{"id":53445,"date":"2024-11-10T22:37:43","date_gmt":"2024-11-10T14:37:43","guid":{"rendered":"https:\/\/swarma.org\/?p=53445"},"modified":"2024-11-10T22:37:43","modified_gmt":"2024-11-10T14:37:43","slug":"%e6%b7%b7%e6%b2%8c%e3%80%81%e5%90%b8%e5%bc%95%e5%ad%90%e3%80%81%e5%88%86%e5%bd%a2%ef%bc%9a%e5%a4%8d%e6%9d%82%e9%9d%9e%e7%ba%bf%e6%80%a7%e7%b3%bb%e7%bb%9f%e7%9a%84%e5%a4%9a%e7%a8%b3%e5%ae%9a%e6%80%a7","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=53445","title":{"rendered":"\u6df7\u6c8c\u3001\u5438\u5f15\u5b50\u3001\u5206\u5f62\uff1a\u590d\u6742\u975e\u7ebf\u6027\u7cfb\u7edf\u7684\u591a\u7a33\u5b9a\u6027\u4e0e\u4e0d\u53ef\u9884\u6d4b\u6027"},"content":{"rendered":"
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\u00c1lvar Daza, Alexandre Wagemakers, Miguel A. F. Sanju\u00e1n<\/span> <\/span>| \u4f5c\u8005<\/span><\/strong><\/span><\/p>\n

\u5f6d\u6668<\/span> <\/span>| \u8bd1\u8005<\/span><\/strong><\/span><\/strong><\/span><\/p>\n

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\u6587\u7ae0\u9898\u76ee\uff1aMultistability and unpredictability<\/span><\/section>\n
\u6587\u7ae0\u5730\u5740\uff1ahttps:\/\/pubs.aip.org\/physicstoday\/article\/77\/11\/44\/3318349\/Multistability-and-unpredictabilityIn-numerous<\/span><\/section>\n<\/blockquote>\n


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\u56fe3. \u5f53\u8bbe\u7f6e\u4e0d\u540c\u7684\u521d\u59cb\u6761\u4ef6\u65f6\uff0c\u8c03\u5236\u6fc0\u5149\u5668\u8868\u73b0\u51fa\u591a\u7a33\u5b9a\u6027[6]\u3002\u4e0a\u56fe\u4e2d\uff0c\u521d\u59cb\u6761\u4ef6\u5bfc\u81f4\u8f93\u51fa\u8109\u51b2\u7684\u529f\u7387\uff08\u7ea2\u8272\uff09\u4e3a\u8c03\u5236\u4fe1\u53f7\uff08\u84dd\u8272\uff09\u7684\u4e09\u5206\u4e4b\u4e00\u3002\u800c\u4e0b\u56fe\u4e2d\uff0c\u8f93\u51fa\u8109\u51b2\u548c\u8c03\u5236\u4fe1\u53f7\u5177\u6709\u76f8\u540c\u7684\u9891\u7387\u3002<\/span><\/p>\n


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\u7814\u7a76\u591a\u7a33\u5b9a\u7cfb\u7edf\u884c\u4e3a\u7684\u4e00\u79cd\u65b9\u6cd5\u662f\u5efa\u7acb\u5c06\u521d\u59cb\u6761\u4ef6\u4e0e\u6700\u7ec8\u7ed3\u679c\u4e4b\u95f4\u7684\u5173\u8054\u56fe\uff0c\u8fd9\u4e2a\u56fe\u88ab\u79f0\u4e3a\u5438\u5f15\u57df<\/strong><\/span>\uff08basin of attraction\uff09<\/span>\u3002\u4f8b\u5982\uff0c\u5728\u56fe1\u4e2d\uff0c\u5982\u679c\u51b3\u7b56\u949f\u6446\u4ece\u9ec4\u8272\u5438\u5f15\u57df\u4e2d\u91ca\u653e\uff0c\u5b83\u6700\u7ec8\u4e5f\u5c06\u505c\u5728\u9ec4\u8272\u533a\u57df\u4e0a\u65b9\u3002\u8fd9\u4e2a\u672f\u8bed\u662f\u4ece\u6c34\u6587\u5b66\u4e2d\u501f\u7528\u6765\u7684\uff0c\u6c34\u6587\u5b66\u4e2d\u7684\u6d41\u57df\u662f\u6307\uff0c\u96e8\u6c34\u6700\u7ec8\u805a\u96c6\u5f62\u6210\u7684\u7279\u5b9a\u6c34\u4f53\u6240\u5728\u7684\u571f\u5730\u533a\u57df\u3002\u975e\u7ebf\u6027\u7cfb\u7edf\u4e2d\uff0c\u56fa\u6709\u7684\u4e0d\u53ef\u9884\u6d4b\u6027\u5e38\u5e38\u5bfc\u81f4\u590d\u6742\u7684\uff0c\u6709\u65f6\u751a\u81f3\u662f\u5206\u5f62\u7684\u5438\u5f15\u57df\u5f62\u72b6\u3002\u4e0b\u56fe\u5c55\u793a\u4e86\u5404\u79cd\u7cbe\u7f8e\u7684\u5438\u5f15\u57df\u3002<\/span><\/section>\n

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\u5f53\u5438\u5f15\u57df\u5177\u6709\u5206\u5f62\u8fb9\u754c\u65f6\uff0c\u8ba4\u4e3a\u7ed3\u679c\u53ef\u9884\u6d4b\u7684\u4e00\u822c\u76f4\u89c9\u662f\u9519\u8bef\u7684[8]\uff0c\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u51b3\u7b56\u949f\u6446\u8fd9\u6837\u7684\u7cfb\u7edf\u770b\u8d77\u6765\u662f\u968f\u673a\u7684\u3002\u5728\u5177\u6709\u5e73\u6ed1\u5438\u5f15\u57df\u8fb9\u754c\u7684\u7cfb\u7edf\u4e2d\uff0c\u521d\u59cb\u6761\u4ef6\u7684\u7cbe\u5ea6\u63d0\u9ad810\u500d\uff0c\u7cfb\u7edf\u7684\u603b\u4f53\u53ef\u9884\u6d4b\u6027\u76f8\u5e94\u63d0\u9ad810\u500d\u3002\u5bf9\u4e8e\u5206\u5f62\u5438\u5f15\u57df\uff0c\u5c06\u7cbe\u5ea6\u63d0\u9ad810\u500d\u53ef\u80fd\u53ea\u4f1a\u5bfc\u81f4\u9884\u6d4b\u7cbe\u5ea6\u63d0\u9ad82-3\u500d\uff0c\u6216\u5728\u6781\u7aef\u60c5\u51b5\u4e0b\u4e0d\u4f1a\u63d0\u9ad8\u3002\u7531\u4e8e\u5206\u5f62\u7684\u81ea\u76f8\u4f3c\u6027\uff0c\u8fd9\u79cd\u60c5\u51b5\u5728\u6bcf\u4e2a\u5c3a\u5ea6\u4e0a\u90fd\u4f1a\u91cd\u590d\u51fa\u73b0\u3002<\/span><\/section>\n

