{"id":4281,"date":"2017-11-17T00:02:27","date_gmt":"2017-11-16T16:02:27","guid":{"rendered":"http:\/\/www.systemsci.org\/jinshanw\/?p=4281"},"modified":"2017-11-17T10:26:53","modified_gmt":"2017-11-17T02:26:53","slug":"%e8%87%b4%e7%97%85%e5%92%8c%e6%b2%bb%e7%97%85%e5%90%8c%e6%97%b6%e4%bc%a0%e6%92%ad%e7%9a%84%e4%bc%a0%e6%9f%93%e7%97%85","status":"publish","type":"post","link":"https:\/\/www.systemsci.org\/jinshanw\/2017\/11\/17\/%e8%87%b4%e7%97%85%e5%92%8c%e6%b2%bb%e7%97%85%e5%90%8c%e6%97%b6%e4%bc%a0%e6%92%ad%e7%9a%84%e4%bc%a0%e6%9f%93%e7%97%85\/","title":{"rendered":"\u81f4\u75c5\u548c\u6cbb\u75c5\u540c\u65f6\u4f20\u64ad\u7684\u4f20\u67d3\u75c5"},"content":{"rendered":"

\u6839\u636e\u6211\u4eec\u7684\u6c49\u5b57\u68c0\u6d4b\u6a21\u578b\u2014\u2014\u90a3\u91cc\u5b9e\u9645\u4e0a\u662f\u4e00\u4e2a\u5b57\u7684\u72b6\u6001\u2014\u2014\u88ab\u8ba4\u5f97\u548c\u4e0d\u88ab\u8ba4\u5f97\uff08\u52a0\u4e0a\u672a\u786e\u5b9a\uff0c\u5176\u5b9e\u4e09\u72b6\u6001\uff09\u2014\u2014\u4e24\u4e2a\u76f8\u4e92\u51b2\u7a81\u7684\u72b6\u6001\u5728\u7f51\u7edc\u4e0a\u4f20\u9012\u6216\u8005\u8bf4\u63a8\u65ad\uff0c\u6211\u4eec\u63d0\u51fa\u6765\u4e00\u4e2a\u4e09\u72b6\u6001\u2014\u2014\u5f85\u611f\u67d3\u3001\u67d3\u75c5\u548c\u67d3\u836f\u4e09\u4e2a\u72b6\u6001\u7684\u4f20\u67d3\u75c5\u6a21\u578b\u3002\u5f85\u4f20\u67d3\u7684\u4e2a\u4f53\u53ef\u4ee5\u901a\u8fc7\u63a5\u89e6\u67d3\u75c5\u4e2a\u4f53\u53d8\u6210\u67d3\u75c5\u4e2a\u4f53\uff0c\u4e5f\u53ef\u4ee5\u901a\u8fc7\u63a5\u89e6\u67d3\u836f\u4e2a\u4f53\u53d8\u6210\u67d3\u836f\u4e2a\u4f53\u3002\u540c\u65f6\uff0c\u67d3\u75c5\u4e2a\u4f53\u4e5f\u53ef\u4ee5\u901a\u8fc7\u63a5\u89e6\u67d3\u836f\u4e2a\u4f53\u53d8\u6210\u67d3\u836f\u4e2a\u4f53\uff0c\u751a\u81f3\u4e09\u4e2a\u72b6\u6001\u7684\u4efb\u610f\u4e00\u4e2a\uff1b\u67d3\u836f\u4e2a\u4f53\u4e5f\u53ef\u4ee5\u901a\u8fc7\u63a5\u89e6\u67d3\u75c5\u4e2a\u4f53\u53d8\u6210\u67d3\u75c5\u4e2a\u4f53\uff0c\u751a\u81f3\u4e09\u4e2a\u72b6\u6001\u7684\u4efb\u610f\u4e00\u4e2a\u3002<\/p>\n

