{"id":64815,"date":"2025-09-27T14:37:04","date_gmt":"2025-09-27T06:37:04","guid":{"rendered":"https:\/\/swarma.org\/?p=64815"},"modified":"2025-09-27T14:37:04","modified_gmt":"2025-09-27T06:37:04","slug":"chaos%ef%bc%9a%e4%bb%8e%e6%95%b0%e6%8d%ae%e4%b8%ad%e6%8d%95%e8%8e%b7%e5%a4%8d%e6%9d%82%e7%b3%bb%e7%bb%9f%e4%b8%b4%e7%95%8c%e8%bd%ac%e5%8f%98%e7%9a%84%e5%be%aa%e7%8e%af%e5%87%9d%e8%81%9a%e7%8e%b0","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=64815","title":{"rendered":"Chaos\uff1a\u4ece\u6570\u636e\u4e2d\u6355\u83b7\u590d\u6742\u7cfb\u7edf\u4e34\u754c\u8f6c\u53d8\u7684\u5faa\u73af\u51dd\u805a\u73b0\u8c61"},"content":{"rendered":"<div class='wxsyncmain'>\n<section data-mpa-powered-by=\"yiban.io\" data-pm-slice=\"0 0 []\">\n<section>\n<section>\n<section>\n<section>\n<section data-mpa-powered-by=\"yiban.io\" style=\"margin: 0px;padding: 0px;max-width: 100%;font-style: normal;font-weight: 400;letter-spacing: 0.544px;text-align: justify;text-indent: 0px;text-transform: none;font-family: PingFangSC-light;font-size: 15px\" data-pm-slice=\"0 0 []\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;width: 661px;vertical-align: top\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;clear: both;min-height: 1em;text-align: center\" data-mpa-action-id=\"mfdt3c861dav\" data-pm-slice=\"0 0 []\"><img loading=\"lazy\" class=\"rich_pages wxw-img\" data-croporisrc=\"https:\/\/mp.weixin.qq.com\/cgi-bin\/photogalleryproxy?action=proxy&amp;url=https%3A%2F%2Fpixabay.com%2Fget%2Fgf6bc71235fcbac59d8e204df5be3a687c6bb39bcfc3fd67aaa0086d3bf3f610b75f2a34150fd8d7c79e75bea880f4345c0d490213614e056e2c6f641049ae73c_1280.jpg%3Fpermalink&amp;supplier=4&amp;from_public_pic=1\" data-cropselx2=\"578\" data-cropsely2=\"385\" data-galleryid=\"368742843235262464\" data-gallerysupplier=\"4\" data-imgfileid=\"100236039\" data-ratio=\"1\" data-s=\"300,640\" data-type=\"jpeg\" data-w=\"1080\" height=\"1280\" style=\"width: 100%;background-color: transparent\" width=\"1280\" src=\"\/wp-content\/uploads\/2025\/09\/wxsync-2025-09-e1768795ad66183e68eb6d2b31e54a2b.jpeg\" \/><\/section>\n<\/section>\n<section style=\"margin: 10px 0px 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;width: 661px\">\n<section style=\"margin: 0px;padding: 0px 3px 0px 0px;max-width: 100%;float: left;line-height: 1\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;text-align: left\">\n<section style=\"margin: 0px;padding: 0px 0px 0px 10px;max-width: 100%;width: auto;vertical-align: top;min-width: 10%;height: auto;line-height: 0\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;width: 25px;height: 10px;vertical-align: top;overflow: hidden;line-height: 0;border-style: solid solid none;border-width: 3px 3px 2px;border-radius: 0px\"><span><br \/><\/span><\/section>\n<\/section>\n<section style=\"margin: 0px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;text-align: justify;font-size: 16px;line-height: 1.5\">\n<p style=\"margin: 0px;padding: 0px;max-width: 100%;clear: both;min-height: 1em\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span>\u6458\u8981<\/span><\/strong><\/p>\n<\/section>\n<\/section>\n<section style=\"margin: 0px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;width: 24px;height: 10px;vertical-align: top;overflow: hidden;line-height: 0;border-style: solid solid none;border-width: 3px 3px 2px;border-radius: 0px\"><span><br \/><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"margin: 0px;padding: 0px 4px;max-width: 100%;clear: right;min-height: 4.5em !important\">\n<section style=\"margin: 5px 0px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px 8px;max-width: 100%;font-size: 13px;line-height: 2;letter-spacing: 0.544px\">\n<p style=\"margin: 0px;padding: 0px;max-width: 100%;clear: none;min-height: 1em\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><\/strong><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.578px;text-indent: 0em;font-size: 15px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 13px;letter-spacing: 0.544px\" data-mpa-action-id=\"meu1itizseb\"><span>\u590d\u6742\u7cfb\u7edf\u4e2d\u7684\u4e34\u754c\u8f6c\u53d8\uff08critical transitions\uff09\u7ed9\u81ea\u7136\u548c\u5de5\u7a0b\u7cfb\u7edf\u7684\u5065\u5eb7\u8fd0\u884c\u5e26\u6765\u4e86\u6311\u6218\uff0c\u6709\u65f6\u4f1a\u5bfc\u81f4\u707e\u96be\u6027\u7684\u540e\u679c\u3002\u8fd9\u4e9b\u4e34\u754c\u70b9\uff08\u5c0f\u7684\u53d8\u5316\u4f1a\u5bfc\u81f4\u5927\u7684\u72b6\u6001\u8f6c\u53d8\uff09\u5f88\u96be\u88ab\u68c0\u6d4b\u5230\uff0c\u5c24\u5176\u662f\u5728\u5608\u6742\u3001\u9ad8\u7ef4\u7684\u73af\u5883\u4e2d\u3002\u6211\u4eec\u901a\u8fc7\u4f7f\u7528\u5faa\u73af\u5206\u6790\u7814\u7a76\u4e86\u6e4d\u6d41\u6d41\u4f53\u673a\u68b0\u7cfb\u7edf\u4e2d\uff0c\u4ece\u6df7\u6c8c\u5230\u5468\u671f\u632f\u8361\u7684\u95f4\u6b47\u6027\u53d1\u751f\u7684\u8f6c\u53d8\u3002\u4ece\u72b6\u6001\u53d8\u91cf\u7684\u65f6\u95f4\u5e8f\u5217\u6784\u5efa\u7684\u5faa\u73af\u56fe\uff08Recurrence Plot, RPs\uff09\u63ed\u793a\u4e86\u4ece\u65e0\u5e8f\u7684\u77ed\u65ad\u5bf9\u89d2\u7ebf\u5230\u6709\u5e8f\u7684\u77ed\u5bf9\u89d2\u7ebf\u5757\uff0c\u6700\u7ec8\u5230\u957f\u8fde\u7eed\u5bf9\u89d2\u7ebf\u6a21\u5f0f\u7684\u660e\u663e\u8fdb\u5c55\u3002\u8fd9\u79cd\u5faa\u73af\u6a21\u5f0f\u7684\u6f14\u53d8\u6355\u6349\u5230\u4e86\u4ece\u6d89\u53ca\u591a\u4e2a\u65f6\u95f4\u5c3a\u5ea6\u7684\u52a8\u529b\u5b66\u5230\u5360\u4e3b\u5bfc\u5730\u4f4d\u7684\u5355\u4e2a\u65f6\u95f4\u5c3a\u5ea6\u7684\u8f6c\u53d8\uff1b\u6211\u4eec\u5c06\u8fd9\u79cd\u73b0\u8c61\u79f0\u4e3a\u201c\u5faa\u73af\u51dd\u805a\u201d\uff08recurrence condensation\uff09\u3002\u672c\u7814\u7a76\u4f7f\u7528\u5faa\u73af\u91cf\u5316\u6307\u6807\uff0c\u5982<\/span><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.578px;text-indent: 0em;font-size: 15px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 13px;letter-spacing: 0.544px\" data-mpa-action-id=\"meu1itizseb\"><span>\u5faa\u73af<\/span><\/span><\/strong><\/span><\/strong><span>\u65f6\u95f4\u3001\u786e\u5b9a\u6027\u3001\u71b5\u3001\u5c42\u6d41\u6027\u548c\u6355\u83b7\u65f6\u95f4\u6765\u91cf\u5316<\/span><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.578px;text-indent: 0em;font-size: 15px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 13px;letter-spacing: 