{"id":46651,"date":"2023-11-21T22:53:30","date_gmt":"2023-11-21T14:53:30","guid":{"rendered":"https:\/\/swarma.org\/?p=46651"},"modified":"2023-11-21T22:53:30","modified_gmt":"2023-11-21T14:53:30","slug":"%e5%89%8d%e6%b2%bf%e8%bf%9b%e5%b1%95%ef%bc%9a%e9%9b%86%e4%bd%93%e8%a1%8c%e4%b8%ba%e7%9a%84%e6%bc%94%e5%8c%96%e5%8a%a8%e5%8a%9b%e5%ad%a6%ef%bc%8c%e8%b6%8b%e5%90%8c%e8%bf%98%e6%98%af%e8%b6%8b%e5%bc%82","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=46651","title":{"rendered":"\u524d\u6cbf\u8fdb\u5c55\uff1a\u96c6\u4f53\u884c\u4e3a\u7684\u6f14\u5316\u52a8\u529b\u5b66\uff0c\u8d8b\u540c\u8fd8\u662f\u8d8b\u5f02\uff1f"},"content":{"rendered":"
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Laplacian dynamics of convergent and divergent collective behaviors<\/span><\/section>\n
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2. \u5982\u4f55\u63cf\u8ff0\u8d8b\u5f02\u6f14\u5316\uff1a\u4ece\u5c40\u90e8\u5230\u5168\u5c40<\/span><\/strong><\/span><\/section>\n

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\u4f5c\u8005\u4f7f\u7528\u4e0e\u56fe\u62c9\u666e\u62c9\u65af\u77e9\u9635L<\/strong><\/span>(t)<\/span><\/span>\u6709\u5173\u7684\u77e9\u9635<\/sub><\/span>\u6765\u8868\u793a\u8d8b\u5f02\u6f14\u5316\u65b9\u5411\uff0c\u5176\u4e2d<\/sub><\/span>\u662fMoore\u2013Penrose\u4f2a\u9006\u8bb0\u53f7[11]\uff0c\u901a\u8fc7\u77e9\u9635<\/sub><\/span>\u8c03\u6574\u56fe\u7684\u8fb9\uff0c\u8fdb\u800c\u63a7\u5236\u8282\u70b9\u5355\u5143\u4e4b\u95f4\u7684\u76f8\u4f3c\u6027\uff0c\u4e0e\u4e4b\u5bf9\u5e94\u7684\u8d8b\u5f02\u6f14\u5316\u52a8\u529b\u5b66\u65b9\u7a0b\u5982\u4e0b<\/span><\/section>\n

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\u5176\u4e2dv<\/strong>d<\/sub><\/span>(t)<\/span><\/span>\u4ee3\u8868\u8d8b\u5f02\u901f\u5ea6\uff0c<\/sub><\/span>\u4ee3\u8868L<\/strong><\/span>(t)<\/span><\/span>\u7684Moore\u2013Penrose\u4f2a\u9006\uff0cq<\/strong>-1<\/sup><\/span>(t)<\/span>\u4e0e\u8d8b\u540c\u6f14\u5316\u65b9\u7a0b\u4e2dq<\/strong>(t<\/span>)<\/span><\/span>\u6027\u8d28\u7c7b\u4f3c\uff0c\u5bf9\u65b9\u7a0b\u57fa\u4e8e\u8282\u70b9\u7684\u5ea6\u8fdb\u884c\u7ea6\u5316\u3002<\/span><\/section>\n

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1. \u540c\u8d28\u6027\u7cfb\u7edf\u7684\u5747\u4e00\u8fd0\u52a8\u5b9e\u9a8c\u6a21\u62df<\/span><\/strong><\/span><\/section>\n

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\u56db\u3001\u603b\u7ed3<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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\u5728\u8fd9\u7bc7\u5de5\u4f5c\u5f53\u4e2d\uff0c\u4f5c\u8005\u63d0\u51fa\u4e86\u4e00\u4e2a\u7528\u4e8e\u63cf\u8ff0\u96c6\u4f53\u884c\u4e3a\u6f14\u5316\u4e2d\u7684\u8d8b\u540c\u8d8b\u5f02\u73b0\u8c61\u7684\u6781\u5c0f\u52a8\u529b\u5b66\u6a21\u578b\u3002\u5c3d\u7ba1\u6709\u7740\u7b80\u660e\u7684\u6570\u5b66\u5f62\u5f0f\uff0c\u8be5\u6a21\u578b\u5374\u8868\u73b0\u51fa\u4e30\u5bcc\u7684\u975e\u5e73\u51e1\u52a8\u529b\u5b66\u884c\u4e3a\uff0c\u5e76\u8868\u660e\u5728\u5c40\u90e8\u76f8\u4e92\u4f5c\u7528\u63a7\u5236\u4e0b\u7684\u8d8b\u540c\u548c\u8d8b\u5f02\u6f14\u5316\u4e4b\u95f4\u53ef\u80fd\u5b58\u5728\u7c7b\u4f3c\u76f8\u53d8\u7684\u73b0\u8c61\u3002\u5728\u5206\u6790\u6c42\u89e3\u8be5\u6a21\u578b\u4e2d\u96be\u4ee5\u5904\u7406\u7684\u975e\u5e73\u51e1\u52a8\u529b\u5b66\u95ee\u9898\uff0c\u53ef\u80fd\u4f1a\u6fc0\u53d1\u540e\u7eed\u7814\u7a76\u8005\u4f7f\u7528\u65b0\u7684\u6570\u5b66\u5de5\u5177\u5bf9\u96c6\u4f53\u884c\u4e3a\u7684\u6570\u5b66\u7269\u7406\u6027\u8d28\u8fdb\u884c\u7814\u7a76\u3002\u6b64\u5916\u7531\u4e8e\u8be5\u6a21\u578b\u5728\u8ba1\u7b97\u4e0a\u7684\u7b80\u4fbf\uff0c\u4f7f\u4e4b\u53ef\u80fd\u5728\u5176\u57fa\u7840\u4e0a\u53d1\u5c55\u5927\u89c4\u6a21\u7684\u96c6\u4f53\u884c\u4e3a\u6a21\u62df\u3002<\/span><\/section>\n