\u4efb\u4f55\u4e00\u4e2a\u65f6\u5019\u6bcf\u4e00\u4e2a\u4e2a\u4f53\\(j\\)\u7684\u68c0\u6d4b\u72b6\u6001\u8bb0\u4e3a\uff08\\(k_{j}=\\left\\{1, 0, -1\\right\\}\\)\uff09\u5206\u522b\u4ee3\u8868\u67d3\u75c5\u3001\u5f85\u611f\u67d3\u548c\u67d3\u836f\u3002\u6211\u4eec\u6709\u4e00\u4e2a\u63a5\u89e6\u7f51\u7edc\\(A\\)\uff0c\u4ee3\u8868\u8fd9\u4e9b\u4e2a\u4f53\u4e4b\u95f4\u53ef\u80fd\u7684\u63a5\u89e6\u3002\u67d3\u75c5\u548c\u67d3\u836f\u4e24\u79cd\u4f20\u64ad\u53ef\u4ee5\u5728\u4e00\u4e2a\u7f51\u7edc\u4e0a\uff0c\u4e5f\u53ef\u4ee5\u5728\u540c\u6837\u9876\u70b9\u7684\u4e24\u79cd\u7f51\u7edc\u4e0a\uff0c\u4f20\u64ad\u77e9\u9635\uff08\u610f\u4e49\u7a0d\u540e\u5b9a\u4e49\uff09\u5206\u522b\u8bb0\u4e3a\\(\\Omega^{\\left(\\pm\\right)} = \\left(\\omega^{\\left(\\pm\\right),i}_{j}\\right)\\)\u3002\u518d\u7b80\u5355\u60c5\u51b5\u4e0b\uff0c\u53ef\u4ee5\u76f4\u63a5\u53d6\\(\\Omega^{\\left(\\pm\\right)}=A\\)\u3002\u5728\\(t\\)\u65f6\u523b\uff0c\u4efb\u610f\u4e00\u4e2a\u4e2a\u4f53\u7684\u72b6\u6001\u63cf\u8ff0\u662f\\(p\\left(k_{j}, t\\right)\\)\u3002<\/p>\n

\u8fd9\u4e2a\u6a21\u578b\u548c\u540c\u4e00\u7f51\u7edc\uff0c\u6216\u8005\u53cc\u5173\u7cfb\u7f51\u7edc\u2014\u2014\u540c\u6837\u7684\u4e00\u7ec4\u9876\u70b9\u901a\u8fc7\u4e24\u79cd\u5173\u7cfb\u5f62\u6210\u4e24\u4e2a\u7f51\u7edc\uff0c\u4e0a\u7684\u4e24\u79cd\u4f20\u67d3\u75c5\u72ec\u7acb\u4f20\u64ad\u6a21\u578b\u6700\u5927\u7684\u533a\u522b\u662f\uff1a\u8fd9\u91cc\u7684\u4e24\u79cd\u4f20\u67d3\u75c5\u662f\u53ef\u4ee5\u76f8\u4e92\u62b5\u6d88<\/strong>\u7684\u3002\u4e0b\u9762\u6211\u4eec\u6765\u8003\u8651\u62b5\u6d88\u7684\u52a8\u529b\u5b66\u3002<\/p>\n

\u4e24\u79cd\u4f20\u67d3\u75c5\u62b5\u6d88\u673a\u5236\u7684\u7b80\u5316\u63cf\u8ff0<\/h3>\n

\u6211\u4eec\u4e5f\u53ef\u4ee5\u5b9a\u4e49\u4e00\u5957\u65b0\u7684\u72b6\u6001\u53d8\u91cf\\(\\eta^{\\left(1\\right)}_{j}, \\eta^{\\left(-1\\right)}_{j}\\)\uff0c\u5e76\u4e14\u4e0a\u9762\u7684\u51e0\u7387\u5206\u522b\u8868\u8fbe\u6210
\n\\begin{align}
\nq^{\\left(1\\right)}=p\\left(1_{j},t\\right) = \\frac{\\eta^{\\left(1\\right)}_{j} \\left(t\\right) – \\eta^{\\left(-1\\right)}_{j} \\left(t\\right)}{\\eta^{\\left(1\\right)}_{j} \\left(t\\right) + \\eta^{\\left(-1\\right)}_{j} \\left(t\\right)}\\theta\\left(\\eta^{\\left(1\\right)}_{j} \\left(t\\right) – \\eta^{\\left(-1\\right)}_{j} \\left(t\\right)\\right) \\notag \\\\
\nq^{\\left(-1\\right)}=p\\left(-1_{j},t\\right) = \\frac{\\eta^{\\left(-1\\right)}_{j} \\left(t\\right) – \\eta^{\\left(1\\right)}_{j} \\left(t\\right)}{\\eta^{\\left(1\\right)}_{j} \\left(t\\right) + \\eta^{\\left(-1\\right)}_{j} \\left(t\\right)}\\theta\\left(\\eta^{\\left(-1\\right)}_{j} \\left(t\\right) – \\eta^{\\left(1\\right)}_{j} \\left(t\\right)\\right) \\notag \\\\
\np\\left(0_{j},t\\right) = 1-\\frac{\\left|\\eta^{\\left(1\\right)}_{j} \\left(t\\right) – \\eta^{\\left(-1\\right)}_{j} \\left(t\\right)\\right|}{\\eta^{\\left(1\\right)}_{j} \\left(t\\right) + \\eta^{\\left(-1\\right)}_{j} \\left(t\\right)} = 1- q^{\\left(1\\right)} -q^{\\left(-1\\right)}
\n\\end{align}
\n\u6ce8\u610f\uff0c\u91c7\u7528\\(\\eta^{\\left(1\\right)}_{j}, \\eta^{\\left(-1\\right)}_{j}\\)\u8fd9\u7ec4\u53d8\u91cf\u4ee5\u540e\uff0c\u95ee\u9898\u6781\u5927\u7b80\u5316\u4e86\uff0c\u8fd9\u662f\u4e00\u4e2a\u5047\u8bbe\u3002<\/p>\n

