{"id":59814,"date":"2025-05-18T20:10:07","date_gmt":"2025-05-18T12:10:07","guid":{"rendered":"https:\/\/swarma.org\/?p=59814"},"modified":"2025-05-18T20:10:07","modified_gmt":"2025-05-18T12:10:07","slug":"%e6%97%b6%e5%9f%9f%e7%9a%84%e6%b6%8c%e7%8e%b0%ef%bc%9a%e5%90%8c%e6%ad%a5%ef%bc%88%e4%b8%80%ef%bc%89-%e6%b6%8c%e7%8e%b0%e5%8a%a8%e5%8a%9b%e5%ad%a6%e7%ac%ac%e5%9b%9b%e8%af%be","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=59814","title":{"rendered":"\u65f6\u57df\u7684\u6d8c\u73b0\uff1a\u540c\u6b65\uff08\u4e00\uff09 | \u6d8c\u73b0\u52a8\u529b\u5b66\u7b2c\u56db\u8bfe"},"content":{"rendered":"
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1. \u540c\u6b65\uff1a\u8282\u5f8b\u7684\u81ea\u7ec4\u7ec7\u6d8c\u73b0<\/span><\/span><\/p>\n

2. \u4ece\u8026\u5408\u6781\u9650\u73af\u5230Kuramoto\u6a21\u578b<\/span><\/span><\/p>\n

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\u540c\u6b65\u3001\u8026\u5408\u6781\u9650\u73af\u3001Kuramoto\u6a21\u578b\u3001\u5e8f\u53c2\u91cf\u3001Mobius\u53d8\u6362 \u3001WS\u53d8\u6362\u3001\u5e73\u5747\u573a\u3001\u81ea\u6d3d\u65b9\u7a0b\u65b9\u6cd5\u3001\u534f\u540c\u5b66\u3001OA\u62df\u8bbe\u3001 \u661f\u578b\u7f51\u7edc\u3001\u8026\u5408\u5f02\u8d28\u6548\u5e94\u3001\u7a33\u5b9a\u6027\u3001\u5206\u5c94\u3001\u5947\u5f02\u6001\u3002<\/span><\/span><\/p>\n


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\u53c2\u8003\u6587\u732e<\/span><\/span><\/strong><\/p>\n

[1] John Buck, Synchronous Rhythmic  Flashing of Fireflies. The Quarterly Review  of Biology13,  3 (1938),  301-314.<\/span><\/span><\/p>\n

[2]  John Buck, Synchronous Rhythmic  Flashing of Fireflies. II. The Quarterly  Review of Biology 63, 3 (1988), 265-289.<\/span><\/span><\/p>\n

[3] Aihara I, Mizumoto T, Otsuka T, et al. Spatio-temporal dynamics in collective frog choruses examined by mathematical modeling and field observations[J]. Scientific reports, 2014, 4(1): 3891.<\/span><\/span><\/p>\n

[4] Zhigang Zheng, Gang Hu and Bambi Hu, Phase slips and  phase synchronization of coupled oscillators, Phys. Rev. Lett.  81, 5318-5321 (1998).<\/span><\/span><\/p>\n

[5] Zhigang Zheng, Bambi Hu and Gang Hu, Collective phase  slips and phase synchronizations in coupled oscillator systems,  Phys. Rev. E 62, 402-408 (2000).<\/span><\/span><\/p>\n

[6] Bambi Hu and Zhigang Zheng, Phase  synchronizations: transitions from high-to low-dimensional tori  through chaos, Inter. J. Bif. & Chaos 10, 10, 2399-2414 (2000).<\/span><\/span><\/p>\n

[7] Winfree A T. Biological rhythms and the behavior of populations of coupled oscillators[J]. Journal of theoretical biology, 1967, 16(1): 15-42.<\/span><\/span><\/p>\n

[8] Kuramoto Y. Self-entrainment of a population of coupled non-linear oscillators[C]\/\/International symposium on mathematical problems in theoretical physics: January 23\u201329, 1975, kyoto university, kyoto\/Japan. Springer Berlin Heidelberg, 1975: 420-422.<\/span><\/span><\/p>\n

[9] Marvel, S. A., Mirollo, R. E. & Strogatz, S. H. Chaos 19, 043104  (2009).<\/span><\/span><\/p>\n

[10] glass and spurious glass states   [Nat. Commun. 5, 4118 (2014)].<\/span><\/span><\/p>\n