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[1] Naldi G, Pareschi L and Toscani G 2010 Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences (Berlin:  Springer Science & Business Media)<\/span><\/section>\n
[2] Khatri B S, McLeish T C and Sear R P 2009 Proc. Natl Acad. Sci. 106 9564\u20139<\/span><\/section>\n
[3] Powell R and Mariscal C 2015 Interface Focus 5 20150040<\/span><\/section>\n
[4] Stayton C T 2015 Interface Focus 5 20150039<\/span><\/section>\n
[5] Sitarz M and Maksymowicz A 2005 Int. J. Mod. Phys. C 16 1917\u201325<\/span><\/section>\n
[6] Vogwill T, Phillips R L, Gifford D R and MacLean R C 2016 Proc. R. Soc. B 283 20160749<\/span><\/section>\n
[7] Zeldovich K B and Shakhnovich E I 2008 Annu. Rev. Phys. Chem. 59 105\u201327<\/span><\/section>\n
[8] Castellano C, Fortunato S and Loreto V 2009 Rev. Mod. Phys. 81 591<\/span><\/section>\n
[9] Flierl G, Gr\u00fcnbaum D, Levins S and Olson D 1999 J. Theor. Biol. 196 397\u2013454<\/span><\/section>\n
[10] Takayasu M, Sato K, Sano Y, Yamada K, Miura W and Takayasu H 2015 PLoS One 10 e0121443<\/span><\/section>\n
[11] Barata J C A and Hussein M S 2012 Braz. J. Phys. 42 146\u201365<\/span><\/section>\n
[12] Altafini C and Lini G 2014 IEEE Trans. Autom. Control 60 342\u201357<\/span><\/section>\n
[13] Fax J A and Murray R M2004IEEETrans. Autom. Control 49 1465\u201376<\/span><\/section>\n
[14] Veerman J P and Lyons R 2020 arXiv:2002.02605<\/span><\/section>\n
[15] Larsen R J and Marx M L2005 AnIntroduction to Mathematical Statistics (Hoboken, NJ: Prentice Hall)<\/span><\/section>\n


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\uff08\u53c2\u8003\u6587\u732e\u53ef\u4e0a\u4e0b\u6ed1\u52a8<\/strong>\u67e5\u770b\uff09<\/p>\n<\/section>\n<\/section>\n


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2.<\/strong> \u5168\u7403\u96c6\u4f53\u884c\u4e3a\uff1a78\u4ebf\u4eba\u793e\u4f1a\u7f51\u7edc\u7684\u5371\u673a\u7ba1\u7406<\/a><\/strong><\/span><\/strong><\/section>\n
3. <\/strong>\u4e34\u754c\u7684\u9e1f\u7fa4\u5982\u4f55\u7075\u6d3b\u98de\u821e\uff1f\u7edf\u8ba1\u573a\u8bba\u65b9\u6cd5\u7814\u7a76\u9e1f\u7fa4\u96c6\u4f53\u884c\u4e3a<\/a><\/strong><\/span><\/section>\n
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6. <\/strong>\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/strong><\/span><\/a><\/section>\n


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

\u5bfc\u8bed \u5404\u7c7b\u7269\u7406\u3001\u751f\u7269\u4ee5\u53ca\u793e\u4f1a\u7684\u590d\u6742\u7cfb\u7edf\u5f80\u5f80\u7531\u6570\u91cf\u5e9e\u5927\u7684\u4e2a\u4f53\u5355\u5143\u7ec4\u6210\uff0c\u8fd9\u4e9b\u4e2a\u4f53\u7684\u884c\u4e3a\u5f7c\u6b64\u5f71\u54cd\u4ece\u800c\u6784\u6210\u4e86\u7cfb\u7edf\u5c42\u9762\u4e0a\u4e30\u5bcc\u591a\u6837\u7684\u96c6\u4f53\u884c\u4e3a\u6a21\u5f0f\uff0c\u5982\u4f55\u5bf9\u4e2a\u4f53\u884c\u4e3a\u3001\u4e2a\u4f53\u95f4\u5f71\u54cd\u4ee5\u53ca\u4e0e\u4e4b\u5bf9\u5e94\u7684\u6574\u4f53\u7cfb\u7edf\u52a8\u6001\u8fdb\u884c\u63cf\u8ff0\u5206\u6790\u662f\u7cfb\u7edf\u95ee\u9898\u4e2d\u7684\u6838\u5fc3\u4efb\u52a1\u3002\u5728\u6700\u8fd1\u53d1\u8868\u5728 Journal of Physics: Complex…<\/p>\n","protected":false},"author":0,"featured_media":46617,"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\/46651"}],"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=46651"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/46651\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/46617"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=46651"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=46651"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=46651"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=46651"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}