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\u5206\u5f62\u56e0\u5176\u5728\u6240\u6709\u5c3a\u5ea6\u4e0a\u7684\u590d\u6742\u7ed3\u6784\u548c\u975e\u6574\u6570\u7ef4\u5ea6\u800c\u5f97\u540d<\/span>\uff08\u89c1\u4e0b\u6846\u4e2d\u4ecb\u7ecd\uff09<\/span>\u3002\u4f20\u7edf\u62d3\u6251\u7ef4\u5ea6\u53ef\u4ee5\u7406\u89e3\u4e3a\uff0c\u786e\u5b9a\u7269\u4f53\u5185\u4e00\u4e2a\u70b9\u7684\u4f4d\u7f6e\u6240\u9700\u7684\u5750\u6807\u6570\u91cf\uff1a\u4e00\u4e2a\u5750\u6807\u53ef\u4ee5\u5b9a\u4e49\u66f2\u7ebf\u4e0a\u7684\u4f4d\u7f6e\uff0c\u4e24\u4e2a\u5750\u6807\u53ef\u4ee5\u5b9a\u4e49\u66f2\u9762\u4e0a\u7684\u70b9\uff0c\u8bf8\u5982\u6b64\u7c7b\u3002\u5206\u5f62\u7ef4\u6570\u63a8\u5e7f\u4e86\u8fd9\u4e2a\u6982\u5ff5\uff0c\u5e76\u63d0\u4f9b\u4e86\u5bf9\u7269\u4f53\u5360\u636e\u7a7a\u95f4\u7684\u5e7f\u6cdb\u7a0b\u5ea6\u7684\u4fe1\u606f\u3002\u4f8b\u5982\uff0c\u4e00\u6761\u5206\u5f62\u7ef4\u6570\u4e3a1.53\u7684\u5e73\u9762\u66f2\u7ebf\u6240\u5360\u7684\u7a7a\u95f4\u6bd4\u76f4\u7ebf\u5927\uff0c\u4f46\u6bd4\u4e8c\u7ef4\u8868\u9762\u5c0f\u3002\u8fd9\u4e2a\u6570\u5b57\u8868\u793a\u6211\u4eec\u79bb\u90a3\u4e9b\u6781\u9650\u60c5\u51b5\u6709\u591a\u8fd1\u3002<\/span><\/section>\n

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\u5c3d\u7ba1\u5982\u6b64\uff0c\u5206\u5f62\u8fb9\u754c\u7684\u7279\u6027\u4e0d\u4ec5\u9650\u4e8e\u81ea\u76f8\u4f3c\u6027\u548c\u975e\u6574\u6570\u7ef4\u5ea6\u3002\u5b83\u4eec\u53ea\u662f\u51b0\u5c71\u4e00\u89d2\uff0c\u56e0\u4e3a\u5927\u91cf\u5206\u5f62\u5438\u5f15\u57df\u6db5\u76d6\u4e86\u5177\u6709\u57fa\u672c\u9884\u6d4b\u610f\u4e49\u7684\u975e\u51e1\u73b0\u8c61\u3002<\/span><\/section>\n


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\u5206\u5f62\u7ef4\u6570<\/strong><\/p>\n

\u7ef4\u5ea6\u7684\u6982\u5ff5\u6bd4\u5b66\u6821\u91cc\u6559\u7684\u8981\u590d\u6742\u5f97\u591a\uff0c\u7ef4\u5ea6\u8ba1\u7b97\u53ef\u4ee5\u4f7f\u7528\u4e00\u79cd\u79f0\u4e3a\u76d2\u8ba1\u6570\u6cd5\uff08box-counting method\uff09\u7684\u6784\u9020\u65b9\u6cd5\u3002\u505a\u6cd5\u662f\u5728\u611f\u5174\u8da3\u7684\u96c6\u5408\u4e0a\u8986\u76d6\u8fb9\u957f\u4e3a\u03b5\u7684\u76d2\u5b50\uff0c\u5e76\u8ba1\u7b97\u542b\u6709\u96c6\u5408\u90e8\u5206\u7684\u76d2\u5b50\u6570\u91cf N(\u03b5)\u3002\u4f7f\u7528\u4e00\u7ec4\u9012\u51cf\u7684\u03b5\u503c\u91cd\u590d\u8be5\u8fc7\u7a0b\uff0cN(\u03b5) \u7684\u503c\u671f\u671b\u968f\u7740\u03b5\u7684\u51cf\u5c0f\u800c\u589e\u5927\u3002\u800c\u4e8b\u5b9e\u4e0a\uff0c\u5bf9\u4e8e\u8f83\u5c0f\u7684\u03b5\uff0c N(\u03b5) \u4e0e \u03b5-d<\/sup>\u6210\u6b63\u6bd4\uff0c\u5176\u4e2dd\u662f\u96c6\u5408\u7684\u76d2\u8ba1\u6570\uff0c\u5373\u5206\u5f62\u7ef4\u6570\u3002<\/span><\/section>\n

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\u5bf9\u4e8e\u7b80\u5355\u7684\u6b27\u51e0\u91cc\u5f97\u96c6\u5408\uff0c\u5982\u7ebf\u6bb5\u548c\u5706\u76d8\uff0c\u76d2\u8ba1\u6570\u6cd5\u4f3c\u4e4e\u662f\u4e0d\u5fc5\u8981\u7684\uff0c\u56e0\u4e3a\u5b83\u4eec\u7684\u7ef4\u5ea6\u662f\u5df2\u77e5\u7684\uff0c\u53731\u8868\u793a\u7ebf\u6bb5\uff0c2\u8868\u793a\u5706\u76d8\u3002\u5bf9\u4e8e\u50cf\u5206\u5f62\u8fd9\u6837\u590d\u6742\u7684\u51e0\u4f55\u5bf9\u8c61\uff0c\u76d2\u8ba1\u6570\u6cd5\u53d8\u5f97\u975e\u5e38\u6709\u7528\u3002<\/span><\/section>\n

