{"id":33147,"date":"2022-03-16T21:06:39","date_gmt":"2022-03-16T13:06:39","guid":{"rendered":"https:\/\/swarma.org\/?p=33147"},"modified":"2022-03-16T21:06:39","modified_gmt":"2022-03-16T13:06:39","slug":"%e7%89%b9%e5%88%8a%ef%bc%9a%e9%9d%9e%e7%ba%bf%e6%80%a7%e4%b8%8e%e5%a4%8d%e6%9d%82%e7%89%a9%e7%90%86%e5%ad%a6","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=33147","title":{"rendered":"\u7279\u520a\uff1a\u975e\u7ebf\u6027\u4e0e\u590d\u6742\u7269\u7406\u5b66"},"content":{"rendered":"
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The European Physical Journal<\/strong><\/em> \u57282020\u5e74\u63a8\u51fa\u300a\u975e\u7ebf\u6027\u548c\u590d\u6742\u7269\u7406\u5b66\u300b\u7279\u520a\uff0c\u4ecb\u7ecd\u4e86\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u3001\u7f51\u7edc\u7406\u8bba\u4ee5\u53ca\u4e13\u6ce8\u4e8e\u7269\u7406\u548c\u5de5\u7a0b\u5e94\u7528\u7684\u590d\u6742\u7cfb\u7edf\u8fd9\u4e00\u9886\u57df\u3002\u7279\u520a\u5305\u542b\u4e00\u7bc7\u5bfc\u8a00\u548c14\u7bc7\u8bba\u6587\uff0c\u8bba\u6587\u6db5\u76d6\u4e86\u7406\u8bba\u548c\u5e94\u7528\u7684\u4e0d\u540c\u65b9\u9762\uff0c\u5c55\u73b0\u4e86\u8be5\u9886\u57df\u6700\u65b0\u7814\u7a76\u7684\u591a\u6837\u6027\u3002\u6211\u4eec\u5bf9\u6458\u8981\u505a\u4e86\u7f16\u8bd1\u3002<\/strong>
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Maistrenko, Perlikowski, Yanchuk\u7b49<\/span> <\/span>| \u4f5c\u8005<\/strong><\/span><\/p>\n

\u6f58\u4f73\u680b<\/span> <\/span>| \u8bd1\u8005<\/strong><\/span><\/strong><\/span><\/p>\n

\u9ec4\u6cfd\u8c6a<\/span> <\/span>| \u5ba1\u6821<\/strong><\/span><\/strong><\/span><\/p>\n

\u9093\u4e00\u96ea<\/span> | \u7f16\u8f91<\/strong><\/span>
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\u7279\u520a\u4e3b\u9898\uff1a<\/span><\/p>\n

Nonlinear and Complex Physics<\/span><\/p>\n

\u7279\u520a\u94fe\u63a5\uff1a<\/span><\/p>\n

https:\/\/link.springer.com\/journal\/11734\/topicalCollection\/AC_fec4d925fa041de00bc55772fec926fd<\/span><\/p>\n<\/section>\n<\/section>\n<\/blockquote>\n


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  1. \n

    \u5149\u6ed1\u4e0e\u975e\u5149\u6ed1\u632f\u5b50\u7684\u5e7f\u4e49\u540c\u6b65\u6027\u8d28<\/p>\n<\/li>\n

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    \u4e0d\u8fde\u7eed\u7cfb\u7edf\u4e2d\u5feb\u901f\u800c\u7b80\u5355\u7684\u674e\u4e9a\u666e\u8bfa\u592b\u6307\u6570\u4f30\u8ba1<\/p>\n<\/li>\n

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    \u81ea\u9002\u5e94\u975e\u5c40\u57df\u632f\u5b50\u7f51\u7edc\u4e2d\u7684\u5b64\u7acb\u72b6\u6001<\/p>\n<\/li>\n

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    \u76f8\u4f4d\u6ede\u540e\u8026\u5408\u673a\u68b0\u632f\u5b50\u4e2d\u7684\u6700\u5c0f\u5d4c\u5408\u6001<\/p>\n<\/li>\n

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    \u5177\u6709\u5e73\u8861\u7ebf\u7684\u632f\u5b50\u7684\u53d7\u8feb\u540c\u6b65<\/p>\n<\/li>\n

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  8. \n

    \u8026\u5408\u675c\u82ac\u632f\u5b50\u73af\u4e2d\u76843-\u73af\u9762\u89e3\u7684\u7a33\u5b9a\u6027<\/p>\n<\/li>\n

  9. \n

    H\u00e9non-Lozi \u578b\u6620\u5c04\u7684\u5206\u6570\u5f62\u5f0f\u4e2d\u7684\u5206\u5c94\u548c\u6df7\u6c8c\u73b0\u8c61<\/p>\n<\/li>\n

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  11. \n

    \u53ef\u6fc0\u53d1 FitzHugh-Nagumo \u7cfb\u7edf\u7cfb\u7efc\u4e2d\u7684\u5d4c\u5408\u6001<\/p>\n<\/li>\n

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    \u8026\u5408\u632f\u5b50\u7f51\u7edc\u4e2d\u7684\u5206\u5c94\u5ef6\u8fdf\u3001\u884c\u6ce2\u548c\u7c7b\u5d4c\u5408\u6001<\/p>\n<\/li>\n

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    \u82f1\u6587\u9898\u76ee\uff1a<\/span><\/section>\n
    Preface to special issue in honor of Tomasz Kapitaniak\u2019s 60th birthday: nonlinear and complex physics<\/span><\/section>\n
    \u539f\u6587\u94fe\u63a5\uff1a<\/span><\/section>\n
    https:\/\/link.springer.com\/article\/10.1140\/epjst\/e2020-000212-1<\/span><\/section>\n
    \u4f5c\u8005\uff1a<\/span><\/section>\n
    Yuri Maistrenko, Przemyslaw Perlikowski, Serhiy Yanchuk<\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n