[11] Chimera states  [Int. J. Mod. Phys. B 30, 7, 1630002 (2016)].<\/span><\/span><\/p>\n

[12] Bellerophon (B) states. [Phys. Rev. Lett. 117, 204101 (2016)].<\/span><\/span><\/p>\n

[13] C. Xu, J. Gao, H. Xiang, W. Jia, S. Guan, and Z.  Zheng*, Phys. Rev. E 94, 062204 (2016).<\/span><\/span><\/p>\n

[14] C. Xu, S. Boccaletti, S. Guan and Z. Zheng*,  Phys. Rev. E 98, 050202(R) (2018).<\/span><\/span><\/p>\n

[15] Xu C, Boccaletti S, Zheng Z, et al. Universal phase transitions to synchronization in Kuramoto-like models with heterogeneous coupling[J]. New Journal of Physics, 2019, 21(11): 113018.<\/span><\/span><\/p>\n

[16] Wang X, Xu C, Zheng Z. Phase transition and scaling in Kuramoto model with high-order coupling[J]. Nonlinear Dynamics, 2021, 103: 2721-2732.<\/span><\/span><\/p>\n

[17] Cai Z, Zheng Z, Xu C. Exact dynamics of phase transitions in oscillator populations with nonlinear coupling[J]. Communications in Nonlinear Science and Numerical Simulation, 2022, 107: 106129.<\/span><\/span><\/p>\n

[18] Wang X, Zheng Z, Xu C. Collective dynamics of phase oscillator populations with three-body interactions[J]. Physical Review E, 2021, 104(5): 054208.<\/span><\/span><\/p>\n


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\u8bfe\u7a0b\u65f6\u95f4\uff1a<\/span><\/span>2025\u5e745\u670819\u65e5\uff08\u5468\u4e00\uff09 19:00-21:00<\/span><\/span><\/strong><\/p>\n

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1997-2015\u5e74\u5728\u5317\u4eac\u5e08\u8303\u5927\u5b66\u5de5\u4f5c\uff0c2001\u5e74\u7834\u683c\u6559\u6388\uff0c2006-2011\u5e74\u66fe\u4efb\u7269\u7406\u7cfb\u7cfb\u4e3b\u4efb\u30022015\u5e74\u81f3\u4eca\u5728\u534e\u4fa8\u5927\u5b66\u4fe1\u606f\u79d1\u5b66\u4e0e\u5de5\u7a0b\u5b66\u9662\u5de5\u4f5c\uff0c\u4efb\u534e\u4fa8\u5927\u5b66\u7cfb\u7edf\u79d1\u5b66\u7814\u7a76\u6240\u6240\u957f\u3002\u66fe\u83b7\u5168\u56fd\u767e\u7bc7\u4f18\u535a\u3001\u9ad8\u6821\u9752\u5e74\u6559\u5e08\u5956\u3001\u4f18\u79c0\u9aa8\u5e72\u6559\u5e08\u5956\u7b49\u3002<\/span><\/span><\/p>\n

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1. \u9886\u57df\u7814\u7a76\u8005\u3001\u7406\u5de5\u79d1\u7814\u7a76\u751f\u6216\u9ad8\u5e74\u7ea7\u672c\u79d1\u751f\uff1a<\/span><\/span><\/h2>\n

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<\/section>\n<\/section>\n<\/section>\n
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\u62a5\u540d\u987b\u77e5<\/span><\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

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


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

1. \u8bfe\u7a0b\u5f62\u5f0f\uff1a\u817e\u8baf\u4f1a\u8bae\u76f4\u64ad\uff0c\u96c6\u667a\u5b66\u56ed\u7f51\u7ad9\u5f55\u64ad\u3002<\/span><\/span>\u672c\u7cfb\u5217\u8bfe\u7a0b\u4e0d\u5b89\u6392\u514d\u8d39\u76f4\u64ad\u3002<\/span><\/span><\/strong><\/h2>\n

2. \u8bfe\u7a0b\u5468\u671f\uff1a2025\u5e744\u670814\u65e5-2025\u5e746\u670816\u65e5\uff0c\u6bcf\u5468\u4e00\u665a19\u70b9-21\u70b9\u8fdb\u884c\u3002<\/span><\/span><\/strong><\/h2>\n

3. \u8bfe\u7a0b\u5b9a\u4ef7\uff1a799\u5143<\/span><\/span><\/strong><\/h2>\n
<\/section>\n