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\u5206\u5f62\u662f\u5177\u6709\u975e\u6574\u6570\u7ef4\u5ea6\u7684\u51e0\u4f55\u5b66\u590d\u6742\u96c6\u5408\u3002\u4e00\u4e2a\u5206\u5f62\u4f8b\u5b50\u662f\u54c8\u5fb7\u900a\u6e7e\u548c\u5927\u897f\u6d0b\u6d41\u57df\u4e4b\u95f4\u7684\u8fb9\u754c\uff0c\u4e0d\u540c\u5730\u7406\u4f4d\u7f6e\u7684\u6392\u6c34\u6700\u7ec8\u4f1a\u8fdb\u5165\u4e0d\u540c\u6d41\u57df\uff0c\u7c7b\u4f3c\u4e8e\u52a8\u529b\u7cfb\u7edf\u4e2d\u7ed3\u679c\u5bf9\u521d\u59cb\u6761\u4ef6\u7684\u654f\u611f\u4f9d\u8d56\u3002<\/span><\/section>\n

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\u8fd9\u51e0\u5f20\u5730\u56fe\u8bf4\u660e\u4e86\u76d2\u8ba1\u6570\u6cd5\u5728\u6d41\u57df\u8fb9\u754c\uff08\u7ea2\u8272\u90e8\u5206\uff09\u7684\u5e94\u7528\u3002\u6bcf\u6b21\u6211\u4eec\u5c06\u5206\u8fa8\u7387\u63d0\u9ad8\u4e00\u500d\uff0c\u8986\u76d6\u66f2\u7ebf\u7684\u76d2\u5b50\uff08\u7070\u8272\u90e8\u5206\uff09\u7684\u6570\u91cf\u5c31\u4f1a\u589e\u52a0\u3002\u7ee7\u7eed\u8fd9\u4e00\u8fc7\u7a0b\uff0c\u76f4\u5230\u03b5\u503c\u975e\u5e38\u5c0f\uff0c\u6211\u4eec\u53ef\u4ee5\u627e\u5230\u4e00\u4e2a\u6807\u5ea6\u5f8b (scaling law)\uff0c\u5176\u4e2d\u03b5\u503c\u7684\u6307\u6570\u5e42\u7ed9\u51fa\u4e86\u66f2\u7ebf\u7684\u5206\u5f62\u7ef4\u6570\u3002<\/span><\/section>\n

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\u4e00\u822c\u6765\u8bf4\uff0c\u5206\u5f62\u7684\u5206\u5f62\u7ef4\u6570\u5927\u4e8e\u5176\u62d3\u6251\u7ef4\u6570\uff08\u5bf9\u4e8e\u76f4\u7ebf\u4e3a1\uff09\uff0c\u4f46\u5c0f\u4e8e\u5176\u5d4c\u5165\u7684\u7a7a\u95f4\u7ef4\u6570\uff08\u5bf9\u4e8e\u66f2\u9762\u4e3a2\uff09\u3002\u591a\u7a33\u5b9a\u7cfb\u7edf\u901a\u5e38\u5448\u73b0\u51fa\u5177\u6709\u5206\u5f62\u8fb9\u754c\u7684\u5438\u5f15\u57df\uff0c\u5bf9\u7cfb\u7edf\u7684\u53ef\u9884\u6d4b\u6027\u5177\u6709\u6839\u672c\u6027\u7684\u5f71\u54cd\u3002<\/span><\/section>\n<\/section>\n

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\u5206\u7c7b\u4e0d\u53ef\u9884\u6d4b\u6027<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n


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\u901a\u5e38\uff0c\u8fb9\u754c\u5c06\u4e24\u4e2a\u533a\u57df\u5206\u5f00\uff0c\u6bd4\u5982\u56fd\u754c\u3002\u6709\u65f6\uff0c\u5b64\u7acb\u7684\u70b9\u5206\u9694\u4e86\u4e24\u4e2a\u4ee5\u4e0a\u7684\u5730\u533a\uff0c\u4f8b\u5982\uff0c\u56db\u89d2<\/span>\uff08Four Corners\uff09<\/span>\u662f\u4e9a\u5229\u6851\u90a3\u5dde\u3001\u72b9\u4ed6\u5dde\u3001\u79d1\u7f57\u62c9\u591a\u5dde\u548c\u65b0\u58a8\u897f\u54e5\u5dde\u4e4b\u95f4\u7684\u5206\u754c\u70b9\u3002\u8fd9\u6837\u7684\u70b9\u5177\u6709\u66f4\u9ad8\u7684\u4e0d\u53ef\u9884\u6d4b\u6027\uff0c\u504f\u79bb\u786e\u5207\u7684\u8fb9\u754c\u70b9\u53ef\u80fd\u5bfc\u5411\u4e24\u79cd\u4ee5\u4e0a\u7684\u53ef\u80fd\u7ed3\u679c\uff0c\u4f8b\u5982\uff0c\u5728\u56db\u89d2\u5904\u88ab\u63a8\u5012\u7684\u4eba\u53ef\u80fd\u5012\u5411\u56db\u4e2a\u5dde\u7684\u4efb\u4f55\u4e00\u4e2a\u3002\u5f53\u8fb9\u754c\u5b8c\u5168\u7531\u8fd9\u4e9b\u70b9\u7ec4\u6210\u65f6\u4f1a\u53d1\u751f\u4ec0\u4e48\uff1f\u5c3d\u7ba1\u8fd9\u6837\u7684\u8fb9\u754c\u6709\u4e9b\u96be\u4ee5\u60f3\u8c61\uff0c\u4f46\u5206\u5f62\u7269\u4f53\u7ecf\u5e38\u6311\u6218\u4f20\u7edf\u7684\u7406\u89e3\u3002<\/span><\/section>\n

<\/span><\/section>\n
<\/section>\n
Four Corners\uff5c\u56fe\u7247\u6765\u6e90\uff1ahttps:\/\/en.wikipedia.org\/wiki\/Four_Corners<\/span><\/section>\n

