{"id":39761,"date":"2023-01-12T22:20:22","date_gmt":"2023-01-12T14:20:22","guid":{"rendered":"https:\/\/swarma.org\/?p=39761"},"modified":"2023-01-12T22:20:22","modified_gmt":"2023-01-12T14:20:22","slug":"%e5%a4%8d%e6%b7%b7%e6%b2%8c%e7%b3%bb%e7%bb%9f%e5%8f%8a%e5%88%86%e5%bd%a2-%e9%9b%86%e6%99%ba%e8%af%be%e5%a0%82%c2%b7%e5%91%a8%e4%ba%94%e7%9b%b4%e6%92%ad","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=39761","title":{"rendered":"\u590d\u6df7\u6c8c\u7cfb\u7edf\u53ca\u5206\u5f62 | \u96c6\u667a\u8bfe\u5802\u00b7\u5468\u4e94\u76f4\u64ad"},"content":{"rendered":"
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20 \u4e16\u7eaa 70 \u5e74\u4ee3\u672b\u674e\u5929\u5ca9\u548c James Yorke \u5728\u6570\u5b66\u5206\u6790\u4e2d\u6b63\u5f0f\u5f15\u5165\u201c\u6df7\u6c8c\u201d\u8fd9\u4e2a\u79d1\u5b66\u672f\u8bed\u3002\u7ecf\u8fc7\u5b66\u672f\u754c\u4e2d\u597d\u51e0\u4ee3\u4eba\u8fd1 50 \u5e74\u7684\u5171\u540c\u52aa\u529b\uff0c\u6df7\u6c8c\u65e9\u5df2\u4e0d\u518d\u662f\u4e00\u4e2a\u964c\u751f\u7684\u6982\u5ff5\uff0c\u5176\u79d1\u5b66\u4f53\u7cfb\u65e5\u8d8b\u5b8c\u5584\uff0c\u5728\u6570\u5b66\u3001\u7269\u7406\u3001\u8ba1\u7b97\u673a\u79d1\u5b66\u3001\u751f\u547d\u79d1\u5b66\u3001\u793e\u4f1a\u79d1\u5b66\u3001\u5de5\u7a0b\u6280\u672f\u3001\u5546\u4e1a\u548c\u901a\u8baf\u7b49\u9886\u57df\u4e2d\u5f97\u5230\u4e86\u5e7f\u6cdb\u7684\u5e94\u7528\u3002\u4e3a\u4e86\u5411\u8de8\u5b66\u79d1\u5b66\u4e60\u8005\u666e\u53ca\u6df7\u6c8c\u79d1\u5b66\u7684\u7406\u8bba\u77e5\u8bc6\uff0c\u96c6\u667a\u5b66\u56ed\u7279\u522b\u9080\u8bf7\u9648\u5173\u8363\u3001\u738b\u96c4\u3001\u674e\u6625\u5f6a\u3001\u5f20\u65ed\u3001\u9a6c\u519b\u3001\u5218\u575a\u3001\u738b\u9752\u4e91\u3001\u53f6\u56fd\u680b\u3001\u79b9\u601d\u654f9\u4f4d\u4ece\u4e8b\u6df7\u6c8c\u53ca\u76f8\u5173\u8de8\u5b66\u79d1\u7814\u7a76\u7684\u8d44\u6df1\u5b66\u8005\u62c5\u4efb\u5bfc\u5e08\uff0c\u5f00\u8bbe\u4e86\u300c<\/span><\/strong>\u6df7\u6c8c\u79d1\u5b66\u7cfb\u5217\u8bfe\u7a0b<\/span><\/strong><\/a>\u300d\u3002<\/span><\/strong><\/p>\n