\u626b\u7801\u4ed8\u8d39\u62a5\u540d<\/span><\/span><\/span><\/p>\n

\u8bfe\u7a0b\u8bfe\u7a0b\u94fe\u63a5\uff1a<\/span><\/span>https:\/\/campus.swarma.org\/course\/5482?from=wechat<\/span><\/span><\/span><\/span><\/p>\n


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

\u4ed8\u8d39\u6d41\u7a0b\uff1a<\/span><\/span><\/p>\n

1. \u626b\u7801\u4ed8\u8d39\uff1b<\/span><\/span><\/p>\n

2. \u8bfe\u7a0b\u9875\u9762\u6dfb\u52a0\u5b66\u5458\u767b\u8bb0\u8868\uff0c\u6dfb\u52a0\u52a9\u6559\u5fae\u4fe1\u5165\u7fa4\uff1b<\/span><\/span><\/p>\n

3. \u8bfe\u7a0b\u53ef\u5f00\u53d1\u7968\u3002<\/span><\/span><\/p>\n

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


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

\u63a8\u8350\u9605\u8bfb\uff1a<\/span><\/span><\/p>\n

1. <\/span>\u6d8c\u73b0\u52a8\u529b\u5b66\u5982\u4f55\u7528\u6765\u5206\u6790\u590d\u6742\u7cfb\u7edf\uff1f | \u65b0\u8bfe\u4e0a\u7ebf<\/a><\/span><\/p>\n

2. <\/span>\u4e66\u7c4d\u63a8\u8350\uff1a\u590d\u6742\u7cfb\u7edf\u7684\u6d8c\u73b0\u52a8\u529b\u5b66 | \u90d1\u5fd7\u521a<\/a><\/span><\/p>\n

3. <\/span>\u4ec0\u4e48\u662f\u7cfb\u7edf\u79d1\u5b66 & \u590d\u6742\u7cfb\u7edf\uff1f<\/a><\/span><\/p>\n

4. <\/span>\u6d8c\u73b0\uff1a21\u4e16\u7eaa\u79d1\u5b66\u7684\u7edf\u4e00\u4e3b\u9898<\/a><\/span><\/span><\/p>\n


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

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\u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u62a5\u540d\u8bfe\u7a0b<\/span><\/span><\/p>\n<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

\u5bfc\u8bed \u96c6\u667a\u5b66\u56ed\u8054\u5408\u534e\u4fa8\u5927\u5b66\u90d1\u5fd7\u521a\u6559\u6388\u5f00\u8bbe\u300c\u590d\u6742\u7cfb\u7edf\u7684\u6d8c\u73b0\u52a8\u529b\u5b66\u300d\u7cfb\u5217\u8bfe\u7a0b\uff0c\u4ece\u540c\u6b65\u5230\u96c6\u7fa4\uff0c\u4ece\u52a8\u529b\u7cfb\u7edf\u5230\u7edf\u8ba1\u7269\u7406\uff0c\u672c\u8bfe\u7a0b\u4e3a\u4f60\u5168\u9762\u3001\u7cfb\u7edf\u5730\u4ecb\u7ecd\u6d8c\u73b0\u52a8\u529b\u5b66\uff0c\u4ece\u7269\u7406\u5b66\u89c6\u89d2\u5efa\u7acb\u8d77\u7406\u8bba\u6846\u67b6\u3002 \u73b0\u4f5c\u4e3a\u7cfb\u5217\u8bfe\u7a0b\u7684\u7b2c\u56db\u8bb2\uff0c\u90d1\u5fd7\u521a\u6559\u6388\u5c06\u4ee5\u300c\u65f6\u57df\u7684\u6d8c\u73b0\uff1a\u540c\u6b65\uff08\u4e00\uff09\u300d\u4e3a\u9898\u5c06\u7cfb\u7edf\u4ecb\u7ecd\u6df7\u6c8c\u7cfb\u7edf\u7684\u540c\u6b65\uff0c\u5305\u62ec\u8282\u5f8b\u7684\u81ea\u7ec4\u7ec7\u6d8c\u73b0\u3001\u4ece\u8026\u5408…<\/p>\n","protected":false},"author":0,"featured_media":59806,"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\/59814"}],"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=59814"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/59814\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/59806"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=59814"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=59814"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=59814"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=59814"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}