{"id":42363,"date":"2023-05-08T16:43:09","date_gmt":"2023-05-08T08:43:09","guid":{"rendered":"https:\/\/swarma.org\/?p=42363"},"modified":"2023-05-08T16:43:09","modified_gmt":"2023-05-08T08:43:09","slug":"prl%e9%80%9f%e9%80%92%ef%bc%9a%e5%a4%8d%e6%95%b0%e5%8c%96-kuramoto-%e6%a8%a1%e5%9e%8b%e4%b8%ad%e5%bc%b1%e8%80%a6%e5%90%88%e7%9a%84%e5%90%8c%e6%ad%a5%e6%80%a7","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=42363","title":{"rendered":"PRL\u901f\u9012\uff1a\u590d\u6570\u5316 Kuramoto \u6a21\u578b\u4e2d\u5f31\u8026\u5408\u7684\u540c\u6b65\u6027"},"content":{"rendered":"
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\u5173\u952e\u8bcd\uff1a\u540c\u6b65\uff0cKuramoto\u6a21\u578b\uff0c\u5438\u5f15\u5b50\uff0c\u9501\u76f8\u72b6\u6001<\/span><\/strong><\/strong><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/span><\/strong><\/strong><\/strong><\/span><\/p>\n<\/section>\n

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\u8bba\u6587\u9898\u76ee\uff1aSynchrony for Weak Coupling in the Complexified Kuramoto Model<\/span><\/section>\n

\u8bba\u6587\u6765\u6e90\uff1aPhysical Review Letters<\/em><\/span><\/p>\n

\u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/journals.aps.org\/prl\/abstract\/10.1103\/PhysRevLett.130.187201<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n


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\u540c\u6b65<\/span><\/strong>\uff08Synchrony\uff09<\/span>\u6307\u4e24\u4e2a\u6216\u4e24\u4e2a\u4ee5\u4e0a\u968f\u65f6\u95f4\u53d8\u5316\u7684\u91cf\u5728\u53d8\u5316\u8fc7\u7a0b\u4e2d\u4fdd\u6301\u4e00\u5b9a\u7684\u76f8\u5bf9\u5173\u7cfb\uff0c\u534f\u8c03\u4e8b\u4ef6\u4ee5\u7edf\u4e00\u5730\u64cd\u4f5c\u4e00\u4e2a\u7cfb\u7edf\u3002\u5728\u7269\u7406\u7cfb\u7edf\u4e2d\u8868\u793a\uff1a\u4e24\u4e2a\u6216\u51e0\u4e2a\u968f\u65f6\u95f4\u53d8\u5316\u7684\u91cf\uff0c\u5728\u53d8\u5316\u8fc7\u7a0b\u4e2d\u4fdd\u6301\u4e00\u5b9a\u7684\u76f8\u5bf9\u5173\u7cfb\u3002<\/span><\/p>\n


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Kuramoto \u6a21\u578b\u662f\u5178\u578b\u7684\u632f\u5b50\u540c\u6b65\u6a21\u578b\uff0c\u63cf\u8ff0\u4e86\u4e00\u5927\u7c7b\u5f31\u8026\u5408\u5f3a\u5438\u5f15\u6781\u9650\u73af\u632f\u5b50\u3002\u6211\u4eec\u4e00\u822c\u7528\u5e73\u5747\u573a\u5e8f\u53c2\u91cfr<\/span>\uff08r\u2208<\/span>[0,1]\uff0cr=1\u4ee3\u8868\u6240\u6709\u5355\u5143\u90fd\u540c\u6b65\uff09<\/span>\u6765\u91cf\u5316Kuramoto\u6a21\u578b\u7684\u540c\u6b65\u3002\u5f53K>Kpl<\/sup><\/span>\uff08\u7ecf\u5178\u9501\u76f8\u4e34\u754c\u8026\u5408\u5f3a\u5ea6\uff09<\/span>\u65f6\uff0c\u540c\u6b65\u4ee5\u9501\u76f8\u72b6\u6001<\/span>\uff08phase-locked states\uff0c\u5373\u4efb\u610f\u4e24\u53d8\u91cf\u4e4b\u5dee\u6052\u4e3a\u5e38\u6570\uff09<\/span>\u51fa\u73b0\uff1b\u800c\u5f53K=K<\/span>pl<\/sup>\u65f6\uff0c\u4e0d\u5b58\u5728\u9501\u76f8\u72b6\u6001\uff1b\u5f53K\u21920\u65f6\uff0c\u5e73\u5747\u573a\u5e8f\u53c2\u91cfr=\u03bf<\/span>(Np-1\/2<\/sup>)\u3002<\/span><\/p>\n