0.544px\" data-mpa-action-id=\"meu1itizseb\"><span>\u5faa\u73af<\/span><\/span><\/strong><\/span><\/strong><span>\u51dd\u805a\uff0c\u6240\u6709\u8fd9\u4e9b\u6307\u6807\u90fd\u663e\u793a\u51fa\u5411\u5355\u4e2a\u4e3b\u5bfc\u65f6\u95f4\u5c3a\u5ea6\u7684\u574d\u7f29\u3002\u6b64\u5916\uff0c\u8fd9\u4e9b<\/span><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.578px;text-indent: 0em;font-size: 15px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 13px;letter-spacing: 0.544px\" data-mpa-action-id=\"meu1itizseb\"><span>\u5faa\u73af<\/span><\/span><\/strong><\/span><\/strong><span>\u5ea6\u91cf\u4e0e\u63a7\u5236\u53c2\u6570\u504f\u79bb\u4e34\u754c\u70b9\u7684\u504f\u5dee\u5448\u5e42\u5f8b\u7f29\u653e\u5173\u7cfb\u3002\u901a\u8fc7\u4f18\u5316\u6700\u4f73\u5e42\u5f8b\u53ef\u63ed\u793a\u53c2\u6570\u7684\u4e34\u754c\u503c\u3002\u672c\u6587\u5c06\u6b64\u65b9\u6cd5\u5e94\u7528\u4e8e\u542b\u57fa\u672c\u566a\u58f0\u7684\u970d\u666e\u592b\u5206\u5c94\u6a21\u578b\u7684\u5408\u6210\u6570\u636e\uff0c\u5e76\u8bc1\u5b9e\u6240\u68c0\u6d4b\u5230\u7684\u4e34\u754c\u70b9\u4e0e\u5206\u5c94\u70b9\u4e00\u81f4\u3002\u7814\u7a76\u7ed3\u679c\u4e3a\u8bc6\u522b\u5177\u6709\u6e10\u53d8\u8fc7\u6e21\u7684\u566a\u58f0\u7cfb\u7edf\u4e2d\u7684\u4e34\u754c\u70b9\u63d0\u4f9b\u4e86\u89c1\u89e3\uff0c\u5176\u4e2d\u8fc7\u6e21\u70b9\u7684\u5b9a\u4e49\u5e76\u4e0d\u660e\u786e\u3002<\/span><\/span><\/strong><\/span><\/strong><\/p>\n<p style=\"margin: 0px 8px;padding: 0px;max-width: 100%;clear: both;min-height: 1em;line-height: 1.75em\"><span><br \/><\/span><\/p>\n<p style=\"margin: 0px;padding: 0px;max-width: 100%;clear: none;min-height: 1em\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 13px;letter-spacing: 0.544px\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;font-family: PingFangSC-light;font-size: 13px;letter-spacing: 0.544px\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px;text-align: start\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.578px;text-indent: 0em;font-size: 15px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 13px;letter-spacing: 0.544px\"><span>\u5173\u952e\u8bcd\uff1a\u5faa\u73af\u56fe\uff08Recurrence Plot\uff09\uff0c\u5faa\u73af\u51dd\u805a\uff08Recurrence Condensation\uff09\uff0c\u5faa\u73af\u5b9a\u91cf\u5206\u6790\uff08Recurrence Quantification Analysis, RQA\uff09\uff0c\u4e34\u754c\u8f6c\u53d8\uff08Critical Transition\uff09\uff0cHopf\u5206\u5c94\uff08Hopf Bifurcation\uff09<\/span><\/span><\/strong><\/strong><\/strong><\/span><\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"margin: 10px 0px 0px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;width: 661px\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;clear: both;line-height: 0\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;line-height: 0;width: 0px\"><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<section style=\"margin: 10px 0px;padding: 0px;max-width: 100%;font-style: normal;font-weight: 400;letter-spacing: 0.544px;text-indent: 0px;text-transform: none;font-family: PingFangSC-light;font-size: 15px;text-align: center\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;vertical-align: middle;line-height: 0\"><span><img alt=\"\u56fe\u7247\" class=\"rich_pages wxw-img\" data-ratio=\"0.07314814814814814\" data-type=\"png\" data-w=\"1080\" style=\"margin: 0px;padding: 0px;max-width: 100%;height: auto !important;vertical-align: middle;width: 677px !important\" src=\"\" \/><\/span><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px;text-align: right;font-size: 13px\"><\/strong><\/section>\n<\/section>\n<section style=\"margin: 0pt 0px;padding: 0px;max-width: 100%;font-style: normal;font-weight: 400;letter-spacing: 0.544px;text-indent: 0px;text-transform: none;line-height: 1.7;font-size: 11pt;font-family: PingFangSC-light;text-align: right\">\n<p style=\"margin: 0px;padding: 0px;max-width: 100%;clear: both;min-height: 1em\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 13px;font-family: PingFangSC-light;letter-spacing: 0.544px;text-align: right\"><span style=\"font-style: normal;font-weight: 400;text-indent: 0px;text-transform: none;line-height: 1.7;clear: both;min-height: 1em;margin: 0px;padding: 0px;max-width: 100%;font-size: 13px;font-family: PingFangSC-light;letter-spacing: 0.544px;text-align: right\" data-pm-slice=\"1 1 [&quot;para&quot;,{&quot;tagName&quot;:&quot;p&quot;,&quot;attributes&quot;:{&quot;style&quot;:&quot;margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;text-align: right;&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;}]\">\u5f6d\u6668<\/span><\/span><span style=\"font-style: normal;font-weight: 400;text-indent: 0px;text-transform: none;line-height: 1.7;clear: both;min-height: 1em;margin: 0px;padding: 0px;max-width: 100%;font-size: 13px;font-family: PingFangSC-light;letter-spacing: 0.544px;text-align: right\"><strong><span style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 13px;font-family: PingFangSC-light;letter-spacing: 0.544px;text-align: right\">&nbsp;<\/span><\/strong><\/span><span style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 13px;font-family: PingFangSC-light;letter-spacing: 0.544px;text-align: right\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span>| \u4f5c\u8005<\/span><\/strong><\/span><\/p>\n<p style=\"margin: 0px;padding: 0px;max-width: 100%;clear: both;min-height: 1em\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 13px;font-family: PingFangSC-light;letter-spacing: 0.544px;text-align: right\"><span>\u5468\u8389<\/span><\/span><span style=\"margin: 0px;padding: 0px;max-width: 100%;font-size: 13px;font-family: PingFangSC-light;letter-spacing: 0.544px;text-align: right\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span style=\"margin: 0px;padding: 0px;max-width: 100%;font-family: PingFangSC-light;letter-spacing: 0.544px;text-align: right\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span>&nbsp;| \u5ba1\u6821<\/span><\/strong><\/span><\/strong><\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<section data-pm-slice=\"0 0 []\"><img class=\"rich_pages wxw-img\" data-backh=\"189\" data-backw=\"578\" data-height=\"482\" data-imgfileid=\"100236034\" data-ratio=\"0.32700135685210313\" data-type=\"png\" data-w=\"1474\" data-width=\"1474\" style=\"background-color:transparent;width:100%\" src=\"\/wp-content\/uploads\/2025\/09\/wxsync-2025-09-a7c4ec5b9dd9faec7eba32a1add82cbf.png\" \/><\/section>\n<blockquote>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;text-align: left\"><span style=\"font-size: 15px\"><span>\u8bba\u6587\u9898\u76ee\uff1aRecurrence condensation during critical transitions in complex systems<\/span><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;text-align: left\"><span style=\"font-size: 15px\"><span>\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/doi.org\/10.1063\/5.0267157<\/span><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;text-align: left\"><span style=\"font-size: 15px\"><span>\u53d1\u8868\u65f6\u95f4\uff1a2025\u5e748\u67081\u65e5<\/span><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;text-align: left\"><span style=\"font-size: 15px\"><span>\u8bba\u6587\u6765\u6e90\uff1aChaos<\/span><\/span><\/p>\n<\/blockquote>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><strong><span><br \/><\/span><\/strong><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span><span>\u590d\u6742\u7cfb\u7edf\u5e38\u5e38\u5728\u5916\u90e8\u6270\u52a8\u6216\u5185\u90e8\u53c2\u6570\u7f13\u6162\u53d8\u5316\u4e0b\u7a81\u7136\u8de8\u8d8a\u7a33\u5b9a\u8fb9\u754c\uff0c\u8fdb\u5165\u622a\u7136\u4e0d\u540c\u7684\u52a8\u529b\u5b66\u72b6\u6001\u3002\u8fd9\u7c7b\u4e34\u754c\u8f6c\u53d8\u5e7f\u6cdb\u5b58\u5728\u4e8e\u6c14\u5019\u3001\u751f\u6001\u3001\u91d1\u878d\u5e02\u573a\u4ee5\u53ca\u5de5\u7a0b\u7cfb\u7edf\u4e2d\uff0c\u5982\u751f\u6001\u5d29\u584c\u3001\u5e02\u573a\u5d29\u76d8\u3001\u6c14\u5019\u7a81\u53d8\u6216\u71c3\u70e7\u7cfb\u7edf\u5931\u7a33\u3002\u7136\u800c\uff0c\u4f20\u7edf\u7684\u7edf\u8ba1\u65b9\u6cd5\u5f80\u5f80\u9700\u8981\u957f\u65f6\u95f4\u5e8f\u5217\uff0c\u800c\u73b0\u5b9e\u6570\u636e\u77ed\u800c\u6742\u4e71\uff0c\u52a0\u4e0a\u566a\u58f0\u5e72\u6270\uff0c\u4f7f\u5f97\u4e34\u754c\u70b9\u7684\u8bc6\u522b\u53d8\u5f97\u5f02\u5e38\u56f0\u96be \u3002\u56e0\u6b64\uff0c\u53d1\u5c55<\/span><\/span><strong><span><span>\u80fd\u5728\u6709\u9650\u6570\u636e\u4e0e\u5f3a\u566a\u58f0\u73af\u5883\u4e0b\u6355\u6349\u8f6c\u53d8\u4fe1\u53f7\u7684\u65b9\u6cd5\uff0c\u662f\u8de8\u5b66\u79d1\u7684\u6838\u5fc3\u6311\u6218<\/span><\/span><\/strong><span><span>\u3002\u8fd1\u5e74\u6765\uff0c\u5faa\u73af\u5206\u6790\u4f5c\u4e3a\u4e00\u79cd\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u5de5\u5177\uff0c\u56e0\u80fd\u523b\u753b\u65f6\u5e8f\u6570\u636e\u7684\u9690\u85cf\u7ed3\u6784\u800c\u53d7\u5230\u91cd\u89c6\u3002\u672c\u7814\u7a76\u63d0\u51fa\u7684\u201c\u5faa\u73af\u51dd\u805a\u201d\u73b0\u8c61\uff0c\u63ed\u793a\u4e86\u4e34\u754c\u8f6c\u53d8\u8fc7\u7a0b\u4e2d\u65f6\u95f4\u5c3a\u5ea6\u7684\u584c\u7f29\u673a\u5236\uff0c\u5e76\u901a\u8fc7\u5b9e\u9a8c\u4e0e\u7406\u8bba\u6a21\u578b\u9a8c\u8bc1\u5176\u666e\u9002\u6027\uff0c\u4e3a\u590d\u6742\u7cfb\u7edf\u7684\u65e9\u671f\u9884\u8b66\u7814\u7a76\u5f00\u8f9f\u4e86\u65b0\u8def\u5f84 \u3002<\/span><\/span><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span><br \/><\/span><\/span><\/p>\n<h3 style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><strong style=\"font-size: 15px\"><span><br \/><\/span><\/strong><\/h3>\n<h3 style=\", Arial, sans-serif;letter-spacing: 0.544px\">\n<section style=\"letter-spacing: 0.544px;text-align: right;font-size: 13px\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;letter-spacing: 0.544px;text-align: center\">\n<section style=\"vertical-align: middle\">\n<section style=\"margin-bottom: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"clear: both;line-height: 0\">\n<section style=\"line-height: 0;width: 0px\"><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;font-size: 16px;line-height: 1.4\">\n<p><strong><strong style=\"text-align: left;letter-spacing: 0.544px\"><span style=\", Arial, sans-serif\"><strong style=\"letter-spacing: 0.578px\"><span>\u4ece\u6e4d\u6d41\u71c3\u70e7\u5230\u201c\u5faa\u73af\u51dd\u805a\u201d<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;letter-spacing: 0.578px;line-height: 1.75em\"><span><br \/><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u7814\u7a76\u56e2\u961f\u9009\u53d6\u4e86\u6e4d\u6d41\u71c3\u70e7\u4e2d\u7684\u70ed\u58f0\u7cfb\u7edf<\/span><span>\uff08thermoacoustic system\uff09<\/span><span>\u4f5c\u4e3a\u5bf9\u8c61\u3002\u8be5\u7cfb\u7edf\u5728\u6c14\u6d41\u901f\u7387\u53d8\u5316\u4e0b\uff0c\u4f1a\u4ece\u4f4e\u5e45\u5ea6\u7684\u6df7\u6c8c\u566a\u58f0<\/span><span>\uff08combustion noise\uff09<\/span><span>\u8dc3\u8fc1\u5230\u9ad8\u5e45\u5ea6\u7684\u81ea\u6fc0\u632f\u8361<\/span><span>\uff08thermoacoustic instability\uff09<\/span><span>\u3002\u8fd9\u4e00\u8fc7\u7a0b\u5173\u4e4e\u706b\u7bad\u53d1\u52a8\u673a\u548c\u71c3\u6c14\u8f6e\u673a\u7684\u5b89\u5168\uff0c\u8fd8\u4e3a\u7814\u7a76\u4e34\u754c\u8f6c\u53d8\u63d0\u4f9b\u4e86\u7406\u60f3\u573a\u666f\u3002<\/span><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<section style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;text-align: center\"><img class=\"rich_pages wxw-img\" data-height=\"478\" data-imgfileid=\"100236036\" data-ratio=\"0.4099485420240137\" data-type=\"png\" data-w=\"1166\" data-width=\"1166\" style=\"background-color: transparent\" src=\"\/wp-content\/uploads\/2025\/09\/wxsync-2025-09-ed88ded03db6314e24220633b0ae0326.png\" \/><\/section>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.5em;text-align: center\"><span style=\"font-size: 13px\" data-mpa-action-id=\"mfdt4r50emb\" data-pm-slice=\"0 0 []\"><span>\u56fe 1. \u672c\u7814\u7a76\u4e2d\u6240\u7528\u7684\u6e4d\u6d41\u71c3\u70e7\u5ba4\u793a\u610f\u56fe\u3002\u5b89\u88c5\u5728\u71c3\u70e7\u5ba4\u4e0a\u7684\u538b\u529b\u4f20\u611f\u5668\u6d4b\u91cf\u58f0\u538b\u6ce2\u52a8\u3002<\/span><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u5728\u65b9\u6cd5\u5c42\u9762\uff0c\u7814\u7a76\u8005\u9996\u5148\u5c06\u58f0\u538b\u7b49\u5b9e\u9a8c\u65f6\u95f4\u5e8f\u5217\u901a\u8fc7 Takens \u5ef6\u8fdf\u5d4c\u5165\u91cd\u6784\u76f8\u7a7a\u95f4\uff0c\u518d\u4ee5\u6b27\u6c0f\u8ddd\u79bb\u5c0f\u4e8e\u9608\u503c\u4e3a\u6761\u4ef6\u5224\u5b9a\u201c\u5faa\u73af\u201d\uff0c\u4ece\u800c\u7ed8\u5236\u51fa\u9ed1\u767d\u76f8\u95f4\u7684\u5faa\u73af\u56fe\u3002\u901a\u8fc7\u5faa\u73af\u56fe\u7684\u65b9\u5f0f\uff0c\u7814\u7a76\u8005\u53d1\u73b0\uff1a\u5728\u6df7\u6c8c\u6001\uff0c\u5faa\u73af\u56fe\u5448\u73b0\u4e3a\u77ed\u800c\u7834\u788e\u7684\u5bf9\u89d2\u7ebf\uff1b\u968f\u7740\u7cfb\u7edf\u63a5\u8fd1\u4e34\u754c\u70b9\uff0c\u9010\u6e10\u51fa\u73b0\u5c0f\u7247\u6bb5\u7684\u6709\u5e8f\u7ed3\u6784\uff1b\u800c\u5728\u5468\u671f\u6001\u4e0b\uff0c\u5219\u6e05\u6670\u5c55\u73b0\u4e3a\u957f\u800c\u8fde\u7eed\u7684\u5bf9\u89d2\u7ebf\u3002\u8fd9\u79cd\u7531\u591a\u65f6\u95f4\u5c3a\u5ea6\u5411\u5355\u4e00\u65f6\u95f4\u5c3a\u5ea6\u7684\u584c\u7f29\uff0c\u88ab\u5f62\u8c61\u5730\u79f0\u4e3a\u201c\u5faa\u73af\u51dd\u805a\u201d<\/span><span>\uff08recurrence