<\/span><\/section>\n
20\u4e16\u7eaa\u521d\uff0c\u65e5\u672c\u62d3\u6251\u5b66\u5bb6 Takeo Wada \u63d0\u51fa\u4e86\u4e00\u79cd\u521b\u9020\u8fd9\u79cd\u7ed3\u6784\u7684\u65b9\u6cd5\uff1a\u5171\u4eab\u540c\u4e00\u8fb9\u754c\u7684\u4e09\u4e2a\u76f8\u8fde\u96c6\u5408\u3002\u540e\u6765\u4ee5\u4ed6\u7684\u540d\u5b57\u547d\u540d\u4e3a Wada \u57df<\/span>\uff08Wada basin\uff09<\/span>\uff0c\u8868\u793a\u88ab\u5355\u4e00\u8fb9\u754c\u5206\u9694\u7684\u4e09\u4e2a\u6216\u591a\u4e2a\u5206\u5f62\u57df\u3002\u8fd9\u79cd\u62d3\u6251\u7279\u6027\u5e76\u4e0d\u5c11\u89c1\uff0c\u751a\u81f3\u5728\u7b80\u5355\u7684\u7cfb\u7edf\u4e2d\u4e5f\u5f88\u5e38\u89c1\uff0c\u4f8b\u5982\u5728\u8fde\u7eed\u53d7\u8feb\u4f5c\u7528\u4e0b\u7684\u963b\u5c3c\u6446[8]\u3002<\/span><\/section>\n

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<\/section>\n

Wada \u57df\u7684\u725b\u987f\u5206\u5f62\u4f8b\u5b50\u3002\uff5c\u56fe\u7247\u6765\u6e90\uff1ahttps:\/\/en.wikipedia.org\/wiki\/Lakes_of_Wada<\/span><\/p>\n


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Wada \u57df\u5e76\u4e0d\u662f\u6700\u4e0d\u53ef\u9884\u6d4b\u3002\u8fd8\u6709\u4e00\u4e9b\u5206\u5f62\u66f2\u7ebf\uff0c\u5982\u76ae\u4e9a\u8bfa\u66f2\u7ebf\u548c\u5e0c\u5c14\u4f2f\u7279\u66f2\u7ebf\uff0c\u53ef\u4ee5\u5360\u636e\u6574\u4e2a\u7a7a\u95f4\u3002\u4e00\u4e2a\u5360\u636e\u5168\u90e8\u7a7a\u95f4\u7684\u8fb9\u754c\uff0c\u610f\u5473\u7740\u521d\u59cb\u4f4d\u7f6e\u6700\u5fae\u5c0f\u7684\u4e0d\u786e\u5b9a\u6027\u5c06\u5bfc\u81f4\u5b8c\u5168\u672a\u77e5\u7684\u7ed3\u679c\u3002\u5c3d\u7ba1\u662f\u786e\u5b9a\u6027\u7684\uff0c\u4f46\u65e0\u8bba\u7cbe\u5ea6\u5982\u4f55\u63d0\u9ad8\uff0c\u7cfb\u7edf\u603b\u662f\u65e0\u6cd5\u9884\u6d4b\u7684<\/strong>\u3002\u8fd9\u6837\u7684\u60c5\u5883\u662f\u7531 riddled \u57df\u6a21\u62df\uff0c\u67d0\u79cd\u7a0b\u5ea6\u4e0a\uff0criddled \u57df\u53ef\u4ee5\u88ab\u8ba4\u4e3a\u662f\u786e\u5b9a\u6027\u548c\u968f\u673a\u6027\u4e4b\u95f4\u7684\u6865\u6881\u3002\u6b64\u5916\uff0c\u591a\u7a33\u5b9a\u6027\u7cfb\u7edf\u8fd8\u6709\u8bb8\u591a\u66f4\u5947\u7279\u7684\u4f8b\u5b50\uff0c\u5305\u62ec\u96f6\u661f\u5206\u5f62\u57df\u3001\u6df7\u5408\u57df\u548c\u6709\u89e6\u89d2\u7684\u57df[9]\u3002<\/span><\/section>\n

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\u901a\u5e38\u6765\u8bf4\uff0c\u5206\u6790\u52a8\u6001\u8fc7\u7a0b\u7684\u7b2c\u4e00\u6b65\u5305\u62ec\u8ba9\u72b6\u6001\u6f14\u53d8\u5230\u53ef\u4ee5\u8bc6\u522b\u51fa\u6e10\u8fd1\u884c\u4e3a\u3002\u4f8b\u5982\uff0c\u51b3\u7b56\u949f\u6446\u91ca\u653e\u540e\u4e00\u6bb5\u65f6\u95f4\uff0c\u6700\u7ec8\u505c\u5728\u54ea\u4e2a\u7ed3\u679c\u7684\u6001\u52bf\u9010\u6e10\u660e\u6670\uff0c\u5728\u7ed3\u679c\u9644\u8fd1\u4ecd\u4f1a\u4fdd\u6301\u8f7b\u5fae\u6446\u52a8\u3002\u5f53\u7136\u4e0d\u540c\u521d\u59cb\u6761\u4ef6\u4e0b\u7684\u8bd5\u9a8c\u53ef\u80fd\u4f1a\u53d1\u73b0\u4e0d\u540c\u7684\u7ed3\u679c\u3002\u7136\u800c\uff0c\u5728\u4e00\u4e9b\u7cfb\u7edf\u4e2d\uff0c\u8fd9\u4e00\u8fc7\u7a0b\u8fdc\u975e\u663e\u800c\u6613\u89c1\uff0c\u56e0\u4e3a\u7cfb\u7edf\u7684\u5438\u5f15\u57df\u53ef\u80fd\u662f\u9690\u85cf\u7684[10]\u3002\u5f53\u5438\u5f15\u57df\u8ddd\u79bb\u76f8\u5e94\u7684\u7ed3\u679c\u8f83\u8fdc\uff0c\u5e76\u4e14\u6ca1\u6709\u5bfc\u5411\u57df\u7684\u77ac\u6001\u8fc7\u7a0b\u65f6\uff0c\u5c31\u4f1a\u51fa\u73b0\u8fd9\u79cd\u60c5\u51b5\u3002\u63a2\u6d4b\u8fd9\u79cd\u96be\u4ee5\u6349\u6478\u7684\u5438\u5f15\u57df\u9700\u8981\u7279\u6b8a\u5904\u7406\u3002<\/span><\/section>\n

