{"id":53529,"date":"2024-11-14T21:07:58","date_gmt":"2024-11-14T13:07:58","guid":{"rendered":"https:\/\/swarma.org\/?p=53529"},"modified":"2024-11-14T21:07:58","modified_gmt":"2024-11-14T13:07:58","slug":"physics-reports-%e7%bb%bc%e8%bf%b0%ef%bc%9a%e7%94%9f%e6%80%81%e7%b3%bb%e7%bb%9f%e7%9a%84%e7%a8%b3%e5%ae%9a%e6%80%a7","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=53529","title":{"rendered":"Physics Reports \u7efc\u8ff0\uff1a\u751f\u6001\u7cfb\u7edf\u7684\u7a33\u5b9a\u6027"},"content":{"rendered":"
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\u5173\u952e\u8bcd\uff1a\u751f\u6001\u7cfb\u7edf\u7a33\u5b9a\u6027\uff0cLyapunov \u7a33\u5b9a\u6027\uff0c\u9ad8\u9636\u4ea4\u4e92\uff0c\u968f\u673a\u77e9\u9635\u7406\u8bba\uff0c\u590d\u6742\u7f51\u7edc<\/span><\/strong><\/span><\/strong><\/section>\n

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\u8bba\u6587\u9898\u76ee\uff1a<\/span>Stability of ecological systems: A theoretical review<\/span><\/section>\n

\u8bba\u6587\u5730\u5740\uff1ahttps:\/\/www.sciencedirect.com\/science\/article\/abs\/pii\/S0370157324002850<\/span><\/p>\n

\u671f\u520a\u540d\u79f0\uff1aPhysics Reports<\/em><\/span><\/p>\n

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\u751f\u6001\u7cfb\u7edf\u7684\u7a33\u5b9a\u6027\u662f\u751f\u6001\u5b66\u7684\u4e00\u4e2a\u6838\u5fc3\u6982\u5ff5\uff0c\u76f4\u63a5\u5173\u7cfb\u5230\u7269\u79cd\u5171\u5b58\u3001\u751f\u7269\u591a\u6837\u6027\u4ee5\u53ca\u751f\u6001\u7cfb\u7edf\u7684\u6301\u4e45\u6027\u3002\u8fd1\u65e5\u53d1\u8868\u4e8ePhysics Reports<\/em>\u7684\u4e00\u9879\u7efc\u8ff0\u8be6\u7ec6\u63a2\u8ba8\u4e86\u591a\u79cd\u7a33\u5b9a\u6027\u5206\u6790\u6846\u67b6\uff0c\u65e8\u5728\u89e3\u6790\u751f\u6001\u7cfb\u7edf\u4e2d\u7684\u590d\u6742\u4ea4\u4e92\u53ca\u5176\u7a33\u5b9a\u6027\u6761\u4ef6\u3002<\/span><\/p>\n


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\u8fd9\u7bc7\u56de\u987e\u4ece\u751f\u6001\u7cfb\u7edf\u7684\u7ebf\u6027\u7a33\u5b9a\u6027\u3001\u7b26\u53f7\u7a33\u5b9a\u6027\u3001\u5bf9\u89d2\u7a33\u5b9a\u6027\u3001D-\u7a33\u5b9a\u6027\u5230\u7ed3\u6784\u7a33\u5b9a\u6027\uff0c\u5168\u9762\u68b3\u7406\u4e86\u751f\u6001\u5b66\u9886\u57df\u4e2d\u7684\u4e0d\u540c\u7406\u8bba\u6a21\u578b\u3002\u4f5c\u8005\u7279\u522b\u5f3a\u8c03\u4e86 Lyapunov \u7a33\u5b9a\u6027\u7406\u8bba\u7684\u5173\u952e\u4f5c\u7528\uff0c\u6307\u51fa\u8be5\u7406\u8bba\u53ef\u4ee5\u5728\u4e0d\u660e\u786e\u7cfb\u7edf\u5177\u4f53\u52a8\u529b\u5b66\u6a21\u578b\u7684\u60c5\u51b5\u4e0b\uff0c\u5e2e\u52a9\u6211\u4eec\u5224\u65ad\u751f\u6001\u7cfb\u7edf\u5728\u53d7\u5230\u5c0f\u6270\u52a8\u65f6\u80fd\u5426\u4fdd\u6301\u7a33\u5b9a\u3002\u8bb8\u591a\u7814\u7a76\u901a\u8fc7\u6784\u5efa Lyapunov \u51fd\u6570\u6216\u8fd0\u7528\u968f\u673a\u77e9\u9635\u7406\u8bba\uff0c\u6210\u529f\u63ed\u793a\u4e86\u5f71\u54cd\u751f\u6001\u7cfb\u7edf\u7a33\u5b9a\u6027\u7684\u56e0\u7d20\u3002<\/span><\/p>\n