    <\/section>\n
    \u672c\u671f\u662f\u5728 Tomasz Kapitaniak<\/span>\uff08\u6ce2\u5170\u79d1\u5b66\u9662\u9662\u58eb\uff0c\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u4e13\u5bb6\uff09<\/span>60\u5c81\u751f\u65e5\u4e4b\u9645\uff0c\u4e3a\u8868\u5f70\u4ed6\u5728\u975e\u7ebf\u6027\u79d1\u5b66\u548c\u7406\u8bba\u529b\u5b66\u65b9\u9762\u7684\u6770\u51fa\u8d21\u732e\u800c\u4e13\u95e8\u51fa\u7248\u7684\u4e24\u671f\u7279\u520a\u4e4b\u4e00\u3002\u7b2c\u4e8c\u672c\u5e86\u795d\u7279\u520a\u5c06\u5f88\u5feb\u53d1\u8868\u5728\u300a\u673a\u68b0\u5b66\u300b<\/span>\uff08Meccanica<\/em>\uff09<\/span>\u4e0a\u3002Tomasz Kapitaniak \u76ee\u524d\u662f\u7f57\u5179\u6280\u672f\u5927\u5b66\u673a\u68b0\u5de5\u7a0b\u5b66\u9662\u7684\u6559\u6388\uff0c\u4e5f\u662f\u6ce2\u5170\u79d1\u5b66\u9662\u6210\u5458\u3002\u672c\u7248\u91cd\u70b9\u4ecb\u7ecd\u4e86Tomasz\u5728\u7f51\u7edc\u52a8\u529b\u5b66\u548c\u5d4c\u5408\u6001<\/span>\uff08Chimera states\uff09<\/span>\u9886\u57df\u7684\u7814\u7a76\u6d3b\u52a8\uff0c\u8fd9\u662f\u4e00\u4e2a\u73b0\u4ee3\u7684\u3001\u5177\u6709\u6311\u6218\u6027\u7684\u975e\u7ebf\u6027\u79d1\u5b66\u65b9\u5411\u3002\u8fd9\u4e00\u671f\u4ecb\u7ecd\u4e8614\u7bc7\u8bba\u6587\uff0c\u6db5\u76d6\u4e86\u7406\u8bba\u548c\u5e94\u7528\u7684\u4e0d\u540c\u65b9\u9762\u3002\u6211\u4eec\u5e0c\u671b\u8fd9\u4e9b\u8bba\u6587\u80fd\u591f\u4e3a\u79d1\u5b66\u754c\u672a\u6765\u7684\u8bb8\u591a\u7814\u7a76\u63d0\u4f9b\u53c2\u8003\u3002<\/span><\/section>\n
     <\/span><\/section>\n
    \u672c\u671f\u7279\u520a\u4e2d\u7ea6\u6709\u4e00\u534a\u7684\u6587\u7ae0\u6d89\u53ca\u5230\u5d4c\u5408\u6001\uff0c\u8fd9\u662f\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u548c\u7edf\u8ba1\u7269\u7406\u5b66\u5728\u7f51\u7edc\u79d1\u5b66\u4e2d\u5e94\u7528\u7684\u4e00\u4e2a\u8fc5\u901f\u53d1\u5c55\u7684\u5206\u652f\u3002\u5176\u4f59\u7684\u6587\u7ae0\u5219\u4ece\u7406\u8bba\u5230\u5e94\u7528\uff0c\u5bf9\u975e\u7ebf\u6027\u548c\u590d\u6742\u7269\u7406\u5b66\u7684\u4e0d\u540c\u65b9\u9762\u8fdb\u884c\u4e86\u9610\u8ff0\u3002\u4e0b\u9762\u6211\u4eec\u5c06\u5bf9\u6bcf\u7bc7\u6587\u7ae0\u4e2d\u5f97\u5230\u7684\u7ed3\u679c\u505a\u4e00\u4e2a\u7b80\u77ed\u7684\u4ecb\u7ecd\u3002<\/span><\/section>\n
     <\/span><\/section>\n
    Balcerzak\u7b49\u4eba[1]\u7814\u7a76\u5168\u540c\u7cfb\u7edf\u4e0e\u4e00\u4e2a\u540c\u7c7b\u578b\u4e3b\u632f\u5b50\u5355\u5411\u8026\u5408\u7684\u540c\u6b65\u73b0\u8c61\u3002\u6587\u4e2d\u8003\u8651\u4e86\u4e24\u7c7b\u7cfb\u7edf\uff0c\u7531\u5149\u6ed1\u548c\u975e\u5149\u6ed1\u5e38\u5fae\u5206\u65b9\u7a0b\u7ed9\u51fa\u3002\u4f5c\u8005\u8868\u660e\uff0c\u968f\u7740\u8026\u5408\u53c2\u6570\u7684\u589e\u5927\uff0c\u4f1a\u51fa\u73b0\u5e7f\u4e49\u540c\u6b65<\/span>\uff08generalized synchronization\uff0cGS\uff09<\/span>\u3002\u9996\u5148\uff0c\u632f\u5b50\u8fdb\u884c\u72ec\u7acb\u8fd0\u52a8\uff0c\u7136\u540e\u5b83\u4eec\u5f00\u59cb\u5728\u5f31GS\u533a\u4e0b\u8fdb\u884c\u540c\u6b65\uff0c\u6700\u540e\u8fbe\u5230\u5f3a GS \u72b6\u6001\u3002\u8fd9\u4e9b\u8f6c\u53d8\u5728\u674e\u4e9a\u666e\u8bfa\u592b\u6307\u6570<\/span>\uff08Lyapunov exponents\uff09<\/span>\u8c31\u4e2d\u662f\u53ef\u89c1\u7684\u3002Korneev \u7b49\u4eba[5]\u8003\u8651\u4e86\u4e00\u4e2a\u975e\u81ea\u4e3b\u7684\u57fa\u4e8e\u5fc6\u963b\u5668\u7684\u632f\u5b50\uff0c\u5176\u5e73\u8861\u7ebf\u7531\u4e00\u4e2a\u5468\u671f\u6027\u7684\u529b\u9a71\u52a8\u3002\u4ed6\u4eec\u63d0\u51fa\u4e86\u4e24\u79cd\u540c\u6b65\u673a\u5236\uff1a\u6355\u83b7\u632f\u5b50\u7684\u76f8\u4f4d\u548c\u9891\u7387\uff0c\u4ee5\u53ca\u901a\u8fc7\u5916\u90e8\u4fe1\u53f7\u6291\u5236\u632f\u8361\u3002Borkowski\u7b49\u4eba[8]\u53d1\u8868\u4e86\u5bf9\u5355\u5411\u8026\u5408\u7684\u675c\u82ac\u632f\u5b50<\/span>\uff08Duffing oscillators\uff09<\/span>\u73af\u4e2d3-\u73af\u9762\u89e3\u7684\u7a33\u5b9a\u6027\u7684\u7814\u7a76\u3002\u7531\u4e8e\u51fa\u73b0\u4e86\u4e24\u4e2a\u4ee5\u65e0\u7406\u6570\u9891\u7387<\/span>\uff08irrational frequencies\uff09<\/span>\u4e3a\u7279\u5f81\u7684\u72ec\u7acb\u6548\u5e94\u7684\u53e0\u52a0\uff0c\u5373\u7ecf\u5178Newhouse\u3001Ruelle\u548cTakens\u60c5\u5f62\uff0c\u4ee5\u53ca\u6b64\u7c7b\u8026\u5408\u7684\u5178\u578b\u65cb\u8f6c\u6ce2\u6d41\uff0c\u8be5\u89e3\u8d8b\u4e8e\u7a33\u5b9a\u3002<\/span><\/section>\n
     <\/span><\/section>\n
    Berner\u7b49\u4eba[3]\u8003\u8651\u4e86\u81ea\u9002\u5e94\u8026\u5408\u76f8\u4f4d\u632f\u5b50\u7684\u975e\u5c40\u90e8\u73af\u5f62\u7f51\u7edc\u4e2d\u7684\u540c\u6b65\u3002\u672c\u6587\u5305\u62ec\u5bf9\u5404\u79cd\u9891\u7387\u540c\u6b65\u72b6\u6001\u7684\u63cf\u8ff0\uff0c\u5982\u9501\u76f8<\/span>\uff08phase-locked\uff09<\/span>\u3001\u591a\u7c07<\/span>\uff08multicluster\uff09<\/span>\u548c\u5b64\u7acb\u72b6\u6001<\/span>\uff08solitary states\uff09<\/span>\uff0c\u5e76\u8f85\u4ee5\u4e25\u683c\u7684\u7a33\u5b9a\u6027\u5206\u6790\u3002\u6587\u7ae0\u89e3\u91ca\u4e86\u5b64\u7acb\u72b6\u6001\u7684\u51fa\u73b0\uff0c\u5e76\u5bf9\u8fd9\u4e9b\u72b6\u6001\u7684\u4ea7\u751f\u548c\u7a33\u5b9a\u7684\u51e0\u79cd\u4e0d\u540c\u60c5\u5f62\u8fdb\u884c\u4e86\u5206\u7c7b\u3002<\/span><\/section>\n
       <\/span><\/section>\n
    Balcerzak\u7b49\u4eba[2]\u7814\u7a76\u4e86\u5229\u7528\u674e\u4e9a\u666e\u8bfa\u592b\u6307\u6570\u7684\u5177\u6709\u4e0d\u8fde\u7eed\u6027\u7684\u7cfb\u7edf\u7684\u7a33\u5b9a\u6027\u3002\u4ed6\u4eec\u5c55\u793a\u4e86\u4e00\u79cd\u5feb\u901f\u800c\u7b80\u5355\u7684\u6307\u6570\u4f30\u8ba1\u65b9\u6cd5\uff0c\u5e76\u4ee5\u4e00\u4e2a\u9759\u6b62\u72b6\u6001\u4e0b\u6709\u5916\u529b\u5f71\u54cd\u7684\u7cfb\u7edf\u4e3a\u4f8b\u8fdb\u884c\u8bf4\u660e\u3002\u4ed6\u4eec\u63d0\u51fa\u7684\u7b97\u6cd5\u53ef\u4ee5\u7b80\u5316\u5bf9\u975e\u5149\u6ed1\u52a8\u529b\u7cfb\u7edf\u7684\u7814\u7a76\u3002Pei\u548cJia[10]\u7814\u7a76\u4e86\u4e00\u4e2a\u5177\u6709\u72b6\u6001\u4f9d\u8d56\u7684\u9a71\u52a8\u65f6\u95f4\u5ef6\u8fdf\u7684\u4e3b\u52a8\u63a7\u5236\u7cfb\u7edf\u3002\u4f7f\u7528Galerkin\u65b9\u6cd5\uff0c\u7cfb\u7edf\u7684\u590d\u6742\u6027\u88ab\u964d\u4f4e\u5230\u4f4e\u7ef4\u8fd1\u4f3c\u503c\u3002\u4ed6\u4eec\u5229\u7528Routh-Hurwitz\u5224\u636e\u7814\u7a76\u4e86\u7a33\u5b9a\u6027\u548cHopf\u5206\u5c94\u95ee\u9898\u3002\u6240\u6709\u7684\u5206\u6790\u7ed3\u679c\u90fd\u5f97\u5230\u4e86\u6570\u503c\u6a21\u62df\u7684\u9a8c\u8bc1\u3002<\/span><\/section>\n
     <\/span><\/section>\n
    Wang\u7b49\u4eba[14]\u5173\u6ce8\u6700\u8fd1\u53d1\u73b0\u7684\u4e00\u79cd\u79f0\u4e3a\u5de8\u7a33\u6001<\/strong><\/span>\uff08megastable\uff09<\/span>\u7684\u591a\u7a33\u6001\u7cfb\u7edf\u3002\u8fd9\u6837\u7684\u7cfb\u7edf\u6709\u65e0\u9650\u591a\u7684\u5171\u5b58\u5438\u5f15\u5b50\u3002\u57281\u578b\u5de8\u7a33\u6001\u4e2d\uff0c\u5438\u5f15\u5b50\u7684\u6570\u91cf\u53cd\u6620\u4e86\u5e73\u8861\u6001\u7684\u6570\u91cf\uff0c\u57282\u578b\u4e2d\u5219\u6ca1\u6709\u8fd9\u79cd\u5173\u7cfb\u3002\u4f5c\u8005\u4ecb\u7ecd\u7684\u7b2c\u4e00\u4e2a\u5de8\u7a33\u6001\u7cfb\u7edf\uff0c\u5b83\u7684\u65b9\u7a0b\u5177\u6709\u5947\u70b9\u3002\u4f7f\u7528\u6807\u51c6\u7684\u5206\u6790\u5de5\u5177\uff0c\u4ed6\u4eec\u5c55\u793a\u4e86\u5404\u79cd\u7cfb\u7edf\u52a8\u529b\u5b66\uff0c\u5305\u62ec\u6781\u9650\u5faa\u73af\u3001\u73af\u9762\u548c\u5947\u5f02\u5438\u5f15\u5b50\u3002Lazarek\u7b49\u4eba[6]\u63d0\u51fa\u4e86\u53e6\u4e00\u4e2a\u5de5\u7a0b\u5e94\u7528\uff0c\u5373\u6469\u6258\u8f66\u8fd0\u52a8\u5b66\u7684\u9ad8\u7cbe\u5ea6\u6a21\u578b\u3002\u6240\u4ecb\u7ecd\u7684\u8fed\u4ee3\u65b9\u6cd5\u5141\u8bb8\u8ba1\u7b97\u524d\u8f6e\u8f6e\u80ce\u4e0e\u5730\u9762\u63a5\u89e6\u70b9\u7684\u6b63\u786e\u4fef\u4ef0\u89d2\u503c\u548c\u4f4d\u7f6e\u3002\u5b83\u660e\u786e\u8bf4\u660e\u4e86\u7ffb\u8f66\u72b6\u6001\u548c\u98a0\u7c38\u884c\u4e3a\u4e4b\u95f4\u7684\u4f9d\u8d56\u5173\u7cfb\uff0c\u5e76\u63cf\u8ff0\u4e86\u8be5\u7b97\u6cd5\u5728\u7535\u5b50\u63a7\u5236\u5355\u5143\u9632\u6b62\u524d\u8f6e\u79bb\u5730\u73b0\u8c61<\/span>\uff08wheelie phenomena\uff09<\/span>\u4e2d\u7684\u76f4\u63a5\u5e94\u7528\u3002<\/span><\/section>\n
     <\/span><\/section>\n
    \u5d4c\u5408\u6001<\/span><\/strong>\u662f\u4e00\u79cd2002\u5e74\u4ee5\u6765\u4e86\u89e3\u5230\u7684\u975e\u7ebf\u6027\u8026\u5408\u7cfb\u7edf\u4e2d\u7684\u73b0\u8c61\u3002\u5b83\u7684\u7279\u70b9\u662f\u5728\u4e00\u4e2a\u5747\u5300\u8026\u5408\u7f51\u7edc\u4e2d\u540c\u6b65\u548c\u975e\u540c\u6b65\u7684\u7c07\u5171\u5b58\u3002Lu\u7b49\u4eba[7]\u7814\u7a76\u4e86\u4e00\u4e2a\u975e\u5168\u540c\u8026\u5408\u7684\u8303\u5fb7\u6ce2\u5c14\u632f\u5b50<\/span>\uff08van der Pol’s oscillators\uff09<\/span>\u7f51\u7edc\uff0c\u5e76\u7814\u7a76\u4e86\u5d4c\u5408\u6001\u5bf9\u632f\u5b50\u9891\u7387\u4e0d\u5339\u914d\u7684\u9c81\u68d2\u6027\u3002\u7814\u7a76\u8868\u660e\uff0c\u4e0e\u5168\u540c\u8026\u5408\u7cfb\u7edf\u7684\u60c5\u51b5\u76f8\u6bd4\uff0c\u5728\u975e\u5168\u540c\u7cfb\u7edf\u7684\u60c5\u51b5\u4e0b\uff0c\u5d4c\u5408\u6001\u4f1a\u5728\u8026\u5408\u5f3a\u5ea6\u53d6\u66f4\u9ad8\u7684\u503c\u65f6\u8fdb\u5165\u5b8c\u5168\u540c\u6b65\u72b6\u6001\u3002\u6b64\u5916\uff0c\u89c2\u5bdf\u5230\u7684\u5d4c\u5408\u6001\u5927\u591a\u662f\u975e\u7a33\u5b9a\u7684\u3002<\/span><\/section>\n
     <\/span><\/section>\n
    Maistrenko\u7b49\u4eba[13]\u62a5\u544a\u4e86\u5e26\u60ef\u6027\u7684\u8026\u5408\u76f8\u4f4d\u632f\u5b50\u4e2d\u87ba\u65cb\u6ce2\u5d4c\u5408\u6001\u7684\u8715\u53d8\u3002\u5f53\u8026\u5408\u53c2\u6570\u8fdb\u5165\u6240\u8c13\u7684\u5b64\u7acb\u533a\u57df<\/span>\uff08solitary region\uff09<\/span>\u65f6\uff0c\u7cfb\u7edf\u4f1a\u53d1\u751f\u5f02\u5e38\u884c\u4e3a\u3002\u5728\u8fd9\u4e2a\u8303\u56f4\u5185\uff0c\u5d4c\u5408\u6001\u7684\u87ba\u65cb\u6838\u5fc3\u80cc\u666f\u4e0a\u5b58\u5728\u5b64\u7acb\u7684\u632f\u5b50\uff0c\u5b83\u4eec\u5f00\u59cb\u4ee5\u4e0d\u540c\u7684\u65f6\u95f4\u5e73\u5747\u9891\u7387<\/span>\uff08Poincare\u7ed5\u6570\uff09<\/span>\u8fdb\u884c\u632f\u8361\u3002Ebrahimzadeh\u7b49\u4eba\u7684\u8bba\u6587[4]\u81f4\u529b\u4e8e\u7814\u7a76\u7531\u4e09\u4e2a\u5177\u6709\u76f8\u4f4d\u6ede\u540e\u7684\u5168\u8026\u5408\u8282\u62cd\u5668\u7ec4\u6210\u7684\u6700\u5c0f\u7f51\u7edc\u4e2d\u7684\u5d4c\u5408\u6001\u3002\u7406\u8bba\u7814\u7a76\u5f97\u5230\u4e86\u5b9e\u9a8c\u5ba4\u5b9e\u9a8c\u7684\u652f\u6301\u3002\u5d4c\u5408\u6001\u8868\u73b0\u4e3a\u4e24\u4e2a\u540c\u6b65\u632f\u5b50\u548c\u4e00\u4e2a\u975e\u540c\u6b65\u632f\u5b50\u4e4b\u95f4\u7684\u5e73\u5747\u9891\u7387\u4e0d\u5339\u914d\u3002Semenova[11]\u7814\u7a76\u4e86\u4e00\u4e2a\u5e26\u6709\u566a\u58f0\u7684\u975e\u5c40\u57df\u8026\u5408\u7684\u53ef\u6fc0\u53d1FitzHugh-Nagumo\u7cfb\u7edf\u7684\u7cfb\u7efc\u3002\u5728\u7cfb\u7edf\u4e2d\u52a0\u5165\u566a\u58f0\u540e\u4f1a\u5bfc\u81f4\u51fa\u73b0\u79f0\u4e3a\u76f8\u5e72-\u5171\u632f\u5d4c\u5408\u7684\u5d4c\u5408\u6001\u3002\u8fd9\u662f\u9996\u6b21\u5728\u53ef\u6fc0\u53d1\u7cfb\u7edf\u4e2d\u89c2\u5bdf\u5230\u8fd9\u79cd\u73b0\u8c61\u3002Varshney\u7b49\u4eba\u7684\u6587\u7ae0[12]\u4e13\u95e8\u8ba8\u8bba\u4e86\u53c2\u6570\u968f\u65f6\u95f4\u7f13\u6162\u53d8\u5316\u7684\u9a71\u52a8FitzHugh-Nagumo\u632f\u5b50\u7f51\u7edc\u4e2d\u7684\u7c7b\u5d4c\u5408\u6001\u3002\u5728\u5206\u5c94\u70b9\u9644\u8fd1\uff0c\u5b83\u4f1a\u5bfc\u81f4\u6162\u901a\u9053\u6548\u5e94\u548c\u5206\u5c94\u4e2d\u7684\u65f6\u95f4\u5ef6\u8fdf\u3002\u6b64\u5916\uff0c\u5f53\u8026\u5408\u7684\u5bf9\u79f0\u6027\u88ab\u6253\u7834\u65f6<\/span>\uff08\u5171\u8f6d\u8026\u5408\uff09<\/span>\uff0c\u4eba\u4eec\u4f1a\u89c2\u5bdf\u5230\u7c7b\u5d4c\u5408\u6001\u7684\u7ed3\u6784\u51fa\u73b0\u3002<\/span><\/section>\n
     <\/span><\/section>\n
    \u4e0e\u4e4b\u524d\u8ba8\u8bba\u7684\u8bba\u6587\u4e0d\u540c\uff0cOuannas\u7b49\u4eba[9]\u7814\u7a76\u4e86\u7531 Henon-Lozi \u578b\u6620\u5c04\u7684\u5206\u6570\u5f62\u5f0f\u7ed9\u51fa\u7684\u79bb\u6563\u65f6\u95f4\u7cfb\u7edf\u7684\u52a8\u529b\u5b66\u3002\u4f5c\u8005\u8868\u660e\uff0c\u6240\u5206\u6790\u6620\u5c04\u7684\u4e00\u822c\u884c\u4e3a\u53d6\u51b3\u4e8e\u5206\u6570\u9636<\/span>\uff08fractional-order\uff09<\/span>\uff0c\u5e76\u4e14\u4ed6\u4eec\u5f15\u5165\u4e86\u63a7\u5236\u6cd5\u5219\u6765\u7a33\u5b9a\u7cfb\u7edf\u7684\u72b6\u6001\u3002<\/span><\/section>\n
     <\/span><\/section>\n
    \u603b\u4e4b\uff0c\u8fd9\u671f\u7279\u520a\u4f53\u73b0\u4e86\u76ee\u524d\u5bf9\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u3001\u7f51\u7edc\u7406\u8bba\u548c\u4e13\u6ce8\u4e8e\u7269\u7406\u548c\u5de5\u7a0b\u5e94\u7528\u7684\u590d\u6742\u7cfb\u7edf\u7684\u5e7f\u6cdb\u7814\u7a76\u3002\u6211\u4eec\u5e0c\u671b\u8fd9\u4e2a\u8bba\u6587\u96c6\u80fd\u53cd\u6620\u51fa\u8be5\u9886\u57df\u76ee\u524d\u7814\u7a76\u65b9\u5411\u7684\u591a\u6837\u6027\uff0c\u5e76\u5e0c\u671b\u5bf9\u6700\u65b0\u8fdb\u5c55\u7684\u6c47\u7f16\u786e\u5b9e\u662f\u53ca\u65f6\u7684\u3002\u6211\u4eec\u8981\u611f\u8c22\u6240\u6709\u6295\u7a3f\u7684\u4f5c\u8005\uff0c\u611f\u8c22\u4ed6\u4eec\u63d0\u4ea4\u7684\u6587\u7ae0\u3002\u7531\u4e8e\u672c\u7248\u4e5f\u662fTomasz Kapitaniak 60\u5c81\u751f\u65e5\u7684\u7eaa\u5ff5\u6587\u96c6\uff0c\u6240\u4ee5\u6295\u7a3f\u4eba\u7684\u5708\u5b50\u91cc\u5305\u62ec\u4e00\u4e9b\u76ee\u524d\u5728\u5168\u4e16\u754c\u4e0d\u540c\u56fd\u5bb6\u5de5\u4f5c\u7684Tomasz \u7684\u957f\u671f\u5408\u4f5c\u8005\uff0c\u800c\u4e14\u8bb8\u591a\u6295\u7a3f\u4eba\u76f4\u63a5\u63d0\u5230\u4e86 Tomasz \u7684\u6210\u679c\u3002<\/span><\/section>\n
     <\/span><\/section>\n
    Tomasz\uff0c\u751f\u65e5\u5feb\u4e50\uff01<\/span><\/section>\n
     <\/span><\/section>\n
    \u53c2\u8003\u6587\u732e\uff1a<\/span><\/strong><\/span><\/section>\n
      \n
    1. \n