\u73b0\u5728\uff0c\u6211\u4eec\u5df2\u7ecf\u6e05\u695a\u4e86\u7cfb\u7edf\u72b6\u6001\u7684\u63cf\u8ff0\\(P\\)\uff08\u6bcf\u4e00\u4e2a\u4e2a\u4f53\u90fd\u6709\u4e00\u4e2a\u72b6\u6001\u5206\u5e03\u51fd\u6570\uff0c\u6574\u4f53\u72b6\u6001\u6784\u6210\u4e00\u4e2a\u5206\u5e03\u51fd\u6570\u5927\u77e2\u91cf\u3002\u8fd9\u4e2a\u77e2\u91cf\u7684\u5177\u4f53\u5199\u6cd5\u53ef\u4ee5\u91c7\u7528\u76f4\u79ef\u6216\u8005\u76f4\u548c\uff0c\u518d\u8bf4\uff0c\u73b0\u5728\u7528\u4e0d\u7740\uff09\u548c\u521d\u59cb\u6761\u4ef6\\(P\\left(0\\right)\\)\uff0c\u6211\u4eec\u6765\u6784\u9020\u4e00\u4e2a\u52a8\u529b\u5b66\u8fc7\u7a0b\\(P\\left(t-1\\right)\\rightarrow P\\left(t\\right)\\)\u3002\u5c06\u6765\uff0c\u6211\u4eec\u8981\u8ba8\u8bba\u8fd9\u6837\u7684\u95ee\u9898\uff1a\u672b\u72b6\u6001\u5982\u4f55\u4f9d\u8d56\u4e8e\u521d\u59cb\u6761\u4ef6\u548c\u6a21\u578b\u53c2\u6570\u3002<\/p>\n

\u6211\u4eec\u5148\u8ba8\u8bba\u52a8\u529b\u5b66\u8fc7\u7a0b\u3002\u6bcf\u4e00\u6b65\uff08\u8bb0\u4e3a\\(t\\)\u65f6\u523b\uff09\uff0c\u6211\u4eec\u9009\u62e9\u4e00\u4e2a\u4e2a\u4f53\\(i\\)\u6765\u770b\u5176\u72b6\u6001\u53d8\u5316\u3002<\/p>\n

\u8003\u5bdf\u8fd9\u4e2a\u4e2a\u4f53\u7684\u4e00\u7ea7\u8fd1\u90bb\u3002\u5bf9\u4e8e\u6bcf\u4e00\u4e2a\u4e00\u7ea7\u8fd1\u90bb\\(j\\)\u6309\u7167\u5982\u4e0b\u65b9\u5f0f\u6765\u5f71\u54cd\\(i\\)\u7684\u72b6\u6001\uff1a<\/li>\n

    \n
  1. \u5982\u679c\\(k_{j}=0\\)\uff0c\u5219\u6ca1\u6709\u5f71\u54cd<\/li>\n
  2. \u5982\u679c\\(k_{j}=1\\)\uff08\u8fd9\u4e2a\u65f6\u5019\u53ef\u4ee5\u7ea6\u5b9a\\(\\eta^{\\left(1\\right)}_{j}=1,\\eta^{\\left(-1\\right)}_{j}=0\\)\uff09\uff0c\u5219\u91c7\u7528\u4e58\u6027\u4f20\u64ad<\/li>\n

    \\begin{align}
    \n\\eta^{\\left(1\\right)}_{i}\\left(t\\right) = \\eta^{\\left(1\\right)}_{i}\\left(t-1\\right) + \\omega^{\\left(1\\right),j}_{i}\\eta^{\\left(1\\right)}_{j}\\left(t-1\\right)
    \n\\end{align}
    \n\u6216\u8005\u52a0\u6027\u4f20\u64ad
    \n\\begin{align}
    \n\\eta^{\\left(1\\right)}_{i}\\left(t\\right) = \\eta^{\\left(1\\right)}_{i}\\left(t-1\\right) + \\omega^{\\left(1\\right),j}_{i}
    \n\\end{align}<\/p>\n

  3. \u5982\u679c\\(k_{j}=-1\\)\uff08\u8fd9\u4e2a\u65f6\u5019\u53ef\u4ee5\u7ea6\u5b9a\\(\\eta^{\\left(1\\right)}_{j}=0,\\eta^{\\left(-1\\right)}_{j}=1\\)\uff09\uff0c\u5219\u91c7\u7528\u4e58\u6027\u4f20\u64ad<\/li>\n