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\u5f53\u8fd9\u4e9b\u5438\u5f15\u5b50\u65e0\u5904\u4e0d\u5728\u65f6\uff0c\u5438\u5f15\u57df\u5f88\u9760\u8fd1\u5176\u5bf9\u5e94\u7684\u5438\u5f15\u5b50\u4e5f\u4f1a\u51fa\u73b0\u95ee\u9898\u3002\u5f53\u4fdd\u5b88\u6df7\u6c8c\u4e0e\u5c0f\u8017\u6563\u7ed3\u5408\u65f6\uff0c\u4f1a\u4ea7\u751f\u6781\u7aef\u591a\u7a33\u5b9a\u6027[11]\uff0c\u5bfc\u81f4\u4ea7\u751f\u5927\u91cf\u4e0d\u540c\u7684\u5438\u5f15\u5b50\u3002\u4e8b\u5b9e\u4e0a\uff0c\u8fd9\u79cd\u60c5\u51b5\u53ef\u4ee5\u4ea7\u751f\u4efb\u610f\u6570\u91cf\u7684\u5438\u5f15\u5b50\u3002\u6b64\u5916\uff0c\u5bf9\u7cfb\u7edf\u7684\u4eba\u4e3a\u64cd\u4f5c\u53ef\u4ee5\u5b9a\u5236\u591a\u7a33\u5b9a\u6027\u573a\u666f\uff0c\u4e24\u4e2a\u7279\u6b8a\u7684\u4f8b\u5b50\u662f\u8d85\u7a33\u5b9a\u6027<\/span>\uff08megastability\uff09<\/span>[12]\u548c\u5d4c\u5957\u7a33\u5b9a\u6027<\/span>\uff08matryoshka multistability\uff09<\/span>[13]\uff0c\u5d4c\u5957\u7a33\u5b9a\u6027\u6307\u5438\u5f15\u5b50\u5d4c\u5957\u5f62\u6210\u6d0b\u8471\u72b6\u7ed3\u6784\u3002<\/span><\/section>\n

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\u6b64\u5916\uff0c\u6539\u53d8\u7814\u7a76\u5bf9\u8c61\u7684\u53c2\u6570\u6709\u65f6\u4f1a\u4ea7\u751f\u4e24\u79cd\u53ef\u80fd\u7684\u7ed3\u679c\uff0c\u8fd9\u4e00\u73b0\u8c61\u79f0\u4e3a\u5206\u5c94<\/span>\uff08bifurcation\uff09<\/span>\u3002\u540c\u4e00\u4e2a\u7cfb\u7edf\u53ef\u80fd\u5448\u73b0\u51fa\u5404\u79cd\u5404\u6837\u7684\u60c5\u51b5\uff0c\u8fd9\u53d6\u51b3\u4e8e\u5b83\u7684\u5177\u4f53\u53c2\u6570\u3002\u57df\u548c\u76f8\u5173\u73b0\u8c61\u7684\u4e30\u5bcc\u591a\u6837\u6027\uff0c\u4f7f\u5f97\u521b\u5efa\u5de5\u5177\u7406\u89e3\u4e0d\u53ef\u9884\u6d4b\u6027\u5e76\u8fdb\u884c\u5206\u7c7b\u5f88\u6709\u5fc5\u8981\u3002<\/span><\/section>\n


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\u91cf\u5316\u5438\u5f15\u57df\u4e0d\u53ef\u9884\u6d4b\u6027\u7684\u6700\u76f4\u63a5\u65b9\u6cd5\u662f\u6d4b\u91cf\u76f8\u5bf9\u4f53\u79ef\u3002\u8003\u8651\u4e00\u4e2a\u704c\u94c5\u7684\u9ab0\u5b50\uff0c\u5176\u4e2d\u4e00\u4e2a\u9762\u7684\u5438\u5f15\u57df\u4f53\u79ef\u662f\u5176\u4ed6\u9762\u7684\u4f53\u79ef\u603b\u548c\u768420\u500d\u3002\u663e\u7136\uff0c\u5927\u591a\u6570\u65f6\u5019\uff0c\u9ab0\u5b50\u843d\u5730\u65f6\u8fd9\u4e2a\u504f\u7f6e\u7684\u9762\u4f1a\u671d\u4e0a\u3002\u8fd9\u79cd\u88ab\u79f0\u4e3a\u57df\u7a33\u5b9a\u6027<\/span>\uff08basin stability\uff09<\/span>\u7684\u7b80\u5355\u6d4b\u91cf\u65b9\u6cd5[14]\u5df2\u7ecf\u6210\u529f\u5730\u5e94\u7528\u4e8e\u63cf\u8ff0\u591a\u7a33\u5b9a\u7f51\u7edc\u548c\u9ad8\u7ef4\u7cfb\u7edf<\/span>\uff08\u5982\u5927\u6c14\u6a21\u5f0f\uff09<\/span>\u3002<\/span><\/section>\n

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\u4f46\u662f\u57df\u4e0d\u4ec5\u53ea\u6709\u5927\u5c0f\u3002\u4e24\u4e2a\u7cfb\u7edf\u4e2d\u5438\u5f15\u57df\u4f53\u79ef\u76f8\u540c\uff0c\u4e0d\u4e00\u5b9a\u610f\u5473\u7740\u4e24\u8005\u7684\u53ef\u9884\u6d4b\u6027\u76f8\u540c\u3002\u4f53\u79ef\u4e4b\u5916\uff0c\u5438\u5f15\u57df\u7684\u5f62\u6001\u4e5f\u5f88\u91cd\u8981\u3002\u4f8b\u5982\uff0c\u4e00\u4e2a\u7531\u5e73\u6ed1\u8fb9\u754c\u5206\u9694\u7684\u5177\u6709\u5bf9\u79f0\u57df\u7684\u53cc\u7a33\u6001\u7cfb\u7edf<\/span>\uff08\u60f3\u8c61\u4e00\u4e2a 2×2 \u7684\u68cb\u76d8\uff09<\/span>\u548c\u4e00\u4e2a\u6709\u6df7\u4e71\u8fb9\u754c<\/span>\uff08\u60f3\u8c61\u7535\u89c6\u566a\u58f0\uff09<\/span>\u7684\u7cfb\u7edf\u53ef\u4ee5\u5448\u73b0\u76f8\u540c\u7684\u4f53\u79ef\u3002\u5c3d\u7ba1\u4e24\u79cd\u60c5\u51b5\u4e0b\u7684\u5438\u5f15\u57df\u7a33\u5b9a\u6027\u662f\u76f8\u540c\u7684\uff0c\u4f46\u60c5\u51b5\u5374\u5927\u4e0d\u76f8\u540c\u3002\u5438\u5f15\u57df\u71b5<\/span>\uff08basin entropy\uff09<\/span>\u662f\u6700\u8fd1\u5f00\u53d1\u7684\u4e00\u79cd\u5de5\u5177\uff0c\u5b83\u7ed3\u5408\u4e86\u8fd9\u4e24\u4e2a\u65b9\u9762\u6765\u5ea6\u91cf\u4e0d\u786e\u5b9a\u6027[15]\u3002<\/span><\/section>\n