      M. Balcerzak, A. Chudzik, A. Stefanski, Eur. Phys. J. Special Topics 229, 2151 (2020)<\/span><\/p>\n<\/li>\n

    2. \n

      M. Balcerzak, T. Sagan, A. Dabrowski, A. Stefanski, Eur. Phys. J. Special Topics 229, 2167 (2020)<\/span><\/p>\n<\/li>\n

    3. \n

      R. Berner, A. Polanska, E. Scho \u0308ll, S. Yanchuk, Eur. Phys. J. Special Topics 229, 2183 (2020)<\/span><\/p>\n<\/li>\n

    4. \n

      P. Ebrahimzadeh, M. Schiek, P. Jaros, T. Kapitaniak, S. van Waasen, Y. Maistrenko, Eur. Phys. J. Special Topics 229, 2205 (2020)<\/span><\/p>\n<\/li>\n

    5. \n

      I.A. Korneev, A.V. Slepnev, V.V. Semenov, T.E. Vadivasova, Eur. Phys. J. Special Topics 229, 2215 (2020)<\/span><\/p>\n<\/li>\n

    6. \n

      M. Lazarek, J. Grabski, P. Perlikowski, Eur. Phys. J. Special Topics 229, 2225 (2020)<\/span><\/p>\n<\/li>\n

    7. \n

      H. Lu, F. Parastesh, A. Dabrowski, H. Azarnoush, S. Jafari, Eur. Phys. J. Special Topics 229, 2239 (2020)<\/span><\/p>\n<\/li>\n

    8. \n

      L. Borkowski, A. Stefanski, Eur. Phys. J. Special Topics 229, 2249 (2020)<\/span><\/p>\n<\/li>\n

    9. \n

      A. Ouannas, A.-A. Khennaoui, X. Wang, V.-T. Pham, S. Boulaaras, S. Momani, Eur. Phys. J. Special Topics 229, 2261 (2020)<\/span><\/p>\n<\/li>\n

    10. \n

      L. Pei, H. Jia, Eur. Phys. J. Special Topics 229, 2275 (2020)<\/span><\/p>\n<\/li>\n

    11. \n

      N. Semenova, Eur. Phys. J. Special Topics 229, 2295 (2020)<\/span><\/p>\n<\/li>\n

    12. \n

      V. Varshney, S. Kumarasamy, B. Biswal, A. Prasad, Eur. Phys. J. Special Topics 229 2307, (2020)<\/span><\/p>\n<\/li>\n

    13. \n

      V. Maistrenko, O. Sudakov, Y. Maistrenko, Eur. Phys. J. Special Topics 229, 2327 (2020)<\/span><\/p>\n<\/li>\n

    14. \n

      Z. Wang, H.R. Abdolmohammadi, M. Chen, A. Chudzik, S. Jafari, I. Hussain, Eur. Phys. J. Special Topics 229, 2341 (2020)<\/span><\/p>\n<\/li>\n<\/ol>\n

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      1. \u5149\u6ed1\u4e0e\u975e\u5149\u6ed1\u632f\u5b50\u7684\u5e7f\u4e49\u540c\u6b65\u6027\u8d28<\/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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      <\/span>
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      \n
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      \n

      \u8bba\u6587\u9898\u76ee\uff1a<\/span><\/p>\n

      Properties of generalized synchronization in smooth and non-smooth identical oscillators<\/span><\/p>\n

      \u8bba\u6587\u94fe\u63a5\uff1a<\/span><\/p>\n

      https:\/\/link.springer.com\/article\/10.1140\/epjst\/e2020-000010-5<\/span><\/p>\n<\/section>\n<\/section>\n<\/blockquote>\n


      <\/p>\n<\/section>\n

      \u672c\u6587\u4ec5\u5728\u5168\u540c\u6fc0\u53d1\u5668\u548c\u63a5\u6536\u5668\u4e4b\u95f4\u5355\u5411\u8fde\u63a5\u7684\u60c5\u51b5\u4e0b\u8ba8\u8bba\u5e7f\u4e49\u540c\u6b65<\/span>\uff08generalized synchronization\uff0cGS\uff09<\/span>\u73b0\u8c61\u3002\u7279\u522b\u5173\u6ce8\u7684\u662f\u8026\u5408\u7684\u975e\u5149\u6ed1Chua\u7535\u8def\u4e2d\u7684GS\u7279\u6027\u3002\u5728\u5b58\u5728\u8f7b\u5fae\u53c2\u6570\u4e0d\u5339\u914d\u7684\u60c5\u51b5\u4e0b\uff0c\u6587\u7ae0\u5bf9\u540c\u6b65\u72b6\u6001\u7684\u9c81\u68d2\u6027\u8fdb\u884c\u4e86\u5206\u6790\u3002\u5206\u6790\u5de5\u5177\u662f\u6a2a\u5411\u548c\u54cd\u5e94\u674e\u4e9a\u666e\u8bfa\u592b\u6307\u6570\u4ee5\u53ca\u5438\u5f15\u5b50\u7684\u5206\u5f62\u7ef4\u5ea6\u3002\u8fd9\u4e9b\u7814\u7a76\u663e\u793a\u4e86\u5e73\u6ed1<\/span>\uff08Lorenz\u7cfb\u7edf\uff09<\/span>\u548c\u975e\u5e73\u6ed1<\/span>\uff08Chua\u7535\u8def\uff09<\/span>\u632f\u5b50\u4e4b\u95f4\u540c\u6b65\u72b6\u6001\u7a33\u5b9a\u6027\u7684\u5dee\u5f02\u3002<\/span><\/section>\n
       <\/span><\/section>\n
      <\/section>\n
      \u56fe1. \u5171\u540c\u9a71\u52a8\u2014\u2014\u5177\u6709\u5355\u5411\u8026\u5408\u7684\u661f\u5f62\u7ed3\u6784\u3002<\/span><\/section>\n