condensation\uff09<\/span><span>\u3002<\/span><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<section style=\"text-align: center;margin-left: 8px;margin-right: 8px;margin-bottom: 0px\"><img class=\"rich_pages wxw-img js_insertlocalimg\" data-imgfileid=\"100236042\" data-ratio=\"1.0675925925925926\" data-s=\"300,640\" data-type=\"png\" data-w=\"1080\" src=\"\/wp-content\/uploads\/2025\/09\/wxsync-2025-09-0ac58b3bd988cbfcb231b69c89a3a03b.png\" \/><\/section>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.5em\"><span style=\"font-size: 13px\" data-mpa-action-id=\"mfe0ikv9xak\" data-pm-slice=\"0 0 []\"><span data-mpa-action-id=\"mfe0j7z5126s\" data-pm-slice=\"0 0 []\"><span><span>\u56fe 2. \u5229\u7528\u03c4 -\u590d\u53d1\u7387\u548c\u5cf0\u95f4\u5149\u8c31\u53ef\u89c6\u5316\u5faa\u73af\u51dd\u805a\u3002\u5728\u71c3\u70e7\u566a\u58f0\u72b6\u6001I-(a) \uff08Re= 2.13 \u00d7 10<\/span><\/span><sup><span>4<\/span><\/sup><span><span>\u65f6\u7684\u6df7\u6c8c\u72b6\u6001\uff09\u3001\u95f4\u6b47\u72b6\u6001II-(a) \uff08Re= 2.88 \u00d7 10<\/span><\/span><\/span><sup><span>4<\/span><\/sup><span data-mpa-action-id=\"mfe0in0zaz2\" data-pm-slice=\"0 0 []\"><span><span>\uff09\u548c\u70ed\u58f0\u4e0d\u7a33\u5b9a\u72b6\u6001III-(a) \uff08Re= 3.09 \u00d7 10<\/span><\/span><sup><span>4<\/span><\/sup><span><span>\u65f6\u7684LCO\u72b6\u6001\uff09\u4e0b\uff0c\u6ed1\u584c\u4f53\u5185\u7684\u58f0\u538b\u6ce2\u52a8\u65f6\u95f4\u5e8f\u5217\u7a33\u5b9a\u4e86\u71c3\u70e7\u5ba4\u3002\u76f8\u5e94\u7684\u76f8\u56fe\u8bf4\u660e\u4e86\u5438\u5f15\u5b50\u5728\u8fd9\u4e9b\u4f53\u7cfb\uff08I-III\uff09\u4e2d\u7684\u6f14\u53d8(C)\u3002\u5206\u522b\u4e3a1,1\u548c0.1 s (B)\u7684\u65f6\u95f4\u5e8f\u5217\u7a97\u53e3\u6784\u5efaRPs (D)\uff0c\u4f7f\u7528\u5bf9\u5e94\u4e8e\u5438\u5f15\u5b50\u5927\u5c0f\u768420%\u7684\u5faa\u73af\u9608\u503c\u3002(I) &#8211; (III)(E)\u7684\u03c4-RR\u3002(I) &#8211; (III)(F)\u56fe(I) &#8211; (III)(E)\u4e2d\u6240\u793a\u03c4- rrr\u7684\u5c16\u5cf0\u95f4\u8c31\u3002\u5728\u71c3\u70e7\u566a\u58f0\u5411\u632f\u8361\u4e0d\u7a33\u5b9a\u8fc7\u6e21\u7684\u8fc7\u7a0b\u4e2d\uff0c\u03c4- rrs\u4ece\u5bbd\u5206\u5e03\u8f6c\u53d8\u4e3a\u5355\u4e00\u503c\uff0c\u8fd9\u5728ISS\u4e2d\u8868\u73b0\u4e3a\u4ece\u5bbd\u8c31\u5411\u4f18\u52bf\u6a21\u6001\u7684\u51dd\u805a\u3002<\/span><\/span><\/span><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<h3 style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><strong style=\"font-size: 15px\"><span><br \/><\/span><\/strong><\/h3>\n<h3 style=\", Arial, sans-serif;letter-spacing: 0.544px\">\n<section style=\"letter-spacing: 0.544px;text-align: right;font-size: 13px\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;letter-spacing: 0.544px;text-align: center\">\n<section style=\"vertical-align: middle\">\n<section style=\"margin-bottom: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"clear: both;line-height: 0\">\n<section style=\"line-height: 0;width: 0px\"><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;font-size: 16px;line-height: 1.4\">\n<p><strong><strong style=\"text-align: left;letter-spacing: 0.544px\"><span style=\", Arial, sans-serif\"><strong style=\"letter-spacing: 0.578px\"><span>\u5faa\u73af\u5b9a\u91cf\u5206\u6790\uff1a\u4ece\u56fe\u50cf\u5230\u6307\u6807<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;letter-spacing: 0.578px;line-height: 1.75em\"><span><br \/><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u4ec5\u9760\u89c6\u89c9\u8bc6\u522b\u5e76\u4e0d\u8db3\u4ee5\u91cf\u5316\u8fd9\u4e00\u73b0\u8c61\u3002\u7814\u7a76\u56e2\u961f\u5f15\u5165\u4e86\u5faa\u73af\u5b9a\u91cf\u5206\u6790<\/span><span>\uff08RQA\uff09<\/span><span>\uff0c\u4ece\u56fe\u4e2d\u63d0\u53d6\u51fa\u591a\u7c7b\u51e0\u4f55\u7279\u5f81\u6307\u6807\uff1a<\/span><\/span><\/p>\n<ul style=\"margin-left: 8px;margin-right: 8px\" class=\"list-paddingleft-1\">\n<li style=\"text-align: left\">\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><strong><span><span>\u786e\u5b9a\u6027\uff08Determinism, DET\uff09<\/span><\/span><\/strong><span><span>\uff1a\u53cd\u6620\u7cfb\u7edf\u8f68\u8ff9\u7684\u53ef\u9884\u6d4b\u6027\uff0c\u968f\u8f6c\u53d8\u800c\u663e\u8457\u63d0\u5347\u3002<\/span><\/span><\/span><\/p>\n<\/li>\n<li style=\"text-align: left\">\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><strong><span><span>\u5bf9\u89d2\u7ebf\u957f\u5ea6\u71b5\uff08Entropy, Entr\uff09<\/span><\/span><\/strong><span><span>\uff1a\u8861\u91cf\u8f68\u8ff9\u590d\u6742\u5ea6\uff0c\u5728\u4e34\u754c\u70b9\u524d\u5148\u5347\u540e\u964d\u3002<\/span><\/span><\/span><\/p>\n<\/li>\n<li style=\"text-align: left\">\n<p style=\"margin-bottom: 8px;line-height: 1.75em\"><span style=\"font-size: 15px\"><strong><span><span>\u5c42\u6d41\u6027\uff08Laminarity, LAM\uff09\u4e0e\u9677\u83b7\u65f6\u95f4\uff08Trapping Time, TT\uff09<\/span><\/span><\/strong><span><span>\uff1a\u63ed\u793a\u7cfb\u7edf\u505c\u7559\u5728\u67d0\u72b6\u6001\u7684\u6301\u7eed\u6027\uff0c\u968f\u4e34\u754c\u70b9\u903c\u8fd1\u800c\u4e0b\u964d\u3002<\/span><\/span><\/span><\/p>\n<\/li>\n<li style=\"text-align: left\">\n<p style=\"margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><strong><span><span>\u5faa\u73af\u65f6\u95f4\uff08Recurrence Time, RT\uff09\u53ca\u5176\u71b5\uff08RTE\uff09<\/span><\/span><\/strong><span><span>\uff1a\u8868\u73b0\u7cfb\u7edf\u56de\u5230\u65e2\u5f80\u8f68\u8ff9\u90bb\u57df\u7684\u65f6\u95f4\u89c4\u5f8b\uff0c\u5728\u8f6c\u53d8\u8fc7\u7a0b\u4e2d\u9010\u6e10\u6536\u655b\u3002<\/span><\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u8fd9\u4e9b\u6307\u6807\u5171\u540c\u523b\u753b\u4e86\u7cfb\u7edf\u4ece\u6df7\u6c8c\u5230\u5468\u671f\u72b6\u6001\u7684\u8f6c\u53d8\u8f68\u8ff9\uff0c\u5e76\u5728\u4e34\u754c\u70b9\u9644\u8fd1\u5448\u73b0\u51fa\u5178\u578b\u7684\u5e42\u5f8b\u7f29\u653e\u5173\u7cfb\uff0c\u5373\u6307\u6807\u4e0e\u63a7\u5236\u53c2\u6570\u504f\u79bb\u4e34\u754c\u503c\u7684\u5dee\u8ddd\u5448\u73b0\u5e42\u6b21\u5173\u7cfb\uff0c\u8fd9\u610f\u5473\u7740\u901a\u8fc7\u5bfb\u627e\u5e42\u5f8b\u62df\u5408\u8bef\u5dee\u6700\u5c0f\u7684\u4f4d\u7f6e\uff0c\u53ef\u4ee5\u7cbe\u786e\u5b9a\u4f4d\u4e34\u754c\u70b9\u3002\u6b64\u5916\uff0c\u5f53\u7cfb\u7edf\u8de8\u8d8a\u4e34\u754c\u70b9\u65f6\uff0c\u65f6\u95f4\u5c3a\u5ea6\u584c\u7f29\uff0c\u8868\u73b0\u4e3a\u71b5\u7684\u964d\u4f4e\u4e0e\u6709\u5e8f\u6027\u7684\u589e\u5f3a \u3002<\/span><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<section style=\"text-align: center;margin-left: 8px;margin-right: 8px;margin-bottom: 0px\"><img class=\"rich_pages wxw-img js_insertlocalimg\" data-imgfileid=\"100236043\" data-ratio=\"1.6366120218579234\" data-s=\"300,640\" data-type=\"png\" data-w=\"732\" src=\"\/wp-content\/uploads\/2025\/09\/wxsync-2025-09-3a1d298f37223e9e7d8bdbb292ad64c4.png\" \/><\/section>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.5em\"><span style=\"font-size: 13px\" data-mpa-action-id=\"mfe0ix88l2\" data-pm-slice=\"0 0 []\"><span><span>\u56fe 3. \u4e34\u754c\u70b9\u9644\u8fd1\u7684 RQA \u5ea6\u91cf\u5c3a\u5ea6\u7f29\u653e\u3002p&#8217; rms I(a)\u548c\u5faa\u73af\u6d4b\u91cfI\uff08b-h\uff09\u968f\u63a7\u5236\u53c2\u6570Re\u7684\u53d8\u5316\u3002\u6211\u4eec\u89c2\u5bdf\u5230\uff0c\u6240\u6709\u57fa\u4e8e\u5faa\u73af\u7684\u6d4b\u91cf\u90fd\u80fd\u63d0\u524d\u9884\u6d4b\u5230\u5468\u671f\u632f\u8361\u7684\u8f6c\u53d8\u3002\u63a7\u5236\u53c2\u6570\uff08Re\uff09\u7684\u5bf9\u5e94\u5dee\u503c\u53ca\u5176\u5728\u4e34\u754c\u70b9\u5904\u7684\u503c\uff08Rec = 2.96\u00b10.069 \u00d7 10<\/span><\/span><sup><span>4<\/span><\/sup><span><span>\uff09\u4e4b\u95f4\u5b58\u5728\u5e42\u5f8b\u6807\u5ea6\u5173\u7cfbII\uff08a-h\uff09\u3002\u5728Rec\u6709\u95f4\u6b47\u6027\uff0c\u5b83\u65e2\u6709\u6df7\u6c8c\u6027\u53c8\u6709\u5468\u671f\u6027\u3002<\/span><\/span><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<h3 style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><strong><span><br \/><\/span><\/strong><\/span><\/h3>\n<h3 style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><\/span><\/h3>\n<h3 style=\", Arial, sans-serif;letter-spacing: 0.544px\">\n<section style=\"letter-spacing: 0.544px;text-align: right;font-size: 13px\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;letter-spacing: 0.544px;text-align: center\">\n<section style=\"vertical-align: middle\">\n<section style=\"margin-bottom: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"clear: both;line-height: 0\">\n<section style=\"line-height: 0;width: 0px\"><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;font-size: 16px;line-height: 1.4\">\n<p><strong><strong style=\"text-align: left;letter-spacing: 0.544px\"><span style=\", Arial, sans-serif\"><strong style=\"letter-spacing: 0.578px\"><span>\u6a21\u578b\u9a8c\u8bc1\uff1aHopf\u5206\u5c94\u4e2d\u7684\u201c\u5faa\u73af\u51dd\u805a\u201d<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<h3 style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><strong><span><br \/><\/span><\/strong><\/span><\/h3>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u4e3a\u4e86\u9a8c\u8bc1\u666e\u9002\u6027\uff0c\u7814\u7a76\u8005\u53c8\u8003\u5bdf\u4e86\u542b\u566a Hopf \u5206\u5c94\u6a21\u578b\u3002\u65e0\u8bba\u662f\u4e9a\u4e34\u754c\u8fd8\u662f\u8d85\u4e34\u754c Hopf \u5206\u5c94\uff0c\u7cfb\u7edf\u90fd\u5728\u63a5\u8fd1\u5206\u5c94\u70b9\u65f6\u8868\u73b0\u51fa\u76f8\u4f3c\u7684\u5faa\u73af\u51dd\u805a\u73b0\u8c61\u3002RQA \u6307\u6807\u63d0\u524d\u51fa\u73b0\u5e42\u5f8b\u7f29\u653e\u4fe1\u53f7\uff0c\u5176\u5bf9\u5e94\u7684\u4e34\u754c\u70b9\u4e0e\u7406\u8bba\u5206\u5c94\u70b9\u9ad8\u5ea6\u4e00\u81f4\u3002\u8fd9\u8bf4\u660e\u5faa\u73af\u51dd\u805a\u5e76\u975e\u6e4d\u6d41\u71c3\u70e7\u7684\u7279\u4f8b\uff0c\u800c\u53ef\u80fd\u662f\u590d\u6742\u7cfb\u7edf\u4e34\u754c\u8f6c\u53d8\u7684\u666e\u9002\u7279\u5f81 \u3002<\/span><\/span><\/p>\n<section style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;text-align: center\"><img class=\"rich_pages wxw-img\" data-height=\"1132\" data-imgfileid=\"100236035\" data-ratio=\"1.6696165191740413\" data-type=\"png\" data-w=\"678\" data-width=\"678\" style=\"background-color: transparent;width: 447px;height: 746px\" src=\"\/wp-content\/uploads\/2025\/09\/wxsync-2025-09-2e071ed41b9effcb20545e56a4f2d458.png\" \/><\/section>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em;text-align: center\"><span style=\"font-size: 13px\" data-mpa-action-id=\"mfdt7u4c1a7y\" data-pm-slice=\"0 0 []\"><span>\u56fe 4. \u566a\u58f0\u4e9a\u4e34\u754c Hopf \u5206\u5c94\u7684 RQA \u5ea6\u91cf\u5c3a\u5ea6\u3002<\/span><\/span><\/p>\n<h3 style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><strong style=\"font-size: 15px\"><span><br \/><\/span><\/strong><\/h3>\n<h3 style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><strong style=\"font-size: 15px\"><span><br \/><\/span><\/strong><\/h3>\n<h3 style=\", Arial, sans-serif;letter-spacing: 0.544px\">\n<section style=\"letter-spacing: 0.544px;text-align: right;font-size: 13px\">\n<section style=\"margin-top: 10px;margin-bottom: 10px;letter-spacing: 0.544px;text-align: center\">\n<section style=\"vertical-align: middle\">\n<section style=\"margin-bottom: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"clear: both;line-height: 0\">\n<section style=\"line-height: 0;width: 0px\"><\/section>\n<\/section>\n<\/section>\n<section style=\"padding-right: 10px;padding-left: 10px;font-size: 16px;line-height: 1.4\">\n<p><strong><strong style=\"text-align: left;letter-spacing: 0.544px\"><span style=\", Arial, sans-serif\"><strong style=\"letter-spacing: 0.578px\"><span>\u7ed3\u8bba\u4e0e\u5c55\u671b<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n<section style=\"margin-top: -2px;, Arial, sans-serif\">\n<section style=\"float: left;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<section style=\"float: right;width: 8px;height: 3px;line-height: 0\"><span><br \/><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;letter-spacing: 0.578px;line-height: 1.75em\"><span><br \/><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u672c\u6587\u63d0\u51fa\u7684\u201c\u5faa\u73af\u51dd\u805a\u201d\u73b0\u8c61\uff0c\u5c06\u590d\u6742\u7cfb\u7edf\u4ece\u6df7\u6c8c\u8d70\u5411\u6709\u5e8f\u7684\u8fc7\u7a0b\u5177\u8c61\u5316\u4e3a\u65f6\u95f4\u5c3a\u5ea6\u7684\u584c\u7f29\uff0c\u5e76\u901a\u8fc7\u5faa\u73af\u56fe\u4e0e RQA \u5b9e\u73b0\u4e86\u5b9a\u91cf\u5316\u63cf\u8ff0\u3002\u5176\u5e42\u5f8b\u7f29\u653e\u7279\u5f81\u4f7f\u5f97\u4e34\u754c\u70b9\u7684\u7cbe\u51c6\u8bc6\u522b\u6210\u4e3a\u53ef\u80fd\u3002<\/span><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><span>\u867d\u7136\u5b9e\u9a8c\u80cc\u666f\u6765\u81ea\u71c3\u70e7\u7269\u7406\uff0c\u4f46\u5176\u65b9\u6cd5\u8bba\u610f\u4e49\u8fdc\u8d85\u5de5\u7a0b\u9886\u57df\uff0c\u8fd8\u53ef\u5e7f\u6cdb\u5e94\u7528\u4e8e\u6c14\u5019\u3001\u751f\u6001\u3001\u91d1\u878d\u548c\u751f\u7269\u7cfb\u7edf\u4e2d\uff0c\u4e3a\u9884\u6d4b\u6f5c\u5728\u707e\u53d8\u63d0\u4f9b\u65e9\u671f\u9884\u8b66\u3002\u6c14\u5019\u7cfb\u7edf\u4e2d\u7684\u51b0\u76d6\u5d29\u584c\u3001\u751f\u6001\u7cfb\u7edf\u7684\u79cd\u7fa4\u706d\u7edd\u3001\u4e43\u81f3\u91d1\u878d\u5e02\u573a\u7684\u5267\u70c8\u6ce2\u52a8\uff0c\u90fd\u5c5e\u4e8e\u9ad8\u7ef4\u3001\u542b\u566a\u58f0\u7684\u4e34\u754c\u8f6c\u53d8\u3002\u8fd9\u4e3a\u672a\u6765\u8de8\u5b66\u79d1\u7684\u4e34\u754c\u8f6c\u53d8\u7814\u7a76\u63d0\u4f9b\u4e86\u5f3a\u5927\u5de5\u5177\u7bb1\u3002<\/span><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;margin-bottom: 0px;line-height: 1.75em\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<section data-pm-slice=\"3 9 [&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{&quot;powered-by&quot;:&quot;xiumi.us&quot;,&quot;style&quot;:&quot;margin-bottom: 0px;white-space: normal;outline: 0px;letter-spacing: 0.544px;color: rgb(136, 136, 136);font-size: 14px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;background-color: rgb(255, 255, 255);&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;},&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;}]\">\n<h1 style=\"margin: 0px 0px 14px;padding: 0px;font-weight: 500;font-size: 22px;line-height: 1.4;, Arial, sans-serif;font-style: normal;letter-spacing: 0.544px;text-align: start;text-indent: 0px;text-transform: none\" data-pm-slice=\"0 0 []\">\n<section>\n<section>\n<section data-pm-slice=\"7 6 [&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{&quot;powered-by&quot;:&quot;xiumi.us&quot;,&quot;style&quot;:&quot;margin-bottom: 0px;white-space: normal;outline: 0px;letter-spacing: 0.544px;color: rgb(136, 136, 136);font-size: 14px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;background-color: rgb(255, 255, 255);&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;},&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;},&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;}]\">\n<section style=\"margin-bottom: 0px;letter-spacing: 0.544px;font-size: 14px;, Arial, sans-serif\" data-pm-slice=\"4 4 [&quot;para&quot;,{&quot;tagName&quot;:&quot;section&quot;,&quot;attributes&quot;:{&quot;powered-by&quot;:&quot;xiumi.us&quot;,&quot;style&quot;:&quot;margin-bottom: 0px;white-space: normal;outline: 0px;letter-spacing: 0.544px;color: rgb(136, 136, 136);font-size: 14px;font-family: -apple-system-font, system-ui, &quot;Helvetica Neue&quot;, &quot;PingFang SC&quot;, &quot;Hiragino Sans GB&quot;, &quot;Microsoft YaHei UI&quot;, &quot;Microsoft YaHei&quot;, Arial, sans-serif;background-color: rgb(255, 255, 255);&quot;},&quot;namespaceURI&quot;:&quot;http:\/\/www.w3.org\/1999\/xhtml&quot;}]\">\n<section style=\"margin-bottom: 0px;letter-spacing: 0.544px;font-size: 14px;, Arial, sans-serif\" data-pm-slice=\"6 4 []\">\n<section style=\"margin-bottom: 5px\"><strong style=\"letter-spacing: 0.544px;font-size: 15px;text-align: left;font-family: PingFangSC-light\"><span><strong style=\"letter-spacing: 0.544px\"><span><br \/><\/span><\/strong><\/span><\/strong><\/section>\n<section data-pm-slice=\"0 0 []\" style=\"margin: 0px;padding: 0px;max-width: 100%;, Arial, sans-serif;font-size: 17px;font-style: normal;font-weight: 400;letter-spacing: 0.544px;text-align: justify;text-indent: 0px;text-transform: none\">\n<section style=\"margin: 10px 0px 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px;font-size: 14px;, Arial, sans-serif;text-align: center;justify-content: center\">\n<section style=\"margin: 0px;padding: 0px;max-width: 100%;width: auto;vertical-align: top;min-width: 10%;height: auto\">\n<section style=\"margin: 0px 0px -15px;padding: 0px;max-width: 100%\">\n<section style=\"margin: 0px;padding: 0px 10px;max-width: 100%;font-size: 16px;line-height: 2;letter-spacing: 3px\">\n<p style=\"margin: 0px;padding: 0px;max-width: 100%;clear: both;min-height: 1em\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\">\u62a5\u540d\u8bfb\u4e66\u4f1a\uff1a\u300c\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u4e0e\u6df7\u6c8c\u300d<\/span><\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 2em\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 2em\"><span style=\"font-size: 15px\"><span>\u96c6\u667a\u4ff1\u4e50\u90e8\u8054\u5408\u5317\u4eac\u5e08\u8303\u5927\u5b66\u5f20\u6c5f\u79d1\u7814\u7ec4\u8054\u548c\u5357\u4fe1\u5927\u674e\u6625\u5f6a\u79d1\u7814\u7ec4\u5e08\u751f\u5171\u540c\u53d1\u8d77<\/span><a class=\"normal_text_link\" target=\"_blank\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247720225&amp;idx=1&amp;sn=9ad7fb9c7bfa849bc32bc0024ae96a94&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"2\" rel=\"noopener noreferrer\"><span>\u300c\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u4e0e\u6df7\u6c8c\u300d\u8bfb\u4e66\u4f1a<\/span><\/a><span>\uff0c\u7531\u5e08\u751f\u5171\u540c\u9886\u8bfb\u300a\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u4e0e\u6df7\u6c8c\u300b\uff0c\u4ee5\u5206\u7ae0\u8282\u7cbe\u8bfb\u7684\u65b9\u5f0f\uff0c\u5e26\u9886\u5927\u5bb6\u7cfb\u7edf\u5b66\u4e60\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u7684\u57fa\u672c\u7406\u8bba\u4e0e\u5178\u578b\u6a21\u578b\uff0c\u7ed3\u5408\u6d1b\u4f26\u5179\u7cfb\u7edf\u3001Kuramoto\u6a21\u578b\u7b49\u7ecf\u5178\u6848\u4f8b\uff0c\u6df1\u5165\u63a2\u8ba8\u6df7\u6c8c\u7684\u8d77\u6e90\u3001\u5206\u5f62\u4e0e\u5947\u5f02\u5438\u5f15\u5b50\u7b49\u524d\u6cbf\u95ee\u9898\u3002<\/span><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 2em\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 2em\"><span style=\"font-size: 15px\"><span>\u672c\u8bfb\u4e66\u4f1a\u4e0d\u4ec5\u8bfb\u4e66\uff0c\u8fd8\u4f1a\u7cfb\u7edf\u5316\u5730\u68b3\u7406\u672c\u4e66\u4e2d\u7684\u91cd\u8981\u6982\u5ff5\uff0c\u5e76\u6574\u7406\u4e3a\u767e\u79d1\u8bcd\u6761\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u8bfb\u5b8c\u672c\u4e66\uff0c\u6211\u4eec\u4f1a\u68b3\u7406\u51fa\u4e00\u5957\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u4e0e\u6df7\u6c8c\u76f8\u5173\u7684\u767e\u79d1\u8bcd\u6761\uff0c\u8fd9\u624d\u662f\u91cd\u70b9\u3002<\/span><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 