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\u4f8b\u5982\uff0cRobert May<\/strong> <\/strong>\u7684\u7ecf\u5178\u7814\u7a76\u53d1\u73b0\uff0c\u751f\u6001\u7cfb\u7edf\u7684\u590d\u6742\u6027\u8d8a\u9ad8\uff0c\u901a\u5e38\u8d8a\u4e0d\u7a33\u5b9a<\/strong>\u3002\u7136\u800c\uff0c\u540e\u7eed\u7814\u7a76\u663e\u793a\uff0c\u7269\u79cd\u95f4\u76f8\u4e92\u4f5c\u7528\u7684\u5177\u4f53\u7c7b\u578b\uff0c\u6bd4\u5982\u6355\u98df\u8005\u4e0e\u730e\u7269\u5173\u7cfb\uff0c\u53ef\u80fd\u6709\u52a9\u4e8e\u589e\u5f3a\u751f\u6001\u7cfb\u7edf\u7684\u7a33\u5b9a\u6027\u3002\u968f\u7740\u65f6\u95f4\u7684\u63a8\u79fb\uff0c\u5b66\u8005\u4eec\u63d0\u51fa\u4e86\u66f4\u4e3a\u590d\u6742\u7684\u4ea4\u4e92\u6a21\u578b\uff0c\u6307\u51fa\u4e0d\u4ec5\u4ec5\u662f\u7269\u79cd\u4e4b\u95f4\u7684\u4e24\u4e24\u4e92\u52a8\uff0c\u8fd8\u6709\u66f4\u9ad8\u9636\u7684\u4ea4\u4e92\u4f1a\u663e\u8457\u5f71\u54cd\u7cfb\u7edf\u7a33\u5b9a\u6027<\/strong>\u3002\u901a\u8fc7\u8d85\u56fe\u7406\u8bba\u548c\u5f20\u91cf\u5206\u89e3\u7b49\u65b9\u6cd5\uff0c\u8fd9\u4e9b\u9ad8\u9636\u4ea4\u4e92\u5f97\u5230\u4e86\u6709\u6548\u7684\u6570\u5b66\u8868\u8ff0\uff0c\u5e76\u663e\u793a\u51fa\u5176\u5728\u751f\u6001\u7cfb\u7edf\u7ef4\u7a33\u4e2d\u7684\u91cd\u8981\u6027\u3002<\/span><\/p>\n


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\u6b64\u5916\uff0c\u7814\u7a76\u8fd8\u8868\u660e\uff0c\u751f\u6001\u7cfb\u7edf\u7684\u7f51\u7edc\u7ed3\u6784\u3001\u7269\u79cd\u4e4b\u95f4\u7684\u81ea\u6211\u8c03\u8282\u4ee5\u53ca\u6a21\u5757\u5316\u7279\u5f81\u7b49\u56e0\u7d20\uff0c\u90fd\u5bf9\u7cfb\u7edf\u7684\u7a33\u5b9a\u6027\u6709\u91cd\u8981\u5f71\u54cd\u3002\u5c24\u5176\u662f\u6a21\u5757\u5316\u7f51\u7edc\u4e2d\u7684\u7269\u79cd\u5f80\u5f80\u6bd4\u968f\u673a\u7f51\u7edc\u4e2d\u7684\u7269\u79cd\u8868\u73b0\u51fa\u66f4\u5f3a\u7684\u7a33\u5b9a\u6027\uff0c\u800c\u5206\u6563\u548c\u65f6\u95f4\u5ef6\u8fdf\u7b49\u7a7a\u95f4\u548c\u65f6\u95f4\u56e0\u7d20\uff0c\u4e5f\u5728\u7ef4\u6301\u751f\u6001\u7cfb\u7edf\u7a33\u5b9a\u4e2d\u53d1\u6325\u7740\u4e0d\u53ef\u5ffd\u89c6\u7684\u4f5c\u7528\u3002<\/span><\/p>\n


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\u56fe5. \u7ed3\u6784\u7a33\u5b9a\u6027\u3002(a) Andronov\u5bf9\u7ed3\u6784\u7a33\u5b9a\u6027\u7684\u5b9a\u4e49\u3002(b-d) \u7ed3\u6784\u4e0d\u7a33\u5b9a\u5e73\u9762\u7cfb\u7edf\u7684\u76f8\u56fe\u3002<\/span><\/p>\n


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\u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/strong><\/strong><\/section>\n
1. <\/strong>\u591a\u6837\u6027\u4e0e\u590d\u6742\u6027\u7684\u6743\u8861\uff1a\u751f\u6001\u7cfb\u7edf\u901a\u8fc7\u964d\u4f4e\u590d\u6742\u6027\u4fdd\u6301\u7a33\u5b9a<\/a><\/strong><\/span><\/strong><\/section>\n
2. <\/strong>\u96c6\u4f53\u884c\u4e3a\u600e\u6837\u4fc3\u8fdb\u751f\u6001\u7cfb\u7edf\u7684\u7a33\u5b9a\u6027\u4e0e\u591a\u6837\u6027\uff1f<\/a><\/strong><\/span><\/strong><\/section>\n
3. <\/strong>\u524d\u6cbf\u901f\u9012\uff1a\u751f\u7269\u540c\u8d28\u5316\u53ef\u524a\u5f31\u751f\u6001\u7cfb\u7edf\u7684\u7a33\u5b9a\u6027<\/a><\/strong><\/span><\/strong><\/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><\/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\u8bfb\u4e66\u4f1a<\/span><\/section>\n

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\u5173\u952e\u8bcd\uff1a\u751f\u6001\u7cfb\u7edf\u7a33\u5b9a\u6027\uff0cLyapunov \u7a33\u5b9a\u6027\uff0c\u9ad8\u9636\u4ea4\u4e92\uff0c\u968f\u673a\u77e9\u9635\u7406\u8bba\uff0c\u590d\u6742\u7f51\u7edc \u8bba\u6587\u9898\u76ee\uff1aStability of ecological systems: A theoretical review \u8bba\u6587\u5730\u5740\uff1ahttps:\/\/www.sciencedirect.com\/science\/articl…<\/p>\n","protected":false},"author":0,"featured_media":53520,"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\/53529"}],"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=53529"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/53529\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/53520"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=53529"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=53529"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=53529"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=53529"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}