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      \n
      <\/svg><\/section>\n<\/section>\n<\/section>\n
      \n

      2. \u4e0d\u8fde\u7eed\u7cfb\u7edf\u4e2d<\/strong><\/strong><\/p>\n

      \u5feb\u901f\u800c\u7b80\u5355\u7684\u674e\u4e9a\u666e\u8bfa\u592b\u6307\u6570\u4f30\u8ba1<\/strong><\/strong><\/p>\n<\/section>\n

      \n

      <\/section>\n

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


      <\/p>\n

      \n
      \n
      \n
      \u8bba\u6587\u9898\u76ee\uff1a<\/span><\/section>\n
      Fast and simple Lyapunov Exponents estimation in discontinuous systems<\/span><\/section>\n
      \u8bba\u6587\u94fe\u63a5\uff1a<\/span><\/span><\/section>\n
      <\/span>https:\/\/link.springer.com\/article\/10.1140\/epjst\/e2020-900275-x<\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n

      <\/section>\n
      \u901a\u5e38\uff0c\u4e3a\u4e86\u4f30\u8ba1n\u4e2a\u674e\u4e9a\u666e\u8bfa\u592b\u6307\u6570\u7684\u6574\u4e2a\u9891\u8c31\uff0c\u9700\u8981\u5bf9n\u4e2a\u6270\u52a8\u8fdb\u884c\u79ef\u5206\u5e76\u5c06\u5176\u6b63\u4ea4\u5316\u3002\u6700\u8fd1\u6709\u7814\u7a76\u8868\u660e\uff0c\u5bf9\u4e8e\u5e73\u6ed1\u7cfb\u7edf\uff0c\u8ba1\u7b97\u7684\u590d\u6742\u6027\u53ef\u4ee5\u964d\u4f4e\uff1a\u6574\u5408\uff08n-1\uff09\u4e2a\u6270\u52a8\u5c31\u8db3\u591f\u4e86\u3002\u5728\u672c\u6587\u4e2d\uff0c\u4f5c\u8005\u5c55\u793a\u4e86\u8fd9\u79cd\u7b80\u5316\u65b9\u6cd5\u5982\u4f55\u88ab\u7528\u4e8e\u975e\u5149\u6ed1\u6216\u4e0d\u8fde\u7eed\u7cfb\u7edf\u3002\u9664\u4e86\u964d\u4f4e\u590d\u6742\u6027\u4e4b\u5916\uff0c\u6240\u63d0\u51fa\u7684\u65b9\u6cd5\u7684\u4f18\u70b9\u662f\u7b80\u5355\u4e14\u6613\u4e8e\u5b9e\u65bd\u3002\u672c\u6587\u9996\u5148\u7b80\u8981\u56de\u987e\u4e86\u5149\u6ed1\u548c\u975e\u5149\u6ed1\u7cfb\u7edf\u4e2d\u674e\u4e9a\u666e\u8bfa\u592b\u6307\u6570\u7684\u7279\u6027\u548c\u4f30\u8ba1\u65b9\u6cd5\uff1b\u7136\u540e\u7b80\u8981\u4ecb\u7ecd\u4e86\u5e73\u6ed1\u7cfb\u7edf\u7684\u964d\u4f4e\u590d\u6742\u5ea6\u7684\u7b97\u6cd5\uff0c\u8be6\u7ec6\u63cf\u8ff0\u4e86\u5b83\u5bf9\u975e\u5149\u6ed1\u7cfb\u7edf\u7684\u9002\u5e94\u6027\uff0c\u5e76\u4ecb\u7ecd\u4e86\u8be5\u65b9\u6cd5\u5728\u78b0\u649e\u632f\u5b50<\/span>\uff08impact oscillator\uff09<\/span>\u4e2d\u7684\u5e94\u7528\u3002\u6587\u7ae0\u5bf9\u65b0\u7b97\u6cd5\u7684\u5b9e\u73b0\u8fdb\u884c\u4e86\u5168\u9762\u7684\u89e3\u91ca\uff0c\u5c55\u793a\u5e76\u9a8c\u8bc1\u4e86\u6a21\u62df\u7684\u7ed3\u679c\u3002\u4f5c\u8005\u9884\u8ba1\u6240\u63d0\u51fa\u7684\u65b9\u6cd5\u53ef\u4ee5\u7b80\u5316\u975e\u5149\u6ed1\u52a8\u529b\u7cfb\u7edf\u7684\u7814\u7a76\uff0c\u5e76\u5bf9\u8be5\u9886\u57df\u7684\u7814\u7a76\u63d0\u4f9b\u652f\u6301\u3002<\/span><\/section>\n
       <\/span><\/section>\n
      <\/section>\n
      \u56fe2. \u7cfb\u7edf\u7684\u5206\u5c94\u56fe\u548c\u674e\u4e9a\u666e\u8bfa\u592b\u6307\u6570\u8c31<\/span><\/section>\n
       <\/span><\/section>\n


      <\/p>\n

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

      <\/section>\n
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      <\/svg><\/section>\n<\/section>\n<\/section>\n
      \n

      3. \u81ea\u9002\u5e94\u975e\u5c40\u57df\u632f\u5b50\u7f51\u7edc\u4e2d\u7684\u5b64\u7acb\u72b6\u6001<\/strong><\/strong><\/p>\n<\/section>\n

      \n

      <\/section>\n

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


      <\/p>\n

      \n
      \n
      \n
      \u8bba\u6587\u9898\u76ee\uff1a<\/span><\/section>\n
      Solitary states in adaptive nonlocal oscillator networks<\/span><\/section>\n
      \u8bba\u6587\u94fe\u63a5\uff1a<\/span><\/section>\n
      https:\/\/link.springer.com\/article\/10.1140\/epjst\/e2020-900253-0<\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n

      <\/section>\n
      \u5728\u8fd9\u7bc7\u6587\u7ae0\u4e2d\uff0c\u4f5c\u8005\u5206\u6790\u4e86\u4e00\u4e2a\u7531\u81ea\u9002\u5e94\u8026\u5408\u76f8\u4f4d\u632f\u5b50\u7ec4\u6210\u7684\u975e\u5c40\u57df\u73af\u7f51\u7edc\u3002\u4f5c\u8005\u89c2\u5bdf\u5230\u5404\u79cd\u9891\u7387\u540c\u6b65\u7684\u72b6\u6001\uff0c\u5982\u9501\u76f8\u3001\u591a\u7c07\u548c\u5b64\u7acb\u72b6\u6001\u3002\u5bf9\u4e8e\u9501\u76f8\u89e3\u7684\u4e00\u4e2a\u91cd\u8981\u5b50\u7c7b\uff0c\u5373\u65cb\u8f6c\u6ce2\uff0c\u4ed6\u4eec\u63d0\u4f9b\u4e86\u4e00\u4e2a\u4e25\u683c\u7684\u7a33\u5b9a\u6027\u5206\u6790\u3002\u8be5\u5206\u6790\u8868\u660e\uff0c\u5b83\u4eec\u7684\u7a33\u5b9a\u6027\u4e0e\u8026\u5408\u7ed3\u6784\u548c\u6ce2\u6570\u6709\u5f88\u5927\u7684\u5173\u7cfb\uff0c\u8fd9\u4e0e\u5168\u8026\u5408\u7f51\u7edc\u6709\u663e\u8457\u7684\u533a\u522b\u3002\u5c3d\u7ba1\u5728\u5927\u91cf\u7684\u52a8\u529b\u7cfb\u7edf\u4e2d\u5df2\u7ecf\u89c2\u5bdf\u5230\u4e86\u5b64\u7acb\u72b6\u6001\uff0c\u4f46\u6587\u732e\u4e2d\u57fa\u672c\u4e0a\u6ca1\u6709\u6d89\u53ca\u5230\u5b83\u4eec\u51fa\u73b0\u7684\u673a\u5236\u3002\u5728\u8fd9\u91cc\uff0c\u4f5c\u8005\u5c55\u793a\u4e86\u5b64\u7acb\u72b6\u6001\u662f\u5982\u4f55\u7531\u4e8e\u7f51\u7edc\u7684\u81ea\u9002\u5e94\u7279\u5f81\u800c\u51fa\u73b0\u7684\uff0c\u5e76\u5bf9\u8fd9\u4e9b\u72b6\u6001\u7684\u4ea7\u751f\u548c\u7a33\u5b9a\u7684\u51e0\u79cd\u5206\u5c94\u60c5\u51b5\u8fdb\u884c\u4e86\u5206\u7c7b\u3002<\/span><\/section>\n
       <\/span><\/section>\n
      <\/section>\n

      \u56fe3. \u5b64\u7acb\u72b6\u6001\u7684\u793a\u610f\u56fe\u3002\u56fe\uff08A,D\uff09\u8868\u793a\u8026\u5408\u77e9\u9635\uff0c\uff08B,E\uff09\u8868\u793a\u76f8\u4f4d\uff0c\uff08C,F\uff09\u8868\u793a\u5e73\u5747\u9891\u7387\u3002(A-C)\uff1a\u03b1=0.1\u03c0, \u03b2=-0.3\u03c0 \u7684\u5355\u4e00\u5b64\u7acb\u72b6\u6001\uff1b(D-F)\uff1a\u03b1=0.15\u03c0, \u03b2=-0.41\u03c0 \u7684\u4e09\u4e2a\u672a\u8026\u5408\u5b64\u7acb\u72b6\u6001\u3002\uff08\u53c2\u6570\uff1aN=100\uff0cP=20\uff0c\u03b5=0.01\uff09<\/span><\/p>\n

       <\/span><\/section>\n
       <\/span><\/section>\n

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

      <\/section>\n
      \n
      <\/svg><\/section>\n<\/section>\n<\/section>\n
      \n

      4. \u76f8\u4f4d\u6ede\u540e\u8026\u5408\u673a\u68b0\u632f\u5b50\u4e2d\u7684\u6700\u5c0f\u5d4c\u5408\u6001<\/strong><\/strong><\/p>\n<\/section>\n