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\u5438\u5f15\u57df\u71b5\u53ef\u4ee5\u7406\u89e3\u4e3a\u591a\u4e2a\u56e0\u7d20\u7684\u975e\u7ebf\u6027\u7ec4\u5408\uff0c\u5305\u62ec\u8fb9\u754c\u7684\u5206\u5f62\u7ef4\u6570\u548c\u5438\u5f15\u57df\u5185\u5438\u5f15\u5b50\u7684\u6570\u91cf\u3002\u8fd9\u6837\uff0c\u71b5\u89e3\u91ca\u4e86\u57df\u7684\u5f62\u6001\uff0c\u5e76\u521b\u5efa\u4e86\u4e00\u4e2a\u5408\u7406\u7684\u5206\u7c7b[16]\u3002\u4f8b\u5982\uff0cWada \u57df\u4f7f\u5f97\u88ab\u8fb9\u754c\u5206\u9694\u7684\u5438\u5f15\u5b50\u6570\u91cf\u6700\u5927\u5316\uff0c\u800c riddled \u57df\u6700\u5927\u5316\u7684\u662f\u5206\u5f62\u7ef4\u6570\u3002\u9664\u4e86\u91cf\u5316\u591a\u7a33\u5b9a\u7cfb\u7edf\u7684\u6e10\u8fd1\u4e0d\u53ef\u9884\u6d4b\u6027\u5916\uff0c\u5438\u5f15\u57df\u71b5\u8fd8\u91cf\u5316\u5206\u5f62\u8fb9\u754c\u3001\u5206\u5c94\u548c\u5176\u4ed6\u7279\u5f81\u3002<\/span><\/section>\n

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\u7136\u800c\uff0c\u6211\u4eec\u5e76\u975e\u53ea\u80fd\u89c2\u5bdf\u591a\u7a33\u5b9a\u7cfb\u7edf\u7684\u590d\u6742\u6027\uff0c\u8fd8\u53ef\u4ee5\u8bd5\u7740\u5229\u7528\u5b83[17]\u3002\u6709\u65f6\u4f60\u53d1\u73b0\u81ea\u5df1\u56f0\u5728\u4e00\u79cd\u72b6\u6001\u4e2d\uff0c\u5f88\u60f3\u8fc7\u6e21\u5230\u53e6\u4e00\u79cd\u72b6\u6001\u3002\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u786e\u5b9a\u5c06\u7cfb\u7edf\u79fb\u51fa\u5438\u5f15\u57df\u6240\u9700\u7684\u6700\u5c0f\u6270\u52a8\u662f\u81f3\u5173\u91cd\u8981\u7684\u3002\u6709\u8da3\u7684\u662f\uff0c\u8fd9\u79cd\u6700\u5c0f\u4f5c\u7528\u63d0\u4f9b\u4e86\u5438\u5f15\u57df\u6709\u5173\u7684\u654f\u611f\u6027\u7684\u53e6\u4e00\u79cd\u8861\u91cf\u6807\u51c6\u3002\u6452\u5f03\u9759\u6001\u65b9\u6cd5\uff0c\u53ef\u4ee5\u4f7f\u7528\u4e00\u4e2a\u7cbe\u786e\u65f6\u63a7\u7684\u6270\u52a8\uff0c\u9a71\u52a8\u4ece\u4e00\u4e2a\u6e10\u8fd1\u72b6\u6001\u5230\u53e6\u4e00\u4e2a\u6e10\u8fd1\u72b6\u6001\u7684\u6f14\u5316\u3002\u65e0\u8bba\u91c7\u7528\u4f55\u79cd\u65b9\u6cd5\uff0c\u4e00\u65e6\u786e\u5b9a\u4e86\u6700\u4f73\u6270\u52a8\u7a97\u53e3\uff0c\u5916\u90e8\u63a7\u5236\u5c31\u53ef\u4ee5\u4f7f\u7cfb\u7edf\u8fbe\u5230\u60f3\u8981\u7684\u72b6\u6001\u3002\u6700\u4f73\u7684\u6270\u52a8\u53ef\u80fd\u4e0d\u662f\u5148\u9a8c\u7684\uff0c\u6216\u8005\u4f7f\u7528\u4e00\u4e9b\u53cd\u9988\u65b9\u6cd5\u6765\u907f\u5f00\u8fd9\u4e2a\u56f0\u96be\u3002<\/span><\/section>\n