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\u7136\u800c\uff0c\u5bf9\u8fd9\u4e2a\u770b\u4f3c\u7b80\u5355\u7684\u6a21\u578b\u8fdb\u884c\u4e86\u8fd1\u534a\u4e2a\u4e16\u7eaa\u7684\u7814\u7a76\uff0c\u4ecd\u6709\u51e0\u4e2a\u57fa\u672c\u95ee\u9898\u5c1a\u672a\u89e3\u51b3\u3002\u6bd4\u5982\uff0c\u5bf9\u6709\u9650\u5c3a\u5ea6\u7684\u7cfb\u7edf\uff0c\u5173\u4e8e\u975e\u76f8\u5e72\u6001\u548c\u90e8\u5206\u9501\u5b9a\u6001\u7684\u7a33\u5b9a\u6027\u7684\u91cd\u8981\u65b9\u9762\u4ecd\u7136\u6ca1\u6709\u5f97\u5230\u89e3\u51b3\uff0c\u5173\u4e8e\u975e\u76f8\u5e72\u6001<\/span>\uff08incoherent\uff09<\/span>\u548c\u90e8\u5206\u9501\u76f8\u72b6\u6001<\/span>\uff08partially locked states\uff09<\/span>\u7684\u7a33\u5b9a\u6027\u7684\u672c\u8d28\u95ee\u9898\u4ecd\u7136\u6ca1\u6709\u89e3\u51b3\u3002<\/span><\/p>\n


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\u6700\u8fd1\u53d1\u8868\u5728 Physical Review Letters \u7684\u8fd9\u7bc7\u6587\u7ae0\u4ece\u4e00\u4e2a\u65b0\u89c6\u89d2\u51fa\u53d1\uff0c\u89e3\u6790\u5730\u5206\u6790\u4e86\u6709\u9650\u5c3a\u5ea6\u7684\u590d\u53d8\u91cf Kuramoto \u6a21\u578b<\/strong>\u3002\u4ed6\u4eec\u53d1\u73b0\u5bf9\u4e8e\u5f3a\u8026\u5408<\/span>\uff08\u5982\u5b9e\u53d8\u91cf\u7cfb\u7edf\uff09<\/span>\uff0c\u9501\u5b9a\u72b6\u6001<\/span>\uff08locked states\uff09<\/span>\u6784\u6210\u5438\u5f15\u5b50\uff0c\u4ece\u800c\u6d8c\u73b0\u51fa\u540c\u6b65\u3002\u7136\u800c\uff0c\u5f53\u8026\u5408\u5f3a\u5ea6K\uff1cKpl<\/sup>\u65f6\uff0c\u540c\u6b65\u4ecd\u4ee5\u590d\u6742\u9501\u5b9a\u72b6\u6001<\/span>\uff08complex locked states\uff09<\/span>\u7684\u5f62\u5f0f\u6301\u7eed\u5b58\u5728\u3002\u7a33\u5b9a\u7684\u590d\u6742\u9501\u5b9a\u72b6\u6001\u8868\u793a\u5728\u5b9e\u53d8\u91cf\u6a21\u578b\u4e2d\u96f6\u5e73\u5747\u9891\u7387\u7684\u95ed\u9501\u4e9a\u7fa4<\/span>\uff08locked subpopulation\uff09<\/span>\uff0c\u5e76\u4e14\u5b83\u4eec\u7684\u865a\u90e8\u6709\u52a9\u4e8e\u8bc6\u522b\u6784\u6210\u8be5\u4e9a\u7fa4\u7684\u5143\u7d20\u3002\u4ed6\u4eec\u8fd8\u53d1\u73b0\u4e86\u5728K\uff1cK<\/span>pl<\/sup>\u5904\u4f1a\u51fa\u73b0\u4e8c\u6b21\u8dc3\u8fc1\uff0c\u6b64\u65f6\uff0c\u590d\u6742\u9501\u5b9a\u72b6\u6001\u53d8\u5f97\u7ebf\u6027\u4e0d\u7a33\u5b9a\uff0c\u4f46\u5bf9\u4e8e\u4efb\u610f\u5c0f\u7684\u8026\u5408\u5f3a\u5ea6K\uff0c\u540c\u6b65\u4ecd\u7136\u5b58\u5728\u3002<\/span><\/p>\n