      \n

      <\/section>\n

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


      <\/p>\n

      \n
      \n
      \n
      \u8bba\u6587\u9898\u76ee\uff1a<\/span><\/section>\n
      Minimal chimera states in phase-lag coupled mechanical oscillators<\/span><\/section>\n
      \u8bba\u6587\u94fe\u63a5\uff1a<\/span><\/section>\n
      https:\/\/link.springer.com\/article\/10.1140\/epjst\/e2020-900270-4<\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n
       <\/span>
      <\/section>\n
      \u4f5c\u8005\u901a\u8fc7\u5f15\u5165\u76f8\u4f4d\u6ede\u540e\u7684\u5168\u8026\u5408\uff0c\u5728\u4e09\u4e2a\u76f8\u540c\u673a\u68b0\u632f\u5b50<\/span>\uff08\u8282\u62cd\u5668\uff09<\/span>\u7684\u6700\u5c0f\u7f51\u7edc\u4e2d\u83b7\u5f97\u5b9e\u9a8c\u5d4c\u5408\u6001\u3002\u4e3a\u6b64\uff0c\u4ed6\u4eec\u5f00\u53d1\u4e86\u4e00\u79cd\u5b9e\u65f6\u7684\u6a21\u578b\u5728\u73af<\/span>\uff08model-in-the-loop\uff09<\/span>\u8026\u5408\u673a\u5236 \uff0c\u5141\u8bb8\u7075\u6d3b\u548c\u5728\u7ebf\u5730\u6539\u53d8\u8026\u5408\u62d3\u6251\u7ed3\u6784\u3001\u5f3a\u5ea6\u548c\u76f8\u4f4d\u6ede\u540e\u3002\u5d4c\u5408\u6001\u8868\u73b0\u4e3a\u4e24\u4e2a\u540c\u6b65\u632f\u5b50\u548c\u4e00\u4e2a\u975e\u540c\u6b65\u632f\u5b50\u4e4b\u95f4\u7684\u5e73\u5747\u9891\u7387\u4e0d\u5339\u914d\u3002\u6211\u4eec\u53d1\u73b0\u8fd9\u79cd\u5f15\u4eba\u6ce8\u76ee\u7684 “\u5d4c\u5408 “\u884c\u4e3a\u5728\u4e00\u4e2a\u5e7f\u6cdb\u7684\u53c2\u6570\u533a\u57df\u5185\u662f\u9c81\u68d2\u7684\u3002\u7136\u800c\uff0c\u5728\u5176\u4ed6\u53c2\u6570\u4e0b\uff0c\u5d4c\u5408\u6001\u4f1a\u5931\u53bb\u7a33\u5b9a\u6027\uff0c\u7cfb\u7edf\u884c\u4e3a\u8868\u73b0\u4e3a\u4e09\u4e2a\u9a6c\u978d\u578b\u5d4c\u5408\u6001\u4e4b\u95f4\u7684\u5f02\u8f74\u5207\u6362<\/span>\uff08heteroclinic switching\uff09<\/span>\u3002\u5b9e\u9a8c\u89c2\u5bdf\u4e0e\u6a21\u578b\u6a21\u62df\u5728\u6027\u8d28\u4e0a\u4e00\u81f4\u3002<\/span><\/section>\n
       <\/span><\/section>\n
      <\/section>\n

      \u56fe4. \u5b9e\u9a8c\u88c5\u7f6e\u914d\u7f6e\u3002\u4e09\u4e2a\u8282\u62cd\u5668\u90fd\u914d\u5907\u4e86\u4e00\u4e2a\u78c1\u4f20\u611f\u5668\u9635\u5217\uff08\u970d\u5c14\u4f20\u611f\u5668\uff0cA\uff09\uff0c\u7528\u4e8e\u975e\u63a5\u89e6\u6d4b\u91cf\u6746\u7684\u4f4d\u7f6e\uff0c\u4e24\u4e2a\u7ebf\u5708\uff08B\uff09\u7528\u4e8e\u5bf9\u914d\u91cd\u65bd\u52a0\u78c1\u529b\u3002\u4e3a\u4e86\u589e\u52a0\u78c1\u4fe1\u53f7\u548c\u78c1\u529b\uff0c\u5728\u6746\u5b50\u548c\u914d\u91cd\u4e0a\u5b89\u88c5\u4e86\u9495\u78c1\u94c1\uff08C\uff09\u3002\u970d\u5c14\u4f20\u611f\u5668\u4fe1\u53f7\uff08\u865a\u7ebf\uff09\u5728ADC\u5355\u5143\u4e2d\u88ab\u6570\u5b57\u5316\u3002\u5728\u5b9e\u65f6\u5904\u7406\u5355\u5143\uff08D\uff09\uff0c\u6839\u636eADC\u6570\u636e\u91cd\u5efa\u6240\u6709\u8282\u62cd\u5668\u7684\u89d2\u5ea6\uff0c\u5e76\u8ba1\u7b97\u8026\u5408\u9879\u3002\u5728DAC\u5355\u5143\uff0c\u8026\u5408\u9879\u88ab\u8f6c\u6362\u4e3a\u901a\u8fc7\u7ebf\u5708\u5e76\u4ea7\u751f\u78c1\u529b\u7684\u7535\u6d41\uff08\u68d5\u8272\u5b9e\u7ebf\uff09\u3002<\/span><\/p>\n

       <\/span><\/section>\n

      <\/section>\n

      \n
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      <\/section>\n

      <\/section>\n
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      <\/svg><\/section>\n<\/section>\n<\/section>\n
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      5. \u5177\u6709\u5e73\u8861\u7ebf\u7684\u632f\u5b50\u7684\u53d7\u8feb\u540c\u6b65<\/strong><\/strong><\/p>\n<\/section>\n

      \n

      <\/section>\n

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


      <\/p>\n

      \n
      \n
      \n
      \u8bba\u6587\u9898\u76ee\uff1a<\/span><\/section>\n
      Forced synchronization of an oscillator with a line of equilibria<\/span><\/section>\n
      \u8bba\u6587\u94fe\u63a5\uff1a<\/span><\/section>\n
      https:\/\/link.springer.com\/article\/10.1140\/epjst\/e2020-900146-9<\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n

       <\/span><\/p>\n

      \u4f5c\u8005\u7814\u7a76\u4e86\u5177\u6709\u5e73\u8861\u7ebf\u7684\u975e\u81ea\u4e3b\u7684\u57fa\u4e8e\u5fc6\u963b\u5668\u7684\u632f\u5b50\u6a21\u578b\u3002\u4e00\u4e2a\u7531\u5468\u671f\u6027\u529b\u9a71\u52a8\u7684\u7cfb\u7edf\u7684\u6570\u503c\u6a21\u62df\u4e0e\u901a\u8fc7\u51c6\u8c10\u6ce2\u7ea6\u5316\u8fdb\u884c\u7684\u7406\u8bba\u5206\u6790\u76f8\u7ed3\u5408\u3002\u6587\u4e2d\u5c55\u793a\u4e86\u76f8\u4f4d\u548c\u9891\u7387\u9501\u5b9a\u4ee5\u53ca\u5916\u90e8\u4fe1\u53f7\u6291\u5236\u4e24\u79cd\u540c\u6b65\u673a\u5236\u3002\u7531\u4e8e\u6709\u53ef\u80fd\u89c2\u5bdf\u5230\u540c\u4e00\u7cfb\u7edf\u5728\u6709\u5916\u90e8\u5f71\u54cd\u60c5\u51b5\u4e0b\u7684\u9891\u7387\u2014\u2014\u76f8\u4f4d\u9501\u5b9a\u7684\u6548\u679c\uff0c\u4f5c\u8005\u5c06\u5177\u6709\u5e73\u8861\u7ebf\u7684\u81ea\u4e3b\u7cfb\u7edf\u4e2d\u7684\u65e0\u963b\u5c3c\u632f\u8361\u5f52\u4e3a\u4e00\u79cd\u7279\u6b8a\u7684\u81ea\u6301\u632f\u8361\u3002\u7814\u7a76\u8bc1\u5b9e\uff0c\u5728\u6240\u8003\u8651\u7684\u7cfb\u7edf\u4e2d\uff0c\u76f8\u4f4d\u9501\u5b9a\u7684\u53d1\u751f\u4e00\u76f4\u53d6\u51b3\u4e8e\u53c2\u6570\u503c\u548c\u521d\u59cb\u6761\u4ef6\u3002\u540c\u6b65\u533a\u8fb9\u754c\u5bf9\u521d\u59cb\u6761\u4ef6\u548c\u53c2\u6570\u503c\u7684\u540c\u65f6\u4f9d\u8d56\u6027\u4e5f\u88ab\u8bc1\u660e\u3002<\/span><\/section>\n
       <\/span><\/section>\n
      <\/section>\n

      \u56fe5. (a) \u6a21\u578b\u7684\u7535\u8def\u793a\u610f\u56fe\uff1b(b)\u53c2\u6570\u503c \u03b1=\u03b3=1\uff0c\u03b2=0.035\uff0ca=0.02\uff0cb=0.8 \u7684\u81ea\u4e3b(F(t)\u22610)\u7cfb\u7edf\u7684\u5438\u5f15\u5b50\u3002\u7ea2\u8272\u66f2\u9762\u6807\u5fd7\u7740\u4e00\u7ec4\u8fde\u7eed\u7684\u4e0d\u53d8\u95ed\u5408\u66f2\u7ebf\uff08\u5176\u4e2d\u4e00\u6761\u7528\u84dd\u8272\u6807\u51fa\uff09\uff0c\u7eff\u8272\u5b9e\u7ebf\u662f\u5e73\u8861\u7ebf\u7684\u5438\u5f15\u6d41\u5f62\uff0c\u7eff\u8272\u865a\u7ebf\u662f\u5e73\u8861\u7ebf\u7684\u6392\u65a5\u6d41\u5f62\u3002<\/span><\/p>\n

       <\/span><\/section>\n
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      6. \u6469\u6258\u8f66\u7684\u4fef\u4ef0\u89d2\u503c\u7684\u63a8\u5bfc<\/strong><\/strong><\/p>\n<\/section>\n

      \n

      <\/section>\n

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


      <\/p>\n

      \n
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      \u8bba\u6587\u9898\u76ee\uff1a<\/span><\/section>\n
      Derivation of a pitch angle value for the motorcycle<\/span><\/section>\n
      \u8bba\u6587\u94fe\u63a5\uff1a<\/span><\/section>\n
      https:\/\/link.springer.com\/article\/10.1140\/epjst\/e2020-900278-4<\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n

      <\/section>\n<\/section>\n
      \u5728\u672c\u6587\u4e2d\uff0c\u7814\u7a76\u4eba\u5458\u8003\u8651\u4e86\u4e00\u4e2a\u65b0\u7684\u3001\u9ad8\u5ea6\u7cbe\u786e\u7684\u6469\u6258\u8f66\u8fd0\u52a8\u5b66\u6a21\u578b\u3002\u4ed6\u4eec\u63d0\u51fa\u4e86\u4e00\u79cd\u8fed\u4ee3\u65b9\u6cd5\uff0c\u80fd\u591f\u8ba1\u7b97\u51fa\u524d\u8f6e\u8f6e\u80ce\u4e0e\u5730\u9762\u63a5\u89e6\u70b9\u7684\u6b63\u786e\u4fef\u4ef0\u89d2\u503c\u548c\u4f4d\u7f6e\u3002\u4f5c\u8005\u4eec\u8003\u8651\u4e86\u5177\u6709\u548c\u4e0d\u5177\u6709\u524d\u53c9\u4fa7\u5411\u7075\u6d3b\u6027\u7684\u7cfb\u7edf\uff0c\u63ed\u793a\u4e86\u4e0e\u521a\u6027\u7cfb\u7edf\u76f8\u6bd4\uff0c\u5177\u6709\u6709\u9650\u4fa7\u5411\u521a\u5ea6\u7684\u7cfb\u7edf\u5728\u673a\u52a8\u8fc7\u7a0b\u4e2d\u7684\u4e0d\u540c\u884c\u4e3a\u3002\u7814\u7a76\u8bc1\u660e\u4e86\u7ffb\u8f66\u72b6\u6001\u548c\u98a0\u7c38\u884c\u4e3a\u4e4b\u95f4\u7684\u76f8\u5173\u6027\u3002\u7ed3\u679c\u8868\u660e\uff0c\u6240\u63d0\u51fa\u7684\u7b97\u6cd5\u53ef\u4ee5\u5e94\u7528\u4e8e\u7535\u5b50\u63a7\u5236\u5355\u5143\u4ee5\u9632\u6b62\u524d\u8f6e\u79bb\u5730\u7684\u884c\u4e3a\u3002<\/span><\/section>\n
       <\/span><\/section>\n
      <\/section>\n

      \u56fe6. \u6469\u6258\u8f66\u6a21\u578b\u7684\u4e24\u4e2a\u4e0d\u540c\u89c6\u89d2\u3002\u5728\u56fe\uff08a\uff09\u4e2d\uff0c\u5c55\u793a\u4e86\u5e73\u9762P1\u3001P2\u548cPg\uff0c\u800c\u5728\u56fe\uff08b\uff09\u4e2d\uff0c\u5c55\u793a\u4e86\u6a21\u578b\u4e2d\u4f7f\u7528\u7684\u5750\u6807\u548c\u89d2\u5ea6\u7cfb\u7edf\u3002<\/span><\/p>\n