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\u6df1\u5165\u7814\u7a76\u591a\u7a33\u5b9a\u6027\u6539\u53d8\u4e86\u6211\u4eec\u5bf9\u65e5\u5e38\u4e8b\u7269\u7684\u770b\u6cd5\uff0c\u5e76\u63ed\u793a\u4e86\u4e00\u4e2a\u5145\u6ee1\u65b0\u53ef\u80fd\u6027\u7684\u4e16\u754c\u3002\u672c\u6587\u7684\u8ba8\u8bba\u8d77\u59cb\u4e8e\u4e00\u4e2a\u5c0f\u5c0f\u7684\u51b3\u7b56\u73a9\u5177\uff0c\u4f46\u5bf9\u591a\u7a33\u5b9a\u6027\u7684\u7406\u89e3\u5728\u795e\u7ecf\u79d1\u5b66\u7b49\u9ad8\u7ea7\u4e3b\u9898\u4e2d\u4e5f\u81f3\u5173\u91cd\u8981[18]\u3002\u901a\u8fc7\u5229\u7528\u4ece\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u7814\u7a76\u4e2d\u884d\u751f\u51fa\u6765\u7684\u8bcd\u6c47\uff0c\u7c7b\u4f3c\u4e8e\u63a7\u5236\u7b80\u5355\u949f\u6446\u7684\u8fd0\u52a8\u65b9\u7a0b\uff0c\u6211\u4eec\u53ef\u4ee5\u66f4\u6df1\u5165\u5730\u7406\u89e3\u8ba4\u77e5\u51b3\u7b56\u80cc\u540e\u7684\u590d\u6742\u673a\u5236\u3002\u591a\u7a33\u5b9a\u7cfb\u7edf\u4e2d\u5438\u5f15\u5b50\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u53cd\u6620\u4e86\u4e2a\u4f53\u505a\u51fa\u51b3\u7b56\u65f6\u590d\u6742\u7684\u8ba4\u77e5\u8fc7\u7a0b\u3002<\/span><\/section>\n

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\u591a\u7a33\u5b9a\u6027\u662f\u7269\u7406\u5b66\u5404\u4e2a\u9886\u57df\u90fd\u666e\u904d\u89c2\u5bdf\u5230\u7684\u73b0\u8c61\uff0c\u5305\u62ec\u7ecf\u5178\u529b\u5b66\uff0c\u91cf\u5b50\u529b\u5b66\u548c\u5b87\u5b99\u5b66\uff0c\u4f53\u73b0\u4e86\u5b83\u5728\u63ed\u793a\u4e0d\u540c\u5c3a\u5ea6\u548c\u9886\u57df\u7269\u7406\u73b0\u8c61\u590d\u6742\u6027\u65b9\u9762\u7684\u91cd\u8981\u6027\u3002\u4ece\u57fa\u672c\u52a8\u529b\u7cfb\u7edf\u7684\u7814\u7a76\u4e2d\u83b7\u5f97\u7684\u89c1\u89e3\u901a\u5e38\u5bf9\u89e3\u51b3\u5728\u4e0d\u540c\u9886\u57df\u9047\u5230\u7684\u6311\u6218\u5177\u6709\u6df1\u8fdc\u7684\u5f71\u54cd\u3002\u7b80\u5355\u7cfb\u7edf\u4e2d\u7684\u7ecf\u9a8c\u63d0\u4f9b\u4e86\u6709\u4ef7\u503c\u7684\u89c6\u89d2\u548c\u65b9\u6cd5\u8bba\uff0c\u4e3a\u7269\u7406\u5b66\u4e2d\u5b58\u5728\u5df2\u4e45\u7684\u95ee\u9898\u63d0\u4f9b\u4e86\u65b0\u7684\u6d1e\u89c1\u3002\u56e0\u6b64\uff0c\u5bf9\u591a\u7a33\u5b9a\u6027\u7684\u63a2\u7d22\u4e0d\u4ec5\u4e30\u5bcc\u4e86\u6211\u4eec\u5bf9\u57fa\u7840\u7269\u7406\u7684\u7406\u89e3\uff0c\u4e5f\u4fc3\u8fdb\u4e86\u8de8\u5b66\u79d1\u7684\u534f\u540c\u4f5c\u7528\u3002<\/span><\/section>\n

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\u53c2\u8003\u6587\u732e<\/span><\/strong><\/span><\/h2>\n
1.\u2002A. E. Motter et al., Phys. Rev. Lett. 111, 194101 (2013).<\/span><\/section>\n
2.\u2002J. Strza\u0142ko et al., Dynamics of Gambling: Origins of Randomness in Mechanical Systems, Springer (2009).<\/span><\/section>\n
3.\u2002A. Daza et al., Phys. Rev. D 98, 084050 (2018).<\/span><\/section>\n
4.\u2002U. Alon, An Introduction to Systems Biology: Design Principles of Biological Circuits, 2nd ed., CRC Press (2020).<\/span><\/section>\n
5.\u2002T. Burzynski, P. Perlikowski, P. Brzeski, Chaos 34, 021104 (2024).<\/span><\/section>\n
6.\u2002A. N. Pisarchik, U. Feudel, Phys. Rep. 540, 167 (2014).<\/span><\/section>\n
7.\u2002A. N. Pisarchik, A. E. Hramov, Multistability in Physical and Living Systems: Characterization and Applications, Springer (2022).<\/span><\/section>\n
8.\u2002J. Aguirre, R. L. Viana, M. A. F. Sanju\u00e1n, Rev. Mod. Phys. 81, 333 (2009).<\/span><\/section>\n
9.\u2002Y. Zhang, S. H. Strogatz, Phys. Rev. Lett. 127, 194101 (2021).<\/span><\/section>\n
10.\u2002D. Dudkowski et al., Phys. Rep. 637, 1 (2016).<\/span><\/section>\n
11.\u2002C. Hens, S. K. Dana, U. Feudel, Chaos 25, 053112 (2015).<\/span><\/section>\n
12.\u2002J. C. Sprott et al., Eur. Phys. J. Spec. Top. 226, 1979 (2017).<\/span><\/section>\n
13.\u2002A. Karimov et al., Chaos Solitons Fract. 187, 115412 (2024).<\/span><\/section>\n
14.\u2002P. J. Menck et al., Nat. Phys. 9, 89 (2013).<\/span><\/section>\n
15.\u2002A. Daza et al., Sci. Rep. 6, 31416 (2016).<\/span><\/section>\n
16.\u2002A. Daza, A. Wagemakers, M. A. F. Sanju\u00e1n, Chaos Solitons Fract. 159, 112112 (2022).<\/span><\/section>\n
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18.\u2002J. A. S. Kelso, Philos. Trans. R. Soc. B 367, 906 (2012).<\/span><\/section>\n


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\u6df7\u6c8c\u79d1\u5b66\u7cfb\u5217\u79d1\u666e\u8bfe\u7a0b<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