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1\u670813\u65e5\uff08\u672c\u5468\u4e94\uff09\u665a19:00-21:30\uff0c\u5c06\u7531\u6d4e\u5357\u5927\u5b66\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u5218\u575a\u6559\u6388\u5f00\u542f\u6df7\u6c8c\u79d1\u5b66\u7b2c\u516d\u8bfe\uff0c\u5c06\u4ecb\u7ecd\u51e0\u79cd\u590d\u53d8\u91cf\u6df7\u6c8c\u7cfb\u7edf\u53ca\u540c\u6b65\u63a7\u5236\uff0c\u5c06\u7279\u522b\u8be6\u7ec6\u5730\u8bb2\u89e3\u590dLorenz\u7cfb\u7edf\u3002\u5e76\u5f15\u5165\u5206\u5f62\u7406\u8bba\uff0c\u4ee5\u590d\u53d8\u51fd\u6570\u7684\u8fed\u4ee3\u5165\u624b\uff0c\u4ecb\u7ecd\u5206\u5f62\u7406\u8bba\u4e2d\u7684Mandelbrot\u96c6\u548cJulia \u96c6\u7b49\u91cd\u8981\u6a21\u578b\u53ca\u5176\u63a7\u5236\u3002\u4ecb\u7ecd\u590d\u6df7\u6c8c\u7cfb\u7edf\u53ca\u5206\u5f62\u6d89\u53ca\u7684\u4e3b\u8981\u7ed3\u679c\u4ee5\u53ca\u6700\u8fd1\u7684\u4e00\u4e9b\u8fdb\u5c55\u3002<\/span><\/strong><\/p>\n

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\u7ecf\u5178\u7684\u8fde\u7eed\u590d\u52a8\u529b\u7cfb\u7edf\u4ee5\u590d\u53d8\u91cfLorenz\u6df7\u6c8c\u7cfb\u7edf\u4e3a\u4ee3\u8868\uff1b\u7ecf\u5178\u7684\u79bb\u6563\u590d\u52a8\u529b\u7cfb\u7edf\u901a\u8fc7\u590d\u53d8\u51fd\u6570\u7684\u8fed\u4ee3\uff0c\u53ef\u4ea7\u751f\u4e24\u7c7b\u5206\u5f62\u96c6\uff1aMandelbrot\u96c6\u548cJulia\u96c6\u3002\u590d\u6df7\u6c8c\u504f\u91cd\u4e8e\u6570\u7406\u7684\u52a8\u529b\u5b66\u53ca\u52a8\u529b\u5b66\u4e0e\u56fe\u5f62\u7ed3\u5408\u7684\u591a\u65b9\u4f4d\u7684\u63cf\u8ff0\u548c\u7814\u7a76\u3002\u5206\u5f62\u66f4\u6ce8\u91cd\u81ea\u76f8\u4f3c\u5f62\u6001\u6216\u51e0\u4f55\u7279\u6027\u7684\u63cf\u8ff0\u3002\u6df7\u6c8c\u4e0e\u5206\u5f62\u5bc6\u4e0d\u53ef\u5206\uff0c\u5bf9\u590d\u6df7\u6c8c\u7cfb\u7edf\u4e0e\u5206\u5f62\u7684\u7814\u7a76\u53ef\u4ee5\u7406\u89e3\u4e3a\u63a2\u8ba8\u590d\u52a8\u529b\u7cfb\u7edf\u4e2d\u65e0\u5e8f\u548c\u6709\u5e8f\u7684\u5171\u5b58\u4e0e\u7ade\u4e89\u3002<\/span><\/section>\n

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    \u590d\u52a8\u529b\u7cfb\u7edf\u7684\u5206\u5f62\u96c6: Mandelbrot \u96c6\u548cJulia \u96c6<\/p>\n<\/li>\n

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    \u5173\u952e\u8bcd\uff1a\u590d\u52a8\u529b\u7cfb\u7edf\u3001\u590d\u6df7\u6c8c\u4fe1\u53f7\u3001\u590dLorenz\u6df7\u6c8c\u7cfb\u7edf\u3001\u6df7\u6c8c\u590d\u540c\u6b65\u3001\u590d\u53c2\u6570\u8bc6\u522b\u3001\u5206\u5f62\u3001\u590d\u53d8\u51fd\u6570\u8fed\u4ee3\u3001\u81ea\u76f8\u4f3c\u3001\u8fde\u901a\u6027\u3001Mandelbrot \u96c6\u3001Julia \u96c6\u3001\u5206\u5f62\u63a7\u5236\u3001\u5206\u5f62\u751f\u957f<\/span><\/strong><\/section>\n