       <\/span><\/section>\n
       <\/span><\/section>\n

      \n
      \n
      \n
      \n
      \n

      <\/section>\n

      <\/section>\n
      \n
      <\/svg><\/section>\n<\/section>\n<\/section>\n
      \n

      7. \u975e\u5168\u540c\u8026\u5408\u7684\u8303\u5fb7\u6ce2\u5c14\u632f\u5b50\u7f51\u7edc\u4e2d\u7684<\/strong><\/strong><\/p>\n

      \u6269\u5c55\u975e\u7a33\u5b9a\u5d4c\u5408\u533a<\/strong><\/strong><\/p>\n<\/section>\n

      \n

      <\/section>\n

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


      <\/p>\n

      \n
      \n
      \n
      \u8bba\u6587\u9898\u76ee\uff1a<\/span><\/section>\n
      Extended non-stationary chimera-like region in a network of non-identical coupled Van der Pol\u2019s oscillators<\/span><\/section>\n
      \u8bba\u6587\u94fe\u63a5\uff1a<\/span><\/section>\n
      https:\/\/link.springer.com\/article\/10.1140\/epjst\/e2020-000002-0<\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n

      <\/section>\n
      \u5d4c\u5408\u6001\u662f\u7531\u76f8\u5e72\u548c\u4e0d\u76f8\u5e72\u7fa4\u7ec4\u6210\u7684\u8026\u5408\u632f\u5b50\u7684\u5947\u7279\u65f6\u7a7a\u6a21\u5f0f\u3002\u5728\u672c\u6587\u4e2d\uff0c\u4f5c\u8005\u7814\u7a76\u4e86\u4e00\u4e2a\u975e\u5168\u540c\u8026\u5408\u7684\u8303\u5fb7\u6ce2\u5c14\u632f\u5b50\u7f51\u7edc\uff0c\u5e76\u7814\u7a76\u4e86\u5d4c\u5408\u6001\u5bf9\u632f\u5b50\u9891\u7387\u4e0d\u5339\u914d\u7684\u9c81\u68d2\u6027\u3002\u5728\u4e0d\u540c\u7684\u4e0d\u5747\u5300\u6027\u6c34\u5e73\u4e0b\u5f97\u5230\u4e86\u4e0d\u540c\u7684\u8026\u5408\u5f3a\u5ea6\u548c\u8303\u56f4\u4e0b\u7684\u7f51\u7edc\u52a8\u6001\u884c\u4e3a\uff0c\u5e76\u7ed9\u51fa\u4e86\u76f8\u56fe\u3002\u636e\u89c2\u5bdf\uff0c\u53c2\u6570\u7684\u4e0d\u5747\u5300\u6027\u5bfc\u81f4\u5728\u8f83\u9ad8\u7684\u8026\u5408\u5f3a\u5ea6\u4e0b\u53d1\u751f\u540c\u6b65\uff0c\u5e76\u4f7f\u5d4c\u5408\u533a\u6269\u5927\u3002\u4e0e\u5168\u540c\u7f51\u7edc\u76f8\u6bd4\uff0c\u5728\u975e\u5168\u540c\u7f51\u7edc\u4e2d\uff0c\u5927\u91cf\u7684\u5d4c\u5408\u6001\u533a\u57df\u5c5e\u4e8e\u975e\u7a33\u5b9a\u5d4c\u5408\u6001\u3002<\/span><\/section>\n

      <\/span><\/section>\n
      <\/section>\n
       <\/span><\/section>\n
      \u56fe7. (a) \u8303\u5fb7\u6ce2\u5c14\u632f\u5b50\u7684\u5206\u5c94\u56fe\u3002(b) \u8303\u5fb7\u6ce2\u5c14\u632f\u5b50\u7684\u5438\u5f15\u5b50\u3002<\/span><\/section>\n
       <\/span><\/section>\n


      <\/p>\n

      \n
      \n
      \n
      \n
      \n

      <\/section>\n

      <\/section>\n
      \n
      <\/svg><\/section>\n<\/section>\n<\/section>\n
      \n

      8. \u8026\u5408\u675c\u82ac\u632f\u5b50\u73af\u4e2d\u76843-\u73af\u9762\u89e3\u7684\u7a33\u5b9a\u6027<\/strong><\/strong><\/p>\n<\/section>\n

      \n

      <\/section>\n

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


      <\/p>\n

      \n
      \n
      \n
      \u8bba\u6587\u9898\u76ee\uff1a<\/span><\/section>\n
      Stability of the 3-torus solution in a ring of coupled Duffing oscillators<\/span><\/section>\n
      \u8bba\u6587\u94fe\u63a5\uff1a<\/span><\/section>\n
      https:\/\/link.springer.com\/article\/10.1140\/epjst\/e2020-900276-4<\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n

      <\/section>\n
      \u4f5c\u8005\u5728\u5168\u540c\u8282\u70b9\u632f\u5b50\u7684\u6570\u503c\u6a21\u62df\u4e2d\u5206\u6790\u4e86\u5355\u5411\u8026\u5408\u7684\u5355\u9631\u675c\u82ac\u632f\u5b50\u73af\u7684\u52a8\u529b\u5b66\u7279\u6027\u3002\u7814\u7a76\u96c6\u4e2d\u4e8e\u8be5\u7cfb\u7edf\u4e2d\u7a33\u5b9a\u7684\u4e09\u7ef4\u73af\u9762\u5438\u5f15\u5b50\u7684\u5b58\u5728\u6027\u3002\u7814\u7a76\u8868\u660e\uff0c\u5728\u6240\u8003\u8651\u7684\u7cfb\u7edf\u7684\u5e7f\u6cdb\u53c2\u6570\u8303\u56f4\u5185\uff0c\u4e09\u9891\u51c6\u5468\u671f\u6027\u53ef\u4ee5\u662f\u9c81\u68d2\u7684\u3002\u4f5c\u4e3a\u5bf9\u8fd9\u79cd\u7a33\u5b9a\u6027\u7684\u89e3\u91ca\uff0c\u4f5c\u8005\u63d0\u51fa\u4e86\u5173\u4e8e\u4e24\u4e2a\u4ee5\u65e0\u7406\u6570\u9891\u7387\u4e3a\u7279\u5f81\u7684\u72ec\u7acb\u6548\u5e94\u5171\u5b58\u548c\u53e0\u52a0\u7684\u731c\u60f3\uff0c\u5373\u7ecf\u5178\u7684Newhouse\u3001Ruelle\u548cTakens\u60c5\u5f62\u548c\u65cb\u8f6c\u6ce2\u6d41\u3002<\/span><\/section>\n
       <\/span><\/section>\n
      <\/section>\n
       <\/span><\/section>\n
      \u56fe8. \u89e3\u91ca\u4e09\u7ef4\u73af\u9762\u9c81\u68d2\u7a33\u5b9a\u6027\u7684\u731c\u60f3\u56fe\u89e3\u3002<\/span><\/section>\n

      <\/span><\/section>\n

      <\/span><\/section>\n

      \n
      \n
      \n
      \n
      \n

      <\/section>\n

      <\/section>\n
      \n
      <\/svg><\/section>\n<\/section>\n<\/section>\n
      \n

      9.<\/strong><\/strong> <\/strong><\/strong>H\u00e9non-Lozi \u578b\u6620\u5c04\u7684\u5206\u6570\u5f62\u5f0f\u4e2d\u7684<\/strong><\/span><\/p>\n

      \u5206\u5c94\u548c\u6df7\u6c8c\u73b0\u8c61<\/strong><\/span><\/p>\n<\/section>\n

      \n

      <\/section>\n

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


      <\/p>\n

      \n
      \n
      \n
      \u8bba\u6587\u9898\u76ee\uff1a<\/span><\/section>\n
      Bifurcation and chaos in the fractional form of H\u00e9non-Lozi type map     <\/span><\/section>\n
      \u8bba\u6587\u94fe\u63a5\uff1a<\/span><\/section>\n
      https:\/\/link.springer.com\/article\/10.1140\/epjst\/e2020-900193-4<\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n

      <\/section>\n
      \u5728\u672c\u6587\u4e2d\uff0c\u4f5c\u8005\u5bf9 H\u00e9non-Lozi \u578b\u6620\u5c04\u7684\u5206\u6570\u5f62\u5f0f\u7279\u522b\u611f\u5174\u8da3\u3002\u5229\u7528\u79bb\u6563\u5206\u6570\u5fae\u79ef\u5206\uff0c\u4ed6\u4eec\u8bc1\u660e\uff0c\u6240\u63d0\u51fa\u7684\u5206\u6570\u9636\u6620\u5c04\u7684\u4e00\u822c\u884c\u4e3a\u53d6\u51b3\u4e8e\u5206\u6570\u9636\u3002\u901a\u8fc7\u5e94\u7528\u6570\u503c\u5de5\u5177\uff0c\u5982\u76f8\u4f4d\u56fe\u3001\u5206\u5c94\u56fe\u3001\u6700\u5927\u674e\u4e9a\u666e\u8bfa\u592b\u6307\u6570\u548c0-1\u68c0\u9a8c\uff0c\u7814\u7a76\u4e86\u65b0\u7684\u5e7f\u4e49\u6620\u5c04\u7684\u52a8\u529b\u5b66\u7279\u6027\u3002\u7ed3\u679c\u8868\u660e\uff0c\u5206\u6570\u9636 H\u00e9non-Lozi \u6620\u5c04\u8868\u73b0\u51fa\u4e00\u7cfb\u5217\u4e0d\u540c\u7684\u52a8\u529b\u5b66\u884c\u4e3a\uff0c\u5305\u62ec\u6df7\u6c8c\u548c\u5171\u5b58\u5438\u5f15\u5b50\u3002\u6b64\u5916\uff0c\u4e00\u4e2a\u7528\u4e8e\u7a33\u5b9a\u5206\u6570\u9636\u6620\u5c04\u7684\u72b6\u6001\u7684\u4e00\u7ef4\u63a7\u5236\u6cd5\u5219\u88ab\u63d0\u51fa\u3002\u4ed6\u4eec\u7ed9\u51fa\u4e86\u6570\u503c\u7ed3\u679c\u6765\u8bf4\u660e\u8fd9\u4e9b\u53d1\u73b0\u3002<\/span><\/section>\n
       <\/span><\/section>\n
      <\/section>\n

      \u56fe9. (a) H\u00e9non-Lozi \u6620\u5c04\u7684\u5206\u5c94\u56fe\u3002(b) \u03b1\u2208(1.51, 1.583) \u7684\u5206\u53c9\u56fe\u7684\u5c40\u90e8\u653e\u5927\u3002<\/span><\/p>\n


      <\/section>\n
       <\/span><\/section>\n

      \n
      \n
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      <\/section>\n

      <\/section>\n
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      <\/svg><\/section>\n<\/section>\n<\/section>\n
      \n

      10. \u5177<\/strong><\/strong>\u6709\u968f\u72b6\u6001\u53d8\u5316\u7684\u9a71\u52a8\u65f6\u95f4\u5ef6\u8fdf\u7684<\/strong><\/p>\n

      \u4e3b\u52a8\u63a7\u5236\u7cfb\u7edf\u7684\u52a8\u529b\u5b66\u548c\u63a7\u5236<\/strong><\/p>\n<\/section>\n

      \n

      <\/section>\n

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


      <\/p>\n

      \n
      \n
      \n
      \u8bba\u6587\u9898\u76ee\uff1a<\/span><\/section>\n
      Dynamics and control of the active control system with the state-dependent actuation time delay<\/span><\/section>\n
      \u8bba\u6587\u94fe\u63a5\uff1a<\/span><\/section>\n
      https:\/\/link.springer.com\/article\/10.1140\/epjst\/e2020-900148-9<\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n