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\u96c6\u667a\u5b66\u56ed\u7279\u522b\u7b56\u5212\u6df7\u6c8c\u79d1\u5b66\u7cfb\u5217\u8bfe\u7a0b\uff0c\u5e26\u9886\u5b66\u5458\u8d70\u8fd1\u6df7\u6c8c\u7406\u8bba\uff0c\u7406\u89e3\u5404\u7c7b\u6df7\u6c8c\u7cfb\u7edf\uff0c\u5e76\u5c1d\u8bd5\u8de8\u5b66\u79d1\u5e94\u7528\u3002\u8bfe\u7a0b\u9080\u8bf79\u4f4d\u4ece\u4e8b\u6df7\u6c8c\u53ca\u76f8\u5173\u8de8\u5b66\u79d1\u7814\u7a76\u7684\u8d44\u6df1\u5b66\u8005\u62c5\u4efb\u5bfc\u5e08\uff0c\u5bfc\u5e08\u56e2\u961f\u7531\u8457\u540d\u6df7\u6c8c\u7406\u8bba\u5b66\u8005\u3001\u9999\u6e2f\u57ce\u5e02\u5927\u5b66\u8bb2\u5e2d\u6559\u6388\u3001\u6b27\u6d32\u79d1\u5b66\u9662\u9662\u58eb\u9648\u5173\u8363\u9886\u8854\u3002\u7cfb\u5217\u8bfe\u7a0b\u5df2\u7ecf\u5b8c\u6574\u4e0a\u7ebf\uff0c\u52a0\u5165\u5373\u53ef\u89e3\u9501\u5168\u90e8\u8bfe\u7a0b\u5f55\u64ad\uff0c\u66f4\u6709\u5bfc\u5e08\u4eec\u68b3\u7406\u597d\u7684\u7cfb\u5217\u8d44\u6599\u63a8\u8350\u3002\u6b22\u8fce\u5bf9\u6df7\u6c8c\u79d1\u5b66\u548c\u76f8\u5173\u7406\u8bba\u611f\u5174\u8da3\u7684\u670b\u53cb\u52a0\u5165\uff01
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\u8be6\u60c5\u8bf7\u89c1\uff1a<\/span><\/p>\n

\u6df7\u6c8c\u79d1\u5b66\u7cfb\u5217\u79d1\u666e\u8bfe\u7a0b\uff1a\u786e\u5b9a\u6027\u7684\u7cfb\u7edf\u65e0\u6cd5\u9884\u6d4b\uff1f<\/a><\/span><\/strong><\/span><\/p>\n<\/section>\n


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\u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/strong><\/strong>
<\/section>\n
1. <\/strong>\u9648\u5173\u8363\uff1a\u6df7\u6c8c\u79d1\u5b66\u7684\u524d\u4e16\u4eca\u751f | \u6df7\u6c8c\u79d1\u5b66\u7b2c\u4e00\u8bfe<\/a><\/strong><\/span><\/section>\n
2. <\/strong>\u8774\u8776\u6548\u5e94\u548c\u6df7\u6c8c\u6545\u4e8b | \u9648\u5173\u8363<\/a><\/strong><\/section>\n
3. <\/strong>CHAOS\uff1a\u6df7\u6c8c\u7684\u6545\u4e8b\u4e28\u9648\u5173\u8363<\/a><\/strong><\/span><\/section>\n
4. <\/strong><\/span>PRL\u901f\u9012\uff1a\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u7cfb\u7edf\u4e2d\u7684\u9690\u85cf\u591a\u7a33\u6001<\/a><\/strong><\/span><\/section>\n
4. <\/strong><\/span>\u5f20\u6c5f\uff1a\u7b2c\u4e09\u4ee3\u4eba\u5de5\u667a\u80fd\u6280\u672f\u57fa\u7840\u2014\u2014\u4ece\u53ef\u5fae\u5206\u7f16\u7a0b\u5230\u56e0\u679c\u63a8\u7406 | \u96c6\u667a\u5b66\u56ed\u5168\u65b0\u8bfe\u7a0b<\/a><\/strong><\/strong><\/span><\/section>\n
<\/strong>5.<\/strong> 11.11\u4e00\u5e74\u4e00\u6b21\u9650\u65f6\u7279\u60e0\uff01\u52a0\u5165\u96c6\u667a\u5b66\u56edVIP\uff0c\u4e00\u6b21\u6027\u89e3\u9501\u96c6\u667a\u5e73\u53f0\u6240\u6709\u5185\u5bb9\u8d44\u6e90<\/a><\/strong><\/strong><\/span><\/strong><\/strong><\/section>\n

6. <\/strong>\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/strong><\/span><\/a><\/p>\n


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\u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u62a5\u540d\u8bfe\u7a0b<\/strong><\/span><\/strong><\/span><\/strong><\/p>\n

<\/mp-style-type><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

\u5bfc\u8bed \u4ece\u629b\u786c\u5e01\u5230\u76f8\u4e92\u7ed5\u8f6c\u7684\u53cc\u9ed1\u6d1e\u7cfb\u7edf\uff0c\u518d\u5230\u751f\u7269\u4f53\u4e2d\u7684\u57fa\u56e0\u5f00\u5173\uff0c\u8bb8\u591a\u7269\u7406\u7cfb\u7edf\u90fd\u5177\u6709\u591a\u91cd\u7ed3\u679c\uff0c\u8fd9\u79cd\u590d\u6742\u6027\u9650\u5236\u4e86\u6211\u4eec\u5bf9\u7cfb\u7edf\u7684\u9884\u6d4b\u80fd\u529b\u3002\u8fd9\u7bc7\u53d1\u8868\u4e8e Physics Today \u7684\u79d1\u666e\u6587\u7ae0\u4ecb\u7ecd\u4e86\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u4e2d\u7684\u591a\u7a33\u5b9a\u6027\u3002\u4efb\u4f55\u7531\u521d\u59cb\u6761\u4ef6\u51b3\u5b9a\uff0c\u4e14\u5177\u6709\u591a\u4e2a\u7a33\u5b9a\u7ed3\u679c\u7684\u7cfb\u7edf\u88ab\u79f0\u4e3a\u591a\u7a33\u5b9a\u7cfb\u7edf\u3002 \u7814\u7a76\u9886\u57df\uff1a\u975e\u7ebf\u6027\u52a8\u529b\u5b66\uff0c\u591a…<\/p>\n","protected":false},"author":0,"featured_media":53436,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"special":[],"_links":{"self":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/53445"}],"collection":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"replies":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=53445"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/53445\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/53436"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=53445"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=53445"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=53445"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=53445"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}