2em\"><span style=\"font-size: 15px\"><br \/><\/span><\/p>\n<p style=\"margin-left: 8px;margin-right: 8px;line-height: 2em\"><span style=\"font-size: 15px\"><span>\u6211\u4eec\u4e5f\u4f1a\u901a\u8fc7\u68b3\u7406\u8bcd\u6761\u7684\u65b9\u5f0f\uff0c\u8ba9\u5b66\u5458\u7ec4\u6210\u5b66\u4e60\u5c0f\u7ec4\u8fdb\u884c\u6bd4\u8d5b\uff0c\u6700\u7ec8\u4f1a\u8bc4\u51fa\u4f18\u79c0\u5b66\u4e60\u5c0f\u7ec4\u83b7\u5f97\u590d\u6742\u79d1\u5b66\u77e5\u8bc6\u5361\u3001\u6c6a\u5c0f\u5e06\u7b7e\u540d\u7684\u300a\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u4e0e\u6df7\u6c8c\u300b\u3001\u5f20\u6c5f\u7b7e\u540d\u7684\u300a\u89c4\u6a21\u6cd5\u5219\u300b\u3001\u4ee5\u53ca\u8bd1\u8005\u7b7e\u540d\u7684\u300a\u590d\u6742-\u8bde\u751f\u4e8e\u6df7\u6c8c\u4e0e\u79e9\u5e8f\u8fb9\u7f18\u7684\u79d1\u5b66\u300b\u4ee5\u53ca\u7279\u8272\u96c6\u667a\u6587\u5316\u886b\uff01<\/span><\/span><\/p>\n<p><span><br \/><\/span><\/p>\n<section style=\"margin: 0px 8px 24px;padding: 0px;max-width: 100%;, Arial, sans-serif;font-size: 17px;font-style: normal;font-weight: 400;letter-spacing: 0.544px;text-align: justify;text-indent: 0px;text-transform: none\"><img alt=\"\u56fe\u7247\" class=\"rich_pages wxw-img\" data-backh=\"321\" data-backw=\"562\" data-croporisrc=\"https:\/\/mmbiz.qpic.cn\/mmbiz_png\/wibWV1DB7tWItb85aF1bfxWHMl3L8uHVocibggBYeRhxFQV46J4bqkWeopW4bVHdicibkVpo4YEmaPcQUFfYOubw4g\/0?wx_fmt=png&amp;from=appmsg\" data-cropselx2=\"562\" data-cropsely2=\"321\" data-imgfileid=\"100236484\" data-ratio=\"0.5712962962962963\" data-s=\"300,640\" data-type=\"png\" data-w=\"1080\" style=\"margin: 0px;padding: 0px;max-width: 100%;vertical-align: bottom;height: auto !important;background-color: transparent;width: 661px !important\" src=\"\" \/><\/section>\n<section style=\"margin-bottom: 0px;letter-spacing: 0.544px;font-size: 14px;, Arial, sans-serif\" data-pm-slice=\"4 3 []\">\n<section style=\"margin-left: 8px;margin-right: 8px\" data-pm-slice=\"3 3 []\"><span style=\"margin-top: 0px;margin-bottom: 0px;padding: 0px;max-width: 100%;font-size: 15px\"><span style=\"margin-top: 0px;margin-bottom: 0px;padding: 0px;max-width: 100%\"><span style=\"font-weight: normal\">\u8be6\u60c5\u8bf7\u89c1\uff1a<\/span><a class=\"normal_text_link\" target=\"_blank\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247720225&amp;idx=1&amp;sn=9ad7fb9c7bfa849bc32bc0024ae96a94&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u771f\u6b63\u7684\u8bfb\u201c\u4e66\u201d\u4f1a\u6765\u4e86\u2014\u2014\u5f20\u6c5f\u3001\u674e\u6625\u5f6a\u9080\u4f60\u4e00\u8d77\u8bfb\u300a\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u4e0e\u6df7\u6c8c\u300b<\/a><\/span><\/span><\/section>\n<section style=\"margin-left: 8px;margin-right: 8px\" data-pm-slice=\"3 3 []\"><span style=\"margin-top: 0px;margin-bottom: 0px;padding: 0px;max-width: 100%;font-size: 15px\"><span style=\"margin-top: 0px;margin-bottom: 0px;padding: 0px;max-width: 100%\"><br \/><\/span><\/span><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h1>\n<\/section>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.544px;, Arial, sans-serif;font-size: 14px\"><strong><strong style=\"letter-spacing: 0.544px;font-size: 16px;text-align: center;, Arial, sans-serif\"><strong style=\"text-align: left;font-family: PingFangSC-light;letter-spacing: 0.544px\"><span style=\"font-size: 15px;letter-spacing: 0.544px\"><span>\u63a8\u8350\u9605\u8bfb<\/span><\/span><\/strong><\/strong><\/strong><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.544px;, Arial, sans-serif;font-size: 14px\"><strong><\/strong><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.544px;, Arial, sans-serif;font-size: 14px\"><strong><span>1.&nbsp;<a class=\"normal_text_link\" target=\"_blank\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247602338&amp;idx=1&amp;sn=23b5276420b127f6827e4efe6786ec1d&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"2\" rel=\"noopener noreferrer\"><span style=\"text-decoration: underline\">\u81ea\u9002\u5e94\u5206\u5f62\uff1a\u5927\u89c4\u6a21\u7fa4\u4f53\u63a7\u5236\u7684\u786e\u5b9a\u6027\u6df7\u6c8c\u7ea6\u675f<\/span><\/a><\/span><\/strong><span style=\"text-decoration: underline\"><strong><span><br \/><\/span><\/strong><\/span><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.544px;, Arial, sans-serif;font-size: 14px\"><strong style=\"letter-spacing: 0.544px\"><span data-mpa-action-id=\"me3j1z7u9p2\" data-pm-slice=\"0 0 []\"><span>2.&nbsp;<a class=\"normal_text_link\" target=\"_blank\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247656170&amp;idx=1&amp;sn=62d5bfecda9806179640a9b0cb0db873&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"2\" rel=\"noopener noreferrer\"><span style=\"text-decoration: underline\">\u518d\u63a2\u201c\u6df7\u6c8c\u8fb9\u7f18\u201d\uff1a\u81ea\u7136\u7cfb\u7edf\u4e0e\u4eba\u5de5\u7cfb\u7edf\u4e2d\u7684\u8ba1\u7b97\u539f\u7406<\/span><\/a><\/span><span><br \/><\/span><\/span><\/strong><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.544px;, Arial, sans-serif;font-size: 14px\"><strong style=\"letter-spacing: 0.544px\"><span>3.&nbsp;<a class=\"normal_text_link\" target=\"_blank\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247648592&amp;idx=1&amp;sn=11f96514746b6c0942d74ae43a961075&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"2\" rel=\"noopener noreferrer\"><span style=\"text-decoration: underline\">\u4ece\u91cf\u5b50\u5230\u661f\u7a7a\uff1a\u6df7\u6c8c\u4e16\u754c\u7684\u9690\u85cf\u79e9\u5e8f<\/span><\/a><\/span><\/strong><\/section>\n<section style=\"margin-right: 8px;margin-bottom: 8px;margin-left: 8px;letter-spacing: 0.544px;, Arial, sans-serif;font-size: 14px\"><strong style=\"letter-spacing: 0.544px\"><\/strong><\/section>\n<section data-pm-slice=\"4 5 []\" style=\"margin: 0px 8px 8px;padding: 0px;max-width: 100%;font-style: normal;font-weight: 400;letter-spacing: 0.544px;text-align: justify;text-indent: 0px;text-transform: none;, Arial, sans-serif;font-size: 14px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><span style=\"text-decoration: none\">4.