      <\/section>\n
      \u672c\u6587\u7814\u7a76\u4e86\u4e00\u4e2a\u5177\u6709\u968f\u72b6\u6001\u53d8\u5316\u7684\u9a71\u52a8\u65f6\u95f4\u5ef6\u8fdf\u7684\u4e3b\u52a8\u63a7\u5236\u7cfb\u7edf\u6a21\u578b\u3002\u4f7f\u7528 Galerkin \u6295\u5f71\u65b9\u6cd5\u6765\u83b7\u5f97\u5176\u4f4e\u7ef4\u8fd1\u4f3c\u7cfb\u7edf\u3002\u4f5c\u8005\u8003\u8651\u4e86\u8be5\u4e3b\u52a8\u63a7\u5236\u7cfb\u7edf\u7684\u72b6\u6001\u4f9d\u8d56\u6027\u3001\u5bf9\u52a8\u529b\u5b66\u7684\u5f71\u54cd\u4ee5\u53ca\u9a71\u52a8\u5ef6\u8fdf\u7684\u8868\u73b0\uff0c\u5f97\u5230\u4e86\u4ee5\u4e0b\u7ed3\u679c\u3002\u9996\u5148\uff0c\u4ed6\u4eec\u63d0\u51fa\u4e86\u4e00\u4e2a\u4e0e\u72b6\u6001\u6709\u5173\u7684\u9a71\u52a8\u5ef6\u8fdf\uff0c\u8fd9\u5728\u4ee5\u524d\u7684\u5de5\u4f5c\u4e2d\u4ece\u672a\u62a5\u9053\u8fc7\uff0c\u5b83\u663e\u793a\u9a71\u52a8\u5ef6\u8fdf\u662f\u4e0e\u72b6\u6001\u76f8\u5173\u7684\u3002\u5176\u6b21\uff0c\u4ed6\u4eec\u91c7\u7528Galerkin\u6295\u5f71\u65b9\u6cd5\uff0c\u5f97\u5230\u4e86\u8be5\u5ef6\u8fdf\u4e3b\u52a8\u63a7\u5236\u7cfb\u7edf\u7684\u4f4e\u7ef4\u8fd1\u4f3c\u7cfb\u7edf\u3002\u6700\u540e\uff0c\u4ed6\u4eec\u901a\u8fc7Routh-Hurwitz\u51c6\u5219\u548cHopf\u5206\u5c94\u7406\u8bba\u7814\u7a76\u4e86\u5176\u7a33\u5b9a\u6027\u548cHopf\u5206\u5c94\u3002\u4ed6\u4eec\u5229\u7528WinPP\u8f6f\u4ef6\uff0c\u8fdb\u884c\u4e86\u6570\u503c\u6a21\u62df\uff0c\u8bc1\u5b9e\u4e86\u672c\u6587\u7684\u7406\u8bba\u7ed3\u679c\u3002<\/span><\/section>\n
       <\/span><\/section>\n
      <\/section>\n
      \u56fe10. \u7cfb\u7edf\u5728\u5e73\u8861\u6001\u65f6\u7684 Hopf \u5206\u5c94\u56fe<\/span><\/section>\n

      <\/span><\/section>\n
       <\/span><\/section>\n

      \n
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      <\/section>\n

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      <\/svg><\/section>\n<\/section>\n<\/section>\n
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      11. \u53ef<\/strong><\/strong>\u6fc0\u53d1 <\/strong>FitzHugh-Nagumo<\/strong><\/p>\n

      \u7cfb\u7edf\u7cfb\u7efc<\/strong>\u4e2d\u7684<\/strong>\u5d4c\u5408\u6001<\/strong><\/p>\n

      <\/strong><\/p>\n<\/section>\n

      \n

      <\/section>\n

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


      <\/p>\n

      \n
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      \u8bba\u6587\u9898\u76ee\uff1a<\/span><\/section>\n
      Chimera states in ensembles of excitable FitzHugh\u2013Nagumo systems<\/span><\/section>\n
      \u8bba\u6587\u94fe\u63a5\uff1a<\/span><\/section>\n
      https:\/\/link.springer.com\/article\/10.1140\/epjst\/e2020-900254-6<\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n
       <\/span>
      <\/section>\n
      \u4f5c\u8005\u7814\u7a76\u4e86\u4e00\u4e2a\u975e\u5c40\u90e8\u8026\u5408\u7684\u53ef\u6fc0\u53d1\u7684 FitzHugh-Nagumo \u7cfb\u7edf\u7cfb\u7efc\u3002\u5728\u6709\u566a\u58f0\u7684\u60c5\u51b5\u4e0b\uff0c\u6240\u63a2\u7d22\u7684\u7cfb\u7edf\u53ef\u4ee5\u8868\u73b0\u51fa\u4e00\u79cd\u7279\u6b8a\u7684\u5d4c\u5408\u6001\uff0c\u79f0\u4e3a\u76f8\u5e72-\u5171\u632f\u5d4c\u5408\u6001\u3002\u6b63\u5982\u4ee5\u524d\u6240\u8ba4\u4e3a\u7684\uff0c\u566a\u58f0\u5728\u5f62\u6210\u8fd9\u4e9b\u7ed3\u6784\u4e2d\u8d77\u4e3b\u8981\u4f5c\u7528\u3002\u672c\u6587\u8868\u660e\uff0c\u8fd9\u4e9b\u533a\u57df\u7684\u51fa\u73b0\u662f\u7531\u4e8e\u7ec4\u5206\u4e4b\u95f4\u7684\u7279\u5b9a\u8026\u5408\u3002\u8026\u5408\u7684\u4f5c\u7528\u6d89\u53ca\u5230\u4e00\u4e2a\u7a7a\u95f4\u6ce2\u533a\u57df\uff0c\u5373\u4f7f\u566a\u58f0\u6d88\u5931\uff0c\u5b83\u4e5f\u4f1a\u5728\u53ef\u6fc0\u53d1\u7684\u8282\u70b9\u7cfb\u7efc\u4e2d\u51fa\u73b0\u3002\u6b64\u5916\uff0c\u4e00\u4e2a\u65b0\u7684\u5d4c\u5408\u6001\u5728\u4e00\u4e2a\u53ef\u6fc0\u53d1\u7684\u533a\u57df\u5f97\u5230\u3002\u8fd9\u79cd\u7c7b\u578b\u7684\u5d4c\u5408\u6001\u5728\u53ef\u6fc0\u53d1\u7cfb\u7edf\u4e2d\u8fd8\u6ca1\u6709\u88ab\u89c2\u5bdf\u5230\uff0c\u7279\u522b\u662f\u5728 FitzHugh-Nagumo \u7684\u7cfb\u7efc\u4e2d\u3002\u7814\u7a76\u8868\u660e\uff0c\u566a\u58f0\u4f7f\u8fd9\u79cd\u5d4c\u5408\u6001\u5728Andronov\u2013Hopf\u5206\u5c94\u9644\u8fd1\u66f4\u52a0\u7a33\u5b9a\u3002<\/span><\/section>\n

      <\/span><\/section>\n
      <\/section>\n
      \u56fe11. \u76f8\u5e72-\u5171\u632f\u5d4c\u5408\u6001\u76f8\u5e94\u7684\u7a7a\u95f4-\u65f6\u95f4\u56fe\u3002<\/span><\/section>\n
       <\/span><\/section>\n
       <\/span><\/section>\n

      \n
      \n
      \n
      \n
      \n

      <\/section>\n

      <\/section>\n
      \n
      <\/svg><\/section>\n<\/section>\n<\/section>\n
      \n

      12. \u8026<\/strong><\/strong>\u5408\u632f\u5b50\u7f51\u7edc\u4e2d\u7684<\/strong><\/p>\n

      \u5206\u5c94\u5ef6\u8fdf\u3001\u884c\u6ce2\u548c\u7c7b\u5d4c\u5408\u6001<\/strong><\/p>\n<\/section>\n

      \n

      <\/section>\n

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


      <\/p>\n

      \n
      \n
      \n
      \u8bba\u6587\u9898\u76ee\uff1a<\/span><\/section>\n
      Bifurcation delay, travelling waves and chimera-like states in a network of coupled oscillators<\/span><\/section>\n
      \u8bba\u6587\u94fe\u63a5\uff1a<\/span><\/section>\n
      https:\/\/link.springer.com\/article\/10.1140\/epjst\/e2020-900192-x<\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n

      <\/section>\n
      \u4f5c\u8005\u63d0\u51fa\u4e86\u5728\u4e00\u4e2a\u88ab\u9a71\u52a8\u7684 FitzHugh-Nagumo<\/span>\uff08FHN\uff09<\/span>\u632f\u5b50\u7f51\u7edc\u4e2d\u65b0\u5947\u7684\u5206\u53c9\u5ef6\u8fdf\u548c\u7c7b\u5d4c\u5408\u6001\uff0c\u5176\u4e2d\u6bcf\u4e2a\u632f\u5b50\u53ef\u4ee5\u987a\u65f6\u9488\u6216\u9006\u65f6\u9488\u65cb\u8f6c\u3002FHN \u632f\u5b50\u7684\u65f6\u95f4\u53c2\u6570\u5728\u5206\u53c9\u70b9\u9644\u8fd1\u7684\u7f13\u6162\u53d8\u5316\u5bfc\u81f4\u4e86\u5206\u53c9\u7684\u5ef6\u8fdf\u3002\u5206\u53c9\u7684\u65f6\u95f4\u5ef6\u8fdf\u4e0e\u7cfb\u7edf\u7684\u65cb\u8f6c\u65b9\u5411<\/span>\uff08\u987a\u65f6\u9488\u6216\u9006\u65f6\u9488\u65cb\u8f6c\uff09<\/span>\u65e0\u5173\u3002\u5f53 FHN \u632f\u5b50\u901a\u8fc7\u4e0d\u540c\u7684\u53d8\u91cf\u8fdb\u884c\u8026\u5408\u65f6\uff0c\u90a3\u4e48\u9006\u65f6\u9488\u65cb\u8f6c\u632f\u5b50\u7684\u5206\u53c9\u5ef6\u8fdf\u5c31\u4f1a\u53d1\u751f\u53d8\u5316\uff0c\u4ea7\u751f\u7c7b\u5d4c\u5408\u6001\u7684\u7ed3\u6784\uff0c\u4e5f\u4f1a\u5728\u4e00\u5b9a\u7684\u8026\u5408\u5f3a\u5ea6\u4e0b\u4ea7\u751f\u884c\u6ce2\u3002\u5bf9\u4e8e\u5176\u4ed6\u8026\u5408\u5f3a\u5ea6\u8303\u56f4\uff0c\u4f5c\u8005\u4e5f\u89c2\u5bdf\u5230\u4e86\u5206\u5c94\u8d85\u524d<\/span>\uff08Bifurcation preponement\uff09<\/span>\u73b0\u8c61\u3002\u5728\u8303\u5fb7\u6ce2\u5c14\u548c\u6717\u9053-\u65af\u56fe\u5c14\u7279<\/span>\uff08Landau-Stuart\uff09<\/span>\u632f\u5b50\u7684\u7f51\u7edc\u4e2d\u4e5f\u89c2\u5bdf\u5230\u7c7b\u4f3c\u7684\u7ed3\u679c\uff0c\u8fd9\u8868\u660e\u8be5\u73b0\u8c61\u662f\u666e\u904d\u7684\uff0c\u800c\u4e0d\u662f\u7279\u5b9a\u4e8e\u8026\u5408\u7684FHN\u7cfb\u7edf\u3002<\/span><\/section>\n
       <\/span><\/section>\n
      <\/section>\n
       <\/span><\/section>\n