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    \u5218\u575a<\/span><\/strong>\uff0c\u6d4e\u5357\u5927\u5b66\u6570\u5b66\u79d1\u5b66\u5b66\u9662\u6559\u6388\uff0c\u7855\u58eb\u7814\u7a76\u751f\u5bfc\u5e08<\/strong>\u30021994\u5e747\u6708\u6bd5\u4e1a\u4e8e\u66f2\u961c\u5e08\u8303\u5927\u5b66\u83b7\u7406\u5b66\u5b66\u58eb\u5b66\u4f4d\u30022004\u5e74\u4e8e\u5c71\u4e1c\u5927\u5b66\u6570\u5b66\u4e0e\u7cfb\u7edf\u79d1\u5b66\u5b66\u9662\u83b7\u7406\u5b66\u7855\u58eb\u5b66\u4f4d\u30022014\u5e74\u4e8e\u5c71\u4e1c\u5927\u5b66\u63a7\u5236\u79d1\u5b66\u4e0e\u5de5\u7a0b\u5b66\u9662\u83b7\u5de5\u5b66\u535a\u58eb\u5b66\u4f4d\u30022013\u5e74\u7f8e\u56fdUniversity of Wisconsin-Madison\u8bbf\u5b66\u30022015\u5e747\u6708\u81f32016\u5e749\u6708\u4e2d\u56fd\u79d1\u5b66\u9662\u6570\u5b66\u4e0e\u7cfb\u7edf\u79d1\u5b66\u7814\u7a76\u6240\u8bbf\u5b66\u30022020\u5e741\u6708\u81f33\u6708\u9999\u6e2f\u57ce\u5e02\u5927\u5b66\u7535\u673a\u5de5\u7a0b\u7cfb\uff0c\u7814\u7a76\u5458\u3002\u957f\u671f\u4ece\u4e8b\u975e\u7ebf\u6027\u52a8\u529b\u7cfb\u7edf\u5206\u6790\u4e0e\u63a7\u5236\u4ee5\u53ca\u590d\u6742\u7f51\u7edc\u7814\u7a76<\/strong>\u3002\u4e2d\u56fd\u7535\u5b50\u5b66\u4f1a\u7535\u8def\u4e0e\u7cfb\u7edf\u5206\u4f1a\u6df7\u6c8c\u4e0e\u975e\u7ebf\u6027\u7535\u8def\u4e13\u4e1a\u59d4\u5458\u4f1a\u59d4\u5458\u3002<\/span><\/section>\n
    \u4e2a\u4eba\u4e3b\u9875\uff1ahttp:\/\/math.ujn.edu.cn\/info\/1179\/5915.htm<\/span><\/section>\n


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    1. <\/span>C<\/span>. Fowler, J. D. Gibbon. The complex Lorenz equations. Physica D.1982. 4(2). 139-163.<\/span><\/section>\n
    2. G. M. Mahmoud, T. Bountis. The dynamics of systems of complex nonlinear oscillators. a review [J]. International Journal of Bifurcation and Chaos. 2004. 14(11). 3821-3846.<\/span><\/section>\n
    3. Xiu Zhao, Jian Liu, Jun Mou, Chenguang Ma, Feifei Yang. Characteristics of a laser system in complex field and its complex self-synchronization. European Physical Journal Plus, 2020, 135(6): 507-1~17.<\/span><\/section>\n
    4. Jian Liu, Shutang Liu, Julien Clinton Sprott. Adaptive complex modified hybrid function projective synchronization of different dimensional complex chaos with uncertain complex parameters, Nonlinear Dynamics 2016, 83(1): 1109-1121<\/span><\/section>\n
    5. Jian Liu, Guanrong Chen, Xiu Zhao. Generalized synchronization and parameters identification of different-dimensional chaotic systems in the complex field. Fractals, 2021, 29(4) : 2150081-1~13.<\/span><\/section>\n
    6. \u5206\u5f62\u5bf9\u8c61\uff1a\u5f62\u3001\u673a\u9047\u548c\u7ef4\u6570. [\u6cd5] B.\u66fc\u5fb7\u5c14\u5e03\u6d1b\u7279. \u4e16\u754c\u56fe\u4e66\u51fa\u7248\u516c\u53f8, 1999, 12<\/span><\/section>\n
    7. Shu Tang Liu, Pei Wang. Fractal Control Theory. Springer Berlin Heid: Singapore, 2018, 05.<\/span><\/section>\n


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    \u76f4\u64ad\u65f6\u95f4\u5b89\u6392\uff1a<\/span><\/strong><\/section>\n
    1\u670813\u65e5\uff08\u5468\u4e94\uff09 19:00-21:30<\/span><\/section>\n
    19:00-21:00 \u5218\u575a\uff1a\u590d\u6df7\u6c8c\u7cfb\u7edf\u53ca\u5206\u5f62<\/span><\/section>\n
    21:00-21:30 \u8bfe\u7a0b\u7b54\u7591\u73af\u8282<\/span><\/section>\n

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


    <\/p>\n

    \u76f4\u64ad\u65b9\u5f0f\uff1a<\/span><\/strong><\/p>\n