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\u56fe3. N\u589e\u52a0\u65f6\u7684\u6301\u7eed\u590d\u5408\u540c\u6b65\u3002<\/span><\/p>\n


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

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\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\u6211\u7684\u96c6\u667a\u300d\u63a8\u9001\u8bba\u6587\u4fe1\u606f\u3002\u626b\u63cf\u4e0b\u65b9\u4e8c\u7ef4\u7801\u5373\u53ef\u4e00\u952e\u8ba2\u9605\uff1a<\/span>
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\u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/strong><\/p>\n

1. <\/strong>PRL\u901f\u9012\uff1a\u5f39\u6027\u7ed3\u6784\u7684\u81ea\u632f\u8361\u4e0e\u540c\u6b65\u8f6c\u53d8<\/a><\/strong><\/span><\/strong><\/strong><\/section>\n
2.<\/strong> Nat. Commun.\uff1a\u5177\u6709\u7f13\u6162\u5438\u5f15\u529b\u7684\u5fae\u6cf3\u7c92\u5b50\u81ea\u53d1\u5f62\u6210\u6da1\u65cb<\/a><\/strong><\/span><\/strong><\/section>\n
3. <\/strong><\/strong>\u524d\u6cbf\u901f\u9012\uff1a\u8026\u5408\u975e\u7ebf\u6027\u632f\u5b50\u540c\u6b65\u6d8c\u73b0\u548c\u4e00\u7ea7\u76f8\u53d8\u7684\u7cbe\u786e\u5224\u636e<\/a><\/strong><\/strong><\/span><\/strong><\/strong><\/section>\n
4. \u300a\u5f20\u6c5f\u00b7\u590d\u6742\u79d1\u5b66\u524d\u6cbf27\u8bb2\u300b\u5b8c\u6574\u4e0a\u7ebf\uff01<\/strong><\/a><\/strong><\/strong><\/strong><\/section>\n
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5. \u6210\u4e3a\u96c6\u667aVIP\uff0c\u89e3\u9501\u5168\u7ad9\u8bfe\u7a0b\uff0f\u8bfb\u4e66\u4f1a<\/span><\/strong><\/a><\/strong><\/strong><\/strong><\/strong><\/section>\n
6.<\/strong><\/strong><\/strong> <\/strong><\/strong><\/strong>\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/strong><\/a><\/strong><\/strong><\/strong><\/span><\/section>\n

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\u5173\u952e\u8bcd\uff1a\u540c\u6b65\uff0cKuramoto\u6a21\u578b\uff0c\u5438\u5f15\u5b50\uff0c\u9501\u76f8\u72b6\u6001 \u8bba\u6587\u9898\u76ee\uff1aSynchrony for Weak Coupling in the Complexified Kuramoto Model \u8bba\u6587\u6765\u6e90\uff1aPhysical Review Letters \u8bba\u6587\u94fe\u63a5\uff1ahttps:\/\/journals.aps….<\/p>\n","protected":false},"author":0,"featured_media":42357,"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\/42363"}],"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=42363"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/42363\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/42357"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=42363"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=42363"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=42363"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=42363"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}