&nbsp;<\/span><a class=\"normal_text_link\" target=\"_blank\" style=\"margin: 0px;padding: 0px;text-decoration: none;cursor: default;max-width: 100%\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247710871&amp;idx=1&amp;sn=f572fc0ff9abbc6b32185b835ed39122&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"2\" rel=\"noopener noreferrer\"><span style=\"text-decoration: underline\">\u6d8c\u73b0\u52a8\u529b\u5b66\u5982\u4f55\u7528\u6765\u5206\u6790\u590d\u6742\u7cfb\u7edf\uff1f | \u65b0\u8bfe\u4e0a\u7ebf<\/span><\/a><\/span><\/strong><\/span><span style=\"margin: 0px;padding: 0px;max-width: 100%;text-decoration: underline\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><br \/><\/span><\/strong><\/strong><\/span><\/section>\n<section style=\"margin: 0px 8px 8px;padding: 0px;max-width: 100%;font-style: normal;font-weight: 400;letter-spacing: 0.544px;text-align: justify;text-indent: 0px;text-transform: none;, Arial, sans-serif;font-size: 14px\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;letter-spacing: 0.544px\"><\/strong><strong style=\"margin: 0px;padding: 0px;max-width: 100%;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.544px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\">5.&nbsp;<\/span><\/strong><strong style=\"margin: 0px;padding: 0px;max-width: 100%;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.544px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><a class=\"normal_text_link\" target=\"_blank\" style=\"margin: 0px;padding: 0px;text-decoration: none;cursor: default;max-width: 100%\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247715376&amp;idx=2&amp;sn=e9b6f441a1a3615be72bb0b60594c015&amp;scene=21#wechat_redirect\" data-itemshowtype=\"11\" data-linktype=\"2\" rel=\"noopener noreferrer\"><span style=\"text-decoration: underline\">\u96c6\u667a\u5b66\u56ed\u7cbe\u54c1\u8bfe\u7a0b\u514d\u8d39\u5f00\u653e\uff0c\u89e3\u9501\u7cfb\u7edf\u79d1\u5b66\u4e0e AI \u65b0\u4e16\u754c<\/span><\/a><\/span><\/strong><\/section>\n<p style=\"margin: 0px 8px 8px;padding: 0px;max-width: 100%;clear: both;min-height: 1em;font-style: normal;font-weight: 400;letter-spacing: 0.544px;text-align: justify;text-indent: 0px;text-transform: none;, Arial, sans-serif;font-size: 14px\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\">6.&nbsp;<a class=\"normal_text_link\" target=\"_blank\" style=\"margin: 0px;padding: 0px;text-decoration: none;cursor: default;max-width: 100%\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247716932&amp;idx=1&amp;sn=1fcb8a78a7f0157ad35a15d99f7ee9c1&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"2\" rel=\"noopener noreferrer\"><span style=\"text-decoration: underline\">\u9ad8\u8003\u5206\u6570\u53ea\u662f\u5f20\u5165\u573a\u5238\uff0c\u4f60\u7684\u79d1\u7814\u5192\u9669\u5728\u8fd9\u91cc\u542f\u822a\uff01<\/span><\/a><\/span><\/strong><\/p>\n<p style=\"margin: 0px 8px;padding: 0px;max-width: 100%;clear: both;min-height: 1em;font-style: normal;font-weight: 400;letter-spacing: 0.544px;text-align: justify;text-indent: 0px;text-transform: none;, Arial, sans-serif;font-size: 14px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><strong data-pm-slice=\"0 0 []\" style=\"margin: 0px;padding: 0px;max-width: 100%;, Arial, sans-serif;font-size: 14px;font-style: normal;text-align: justify;text-indent: 0px;text-transform: none;letter-spacing: 0.544px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><span style=\"text-decoration: none\">7.<\/span><\/span><\/strong><\/strong><\/span><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><strong data-pm-slice=\"0 0 []\" style=\"margin: 0px;padding: 0px;max-width: 100%;, Arial, sans-serif;font-size: 14px;font-style: normal;text-align: justify;text-indent: 0px;text-transform: none;letter-spacing: 0.544px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><span style=\"text-decoration: none\">&nbsp;<\/span><\/span><\/strong><\/strong><\/span><span style=\"margin: 0px;padding: 0px;max-width: 100%;text-decoration: underline\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%\"><strong data-pm-slice=\"0 0 []\" style=\"margin: 0px;padding: 0px;max-width: 100%;, Arial, sans-serif;font-size: 14px;font-style: normal;text-align: justify;text-indent: 0px;text-transform: none;letter-spacing: 0.544px\"><strong style=\"margin: 0px;padding: 0px;max-width: 100%;, Arial, sans-serif;font-size: 14px;font-style: normal;letter-spacing: 0.544px;text-align: justify;text-indent: 0px;text-transform: none\" data-pm-slice=\"0 0 []\"><strong data-pm-slice=\"0 0 []\" style=\"margin: 0px;padding: 0px;max-width: 100%;, Arial, sans-serif;font-size: 14px;font-style: normal;text-align: justify;text-indent: 0px;text-transform: none;letter-spacing: 0.544px\"><span style=\"margin: 0px;padding: 0px;max-width: 100%\"><a class=\"normal_text_link\" target=\"_blank\" style=\"margin: 0px;padding: 0px;text-decoration: none;cursor: default;max-width: 100%\" href=\"https:\/\/mp.weixin.qq.com\/s?__biz=MzIzMjQyNzQ5MA==&amp;mid=2247716805&amp;idx=1&amp;sn=176d16c8f5fd5045f380e90ff9c16416&amp;scene=21#wechat_redirect\" data-itemshowtype=\"0\" data-linktype=\"2\" rel=\"noopener noreferrer\">\u91cd\u6574\u5316\u7fa4\u4e0e\u975e\u7ebf\u6027\u7269\u7406\uff0c\u5bfb\u627e\u590d\u6742\u7cfb\u7edf\u8de8\u5c3a\u5ea6\u7684\u5206\u6790\u65b9\u6cd5\u4e28\u65b0\u8bfe\u53d1\u5e03<\/a><\/span><\/strong><\/strong><\/strong><\/strong><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.578px;line-height: 2em\"><span><br \/><\/span><\/p>\n<p style=\"margin-right: 8px;margin-bottom: 0px;margin-left: 8px;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.578px;line-height: 2em\"><span style=\", Arial, sans-serif;font-size: 15px;letter-spacing: 0.578px;text-indent: 0em\"><span><br \/><\/span><\/span><\/p>\n<section style=\"margin-bottom: 0px;, Arial, sans-serif;font-size: 14px;letter-spacing: 0.578px;line-height: 2em;margin-left: 0px;margin-right: 0px\"><span style=\"text-indent: 0em;font-family: PingFangSC-light;font-size: 15px;font-weight: 700;letter-spacing: 0.544px;text-align: left\"><span>\u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u62a5\u540d\u8bfb\u4e66\u4f1a&nbsp;<\/span><\/span><\/section>\n<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u6458\u8981 \u590d\u6742\u7cfb\u7edf\u4e2d\u7684\u4e34\u754c\u8f6c\u53d8\uff08critical 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