      \u56fe12. \u5ef6\u8fdf\u5206\u5c94\u3002(a) \u5feb\u901f\u632f\u8361\u7684\u819c\u7535\u4f4dv\uff08\u5b9e\u9ed1\u7ebf\uff09\u548c\u7f13\u6162\u53d8\u5316\u7684\u5916\u90e8\u7535\u6d41 I(\u03c9,t)\uff08\u865a\u7ea2\u7ebf\uff09\u7684\u53d8\u5316\u3002(b) \u65b9\u7a0b\uff081\uff09\u7684\u7a33\u6001\u89e3\uff08S\uff09\u548c\u5468\u671f\u89e3\uff08P\uff09\u7684\u5206\u53c9\u5206\u652f\u4f5c\u4e3a I(\u03c9,t) \u7684\u51fd\u6570\u3002\u84dd\u8272\u586b\u5145\u7684\u4e09\u89d2\u5f62\u8868\u793a\u7a33\u5b9a\u7684\uff0c\u7ea2\u8272\u7684\u70b9\u8868\u793a\u4e0d\u7a33\u5b9a\u7684\u7a33\u6001\u89e3\u3002(c) v \u548c I(\u03c9,t) \u7684\u53d8\u5316\u4f5c\u4e3a\u65f6\u95f4t\u7684\u51fd\u6570\uff0c\u5206\u53c9\u5ef6\u8fdf\u88ab\u6d4b\u91cf\u4e3a\u03c4b<\/sub>=tO<\/sub>-tH<\/sub>\u3002<\/span><\/p>\n


      <\/section>\n
       <\/span><\/section>\n

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

      <\/section>\n
      \n
      <\/svg><\/section>\n<\/section>\n<\/section>\n
      \n

      13. \u60ef<\/strong><\/strong>\u6027\u8026\u5408\u632f\u5b50\u7684\u87ba\u65cb\u6ce2\u5d4c\u5408\u6001<\/strong><\/p>\n<\/section>\n

      \n

      <\/section>\n

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


      <\/p>\n

      \n
      \n
      \n
      \u8bba\u6587\u9898\u76ee\uff1a<\/span><\/section>\n
      Spiral wave chimeras for coupled oscillators with inertia<\/span><\/section>\n
      \u8bba\u6587\u94fe\u63a5\uff1a<\/span><\/section>\n
      https:\/\/link.springer.com\/article\/10.1140\/epjst\/e2020-900279-x<\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n

      <\/section>\n
      \u4f5c\u8005\u62a5\u544a\u4e86\u6709\u60ef\u6027\u7684\u8026\u5408\u76f8\u4f4d\u632f\u5b50\u4e2d\u87ba\u65cb\u6ce2\u5d4c\u5408\u6001\u7684\u51fa\u73b0\u548c\u8715\u53d8\u3002\u9996\u5148\uff0c\u5f53\u8026\u5408\u5f3a\u5ea6\u8db3\u591f\u5c0f\u65f6\uff0c\u7cfb\u7edf\u884c\u4e3a\u7c7b\u4f3c\u4e8e\u7ecf\u5178\u7684\u4e8c\u7ef4<\/span>\uff082D\uff09<\/span>Kuramoto-Shima \u87ba\u65cb\u5d4c\u5408\u6001\uff0c\u5177\u6709\u975e\u76f8\u5e72\u6838\u5fc3\u7684\u949f\u5f62\u9891\u7387\u7279\u5f81<\/span> [Y. Kuramoto, S.I. Shima, Prog. Theor. Phys. Supp. 150, 115 (2003); S.I. Shima, Y. Kuramoto, Phys. Rev. E. 69, 036213 (2004)]<\/span>\u3002\u968f\u7740\u8026\u5408\u5f3a\u5ea6\u7684\u589e\u52a0\uff0c\u6838\u5fc3\u83b7\u5f97\u6052\u5b9a\u65f6\u95f4\u5e73\u5747\u9891\u7387\u7684\u540c\u5fc3\u533a\u57df\uff0c\u5d4c\u5408\u6001\u6210\u4e3a\u51c6\u5468\u671f\u6027\u7684\u3002\u6700\u7ec8\uff0c\u968f\u7740\u8026\u5408\u5f3a\u5ea6\u7684\u589e\u52a0\uff0c\u53ea\u5269\u4e0b\u4e00\u4e2a\u8fd9\u6837\u7684\u533a\u57df\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u6574\u4e2a\u6838\u5fc3\u53d8\u5f97\u9891\u7387\u4e00\u81f4\u3002\u5f53\u53c2\u6570\u70b9\u8fdb\u5165\u6240\u8c13\u7684\u5b64\u7acb\u533a\u57df\u65f6\uff0c\u7cfb\u7edf\u884c\u4e3a\u53d1\u751f\u672c\u8d28\u7684\u53d8\u5316\u3002\u7136\u540e\uff0c\u5728\u5d4c\u5408\u6001\u7684\u87ba\u65cb\u6838\u5fc3\u80cc\u666f\u4e0a\u901a\u5e38\u4f1a\u51fa\u73b0\u5b64\u7acb\u7684\u632f\u5b50\u3002\u8fd9\u4e9b\u5b64\u7acb\u632f\u5b50\u4e0d\u53c2\u4e0e\u56f4\u7ed5\u6838\u5fc3\u7684\u5171\u540c\u87ba\u65cb\uff0c\u76f8\u53cd\uff0c\u5b83\u4eec\u5f00\u59cb\u4ee5\u4e0d\u540c\u7684\u65f6\u95f4\u5e73\u5747\u9891\u7387<\/span>\uff08Poincar\u00e9\u7ed5\u6570\uff09<\/span>\u8fdb\u884c\u632f\u8361\u3002\u5b64\u7acb\u632f\u5b50\u7684\u6570\u91cf\u548c\u4f4d\u7f6e\u53ef\u4ee5\u662f\u4efb\u610f\u7684\uff0c\u7531\u521d\u59cb\u6761\u4ef6\u7ed9\u51fa\u3002\u5728\u8fdb\u4e00\u6b65\u63d0\u9ad8\u8026\u5408\u5ea6\u65f6\uff0c\u87ba\u65cb\u5f0f\u632f\u8361\u6d88\u5931\uff0c\u7cfb\u7edf\u884c\u4e3a\u8f6c\u53d8\u4e3a\u67d0\u79cd\u65f6\u7a7a\u6df7\u6c8c\u3002<\/span><\/section>\n
       <\/span><\/section>\n
      <\/section>\n

      \u56fe13. \u5177\u6709\u975e\u76f8\u5e72\u6838\u5fc3\u7684\u87ba\u65cb\u6ce2\u5d4c\u5408\u6001\u7684\u76f8\u4f4d\u5feb\u7167\u3002\u5de6\u56fe\u548c\u53f3\u56fe\u5206\u522b\u4e3a\u4e24\u6838\u548c\u56db\u6838\u3002<\/span><\/p>\n


      <\/section>\n
       <\/span><\/section>\n

      \n
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      <\/section>\n

      <\/section>\n
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      <\/svg><\/section>\n<\/section>\n<\/section>\n
      \n

      14. \u4e00<\/strong><\/strong>\u79cd\u65b0\u7684\u5177\u6709\u5947\u70b9\u7684\u5de8\u7a33\u6001\u6df7\u6c8c\u632f\u5b50<\/strong><\/p>\n<\/section>\n

      \n

      <\/section>\n

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


      <\/p>\n

      \n
      \n
      \n
      \u8bba\u6587\u9898\u76ee\uff1a<\/span><\/section>\n
      A new megastable chaotic oscillator with singularity<\/span><\/section>\n
      \u8bba\u6587\u94fe\u63a5\uff1a<\/span><\/section>\n
      https:\/\/link.springer.com\/article\/10.1140\/epjst\/e2020-000003-6<\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n

      <\/section>\n
      \u867d\u7136\u591a\u7a33\u6027\u88ab\u8ba4\u4e3a\u975e\u7ebf\u6027\u52a8\u529b\u5b66\u7684\u70ed\u95e8\u8bdd\u9898\uff0c\u4f46\u5bf9\u591a\u7a33\u6001\u7cfb\u7edf\u7684\u4e24\u79cd\u7279\u6b8a\u60c5\u51b5\u7814\u7a76\u8f83\u5c11\uff1a\u6781\u7aef\u591a\u7a33\u6001\u7cfb\u7edf\u548c\u5de8\u7a33\u6001\u7cfb\u7edf\u662f\u591a\u7a33\u6001\u52a8\u529b\u7cfb\u7edf\u7684\u4e24\u4e2a\u8f83\u65b0\u7684\u7c7b\u522b\u3002\u672c\u6587\u9996\u6b21\u4ecb\u7ecd\u4e86\u4e00\u4e2a\u6df7\u6c8c\u7684\u5de8\u7a33\u6001\u632f\u5b50\uff0c\u5b83\u7684\u65b9\u7a0b\u4e2d\u5b58\u5728\u4e00\u4e2a\u5947\u70b9\u3002\u7814\u7a76\u4e86\u5f3a\u8feb\u9879\u7684\u632f\u5e45\u548c\u9891\u7387\u5bf9\u6240\u8bbe\u8ba1\u7cfb\u7edf\u7684\u52a8\u529b\u5b66\u6f14\u5316\u7684\u5f71\u54cd\u3002\u5728\u5206\u5c94\u56fe\u548c\u674e\u4e9a\u666e\u8bfa\u592b\u6307\u6570\u56fe\u7684\u5e2e\u52a9\u4e0b\uff0c\u6240\u63d0\u51fa\u7684\u632f\u5b50\u53ef\u4ee5\u8868\u73b0\u51fa\u591a\u79cd\u52a8\u529b\u5b66\u884c\u4e3a\uff0c\u5305\u62ec\u6781\u9650\u5faa\u73af\u3001\u73af\u9762\u548c\u5947\u5f02\u5438\u5f15\u5b50\u3002<\/span><\/section>\n
       <\/span><\/section>\n
      <\/section>\n
      \u56fe14. \u4e94\u4e2a\u6781\u9650\u5faa\u73af\u5438\u5f15\u5b50\u7684\u793a\u610f\u56fe\uff0c\u6d45\u84dd\u8272\u662f\u80cc\u666f\u3002<\/span><\/section>\n


      <\/span><\/p>\n


      <\/span><\/p>\n

      \n
      \n
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      \n

      \u590d\u6742\u79d1\u5b66\u6700\u65b0\u8bba\u6587<\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

      \n


      <\/p>\n<\/section>\n

      \u96c6\u667a\u6591\u56fe\u9876\u520a\u8bba\u6587\u901f\u9012\u680f\u76ee\u4e0a\u7ebf\u4ee5\u6765\uff0c\u6301\u7eed\u6536\u5f55\u6765\u81eaNature\u3001Science<\/span>\u7b49\u9876\u520a\u7684\u6700\u65b0\u8bba\u6587\uff0c\u8ffd\u8e2a\u590d\u6742\u7cfb\u7edf\u3001\u7f51\u7edc\u79d1\u5b66\u3001\u8ba1\u7b97\u793e\u4f1a\u79d1\u5b66\u7b49\u9886\u57df\u7684\u524d\u6cbf\u8fdb\u5c55\u3002\u73b0\u5728\u6b63\u5f0f\u63a8\u51fa\u8ba2\u9605\u529f\u80fd\uff0c\u6bcf\u5468\u901a\u8fc7\u5fae\u4fe1\u670d\u52a1\u53f7\u300c\u96c6\u667a\u6591\u56fe\u300d\u63a8\u9001\u8bba\u6587\u4fe1\u606f\u3002\u626b\u63cf\u4e0b\u65b9\u4e8c\u7ef4\u7801\u5373\u53ef\u4e00\u952e\u8ba2\u9605\uff1a<\/span>
      <\/p>\n

      <\/p>\n

      \n


      <\/p>\n<\/section>\n


      <\/p>\n

      \n

      \u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/strong><\/p>\n