    \\begin{align}
    \n\\eta^{\\left(-1\\right)}_{i}\\left(t\\right) = \\eta^{\\left(-1\\right)}_{i}\\left(t-1\\right) + \\omega^{\\left(-1\\right),j}_{i}\\eta^{\\left(-1\\right)}_{j}\\left(t-1\\right)
    \n\\end{align}
    \n\u6216\u8005\u52a0\u6027\u4f20\u64ad
    \n\\begin{align}
    \n\\eta^{\\left(1\\right)}_{i}\\left(t\\right) = \\eta^{\\left(1\\right)}_{i}\\left(t-1\\right) + \\omega^{\\left(-1\\right),j}_{i}
    \n\\end{align}\n<\/ol>\n

    \u628a\u4ee5\u4e0a\u7684\u8fc7\u7a0b\u5408\u8d77\u6765\uff0c\u4e5f\u5c31\u662f
    \n\\begin{align}
    \n\\eta^{\\left(k_{j}\\right)}_{i}\\left(t\\right) = \\eta^{\\left(k_{j}\\right)}_{i}\\left(t-1\\right) + \\omega^{\\left(k_{j}\\right),j}_{i}\\eta^{\\left(k_{j}\\right)}_{j}\\left(t-1\\right)\\left(k^{j}\\right)^{2}
    \n\\end{align}
    \n\u6216\u8005
    \n\\begin{align}
    \n\\eta^{\\left(k_{j}\\right)}_{i}\\left(t\\right) = \\eta^{\\left(k_{j}\\right)}_{i}\\left(t-1\\right) + \\omega^{\\left(k_{j}\\right),j}_{i}\\left(k^{j}\\right)^{2}
    \n\\end{align}<\/p>\n

    \u5fc5\u8981\u7684\u65f6\u5019\u53ef\u4ee5\u56de\u6765\u8ba1\u7b97\u6982\u7387\\(p\\left(k_{j},t\\right)\\) \u3002\u8fd9\u6837\u8fd9\u4e24\u79cd\u4f20\u67d3\u72b6\u6001\u5c31\u80fd\u591f\u76f8\u4e92\u62b5\u6d88\u4e86\u3002<\/p>\n

    \u66f4\u4e00\u822c\u7684\u4e24\u79cd\u4f20\u67d3\u75c5\u62b5\u6d88\u673a\u5236\u7684\u63cf\u8ff0<\/h3>\n

    \u4f8b\u5982\uff0c\u5f53\u4e00\u4e2a\u5065\u5eb7\u9876\u70b9\u5468\u56f4\u7684\u67d3\u75c5\u6216\u8005\u67d3\u836f\u9876\u70b9\u591a\u4f59\u67d0\u4e2a\u503c\uff0c\u5c31\u4f1a\u53d8\u6210\u76f8\u5e94\u7684\u72b6\u6001\u3002\u7c7b\u4f3c\u7684\uff0c\u67d3\u75c5\uff08\u67d3\u836f\uff09\u9876\u70b9\u5468\u56f4\u7684\u67d3\u75c5\u6216\u8005\u67d3\u836f\u9876\u70b9\u591a\u4f59\u67d0\u4e2a\u503c\uff0c\u5c31\u4f1a\u53d8\u6210\u76f8\u5e94\u7684\u72b6\u6001\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

    \u6839\u636e\u6211\u4eec\u7684\u6c49\u5b57\u68c0\u6d4b\u6a21\u578b\u2014\u2014\u90a3\u91cc\u5b9e\u9645\u4e0a\u662f\u4e00\u4e2a\u5b57\u7684\u72b6\u6001\u2014\u2014\u88ab\u8ba4\u5f97\u548c\u4e0d\u88ab\u8ba4\u5f97\uff08\u52a0\u4e0a\u672a\u786e\u5b9a\uff0c\u5176\u5b9e\u4e09\u72b6\u6001\uff09\u2014\u2014\u4e24\u4e2a\u76f8\u4e92\u51b2 … \u7ee7\u7eed\u9605\u8bfb\u201c\u81f4\u75c5\u548c\u6cbb\u75c5\u540c\u65f6\u4f20\u64ad\u7684\u4f20\u67d3\u75c5\u201d<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[11],"tags":[348,109],"_links":{"self":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts\/4281"}],"collection":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/comments?post=4281"}],"version-history":[{"count":24,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts\/4281\/revisions"}],"predecessor-version":[{"id":4309,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts\/4281\/revisions\/4309"}],"wp:attachment":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/media?parent=4281"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/categories?post=4281"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/tags?post=4281"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}