{"id":24467,"date":"2016-04-29T00:28:28","date_gmt":"2016-04-28T16:28:28","guid":{"rendered":"https:\/\/case.ntu.edu.tw\/blog\/?p=24467"},"modified":"2018-08-03T14:31:29","modified_gmt":"2018-08-03T06:31:29","slug":"%e3%80%90%e6%8e%a2%e7%b4%a215-3%e3%80%91%e5%8b%9e%e5%80%ab%e8%8c%b2%ef%bc%8c%e8%9d%b4%e8%9d%b6%ef%bc%8c%e4%bb%a5%e5%8f%8a%e4%bb%96%e5%80%91%e5%85%b1%e5%90%8c%e6%8e%80%e8%b5%b7%e7%9a%84%e6%b7%b7","status":"publish","type":"post","link":"https:\/\/case.ntu.edu.tw\/blog\/?p=24467","title":{"rendered":"\u3010\u63a2\u7d2215-3\u3011\u52de\u502b\u8332\uff0c\u8774\u8776\uff0c\u4ee5\u53ca\u4ed6\u5011\u5171\u540c\u6380\u8d77\u7684\u6df7\u6c8c\u98a8\u66b4"},"content":{"rendered":"
\"\u8774\u8776\u6548\u61c9\u3002\u5716\u7247\u4f86\u6e90\uff1a\u7dad\u57fa\u767e\u79d1\"
\u8774\u8776\u6548\u61c9\u3002\u5716\u7247\u4f86\u6e90\uff1a\u7dad\u57fa\u767e\u79d1<\/figcaption><\/figure>\n

\u8b1b\u5e2b\uff5c<\/strong>\u81fa\u5927\u7269\u7406\u7cfb \u9673\u7fa9\u88d5\u6559\u6388
\n\u64b0\u6587\uff5c<\/strong>\u856d\u7dad\u7ff0<\/p>\n

\u672c\u671f\u8b1b\u5ea7\u7531\u9f90\u52a0\u840a (Henri Poincare) \u5728 19 \u4e16\u7d00\u958b\u5275\u6027\u7684\u5de5\u4f5c\u8d77\u59cb\uff0c\u8aaa\u660e\u4e86\u6df7\u6c8c\u73fe\u8c61\u7684\u767c\u73fe\u8207\u5176\u76f8\u95dc\u7684\u6b77\u53f2\u8108\u7d61\u3002\u7136\u800c\uff0c\u524d\u8005\u4e26\u4e0d\u5e38\u662f\u666e\u7f85\u5927\u773e\u5c0d\u65bc\u6df7\u6c8c\u7684\u5553\u8499\uff0c\u66f4\u5ee3\u70ba\u4eba\u77e5\u7684\u6df7\u6c8c\u76f8\u95dc\u73fe\u8c61\u61c9\u7576\u662f\u6240\u8b02\u7684\u300c\u8774\u8776\u6548\u61c9\u300d(butterfly effect)\u3002\u8a72\u8853\u8a9e\u7684\u6b77\u53f2\u8d77\u6e90\u53ef\u8ffd\u6eaf\u65bc 1972 \u5e74\u52de\u502b\u8332 (E. Lorenz) \u65bc\u7f8e\u570b\u79d1\u5b78\u4fc3\u9032\u6703 (American Association for the Advancement of Science) \u7684\u6f14\u8b1b\u984c\u76ee\u300c\u82e5\u4e00\u96bb\u8774\u8776\u5728\u5df4\u897f\u632f\u7fc5\uff0c\u662f\u5426\u6703\u9020\u6210\u5728\u5fb7\u5dde\u7684\u9f8d\u6372\u98a8\u5462\uff1f<\/strong>\u300d\uff0c\u6cdb\u6307\u52de\u502b\u8332\u65b9\u7a0b\u5f0f\u4ee5\u53ca\u5176\u4ed6\u6df7\u6c8c\u7cfb\u7d71\u5c0d\u65bc\u521d\u59cb\u689d\u4ef6\u7684\u654f\u611f\u6240\u884d\u751f\u7684\u73fe\u8c61\u3002\u56e0\u6b64\uff0c\u672c\u8b1b\u7684\u4e3b\u984c\u5373\u8457\u773c\u65bc\u8a72\u65b9\u7a0b\u7d44\u8207\u5176\u89e3\u7d44\u6210\u7684\u5716\u50cf\uff0c\u5728\u5b9a\u6027\u7684\u5c64\u6b21\u4e0a\u4e86\u89e3\u6240\u8b02\u7684\u8774\u8776\u6548\u61c9\uff0c\u4ee5\u53ca\u7c97\u7565\u5730\u63a2\u8a0e\u5176\u4ed6\u9075\u5b88\u985e\u4f3c\u65b9\u7a0b\u5f0f\u7684\u7cfb\u7d71\u5c55\u73fe\u7684\u7269\u7406\u73fe\u8c61\u8207\u61c9\u7528\u3002<\/p>\n

\u96fb\u78c1\u5b78\u8207\u76f8\u5c0d\u8ad6\u6559\u79d1\u66f8\u4e2d\u4e26\u4e0d\u4e4f\u6240\u8b02\u7684\u300c\u52de\u502b\u8332\u5148\u751f\u300d\uff0c\u5206\u5225\u662f L. Lorenz \u8207 H. Lorentz\u3002\u77e5\u540d\u96fb\u52d5\u529b\u5b78\u6559\u79d1\u66f8\u4f5c\u8005 J. D. Jackson \u66fe\u70ba\u6587\u8aaa\u660e\u96fb\u52d5\u529b\u5b78\u4e2d\u6240\u8b02\u52de\u502b\u8332\u898f\u7bc4 (Lorenz gauge) \u662f\u4ee5\u524d\u8005\u70ba\u540d\uff0c\u4f46\u8a31\u591a\u6559\u79d1\u66f8\u5e38\u8aa4\u690d\u6210\u5f8c\u8005\uff0c\u4e43\u81f3\u65bc\u4eca\u65e5\u7684\u8a31\u591a\u5b78\u8005\u4ea6\u5e38\u6df7\u6dc6\u3002\u800c\u6df7\u6c8c\u73fe\u8c61\u7684\u52de\u502b\u8332\u5247\u53c8\u53e6\u6709\u5176\u4eba\uff0c\u662f\u751f\u65bc 20 \u4e16\u7d00\u7684 E. Lorenz \uff0c\u4e3b\u653b\u6c23\u8c61\u5b78\u8207\u61c9\u7528\u6578\u5b78\u3002<\/p>\n

\u4f4d\u65bc\u98a8\u707d\u7684\u71b1\u5340\uff0c\u81fa\u7063\u5c0d\u65bc\u6c23\u8c61\u79d1\u5b78\u7684\u5be6\u7528\u6027\u7406\u61c9\u6613\u6709\u6df1\u523b\u7684\u9ad4\u8a8d\u3002\u9019\u4e9b\u6c23\u5019\u7684\u8b8a\u5316\u53ef\u4ee5\u8996\u70ba\u7a7a\u6c23\u3001\u6c34\u7b49\u6d41\u9ad4\u7684\u4ea4\u4e92\u4f5c\u7528\uff0c\u4e5f\u56e0\u6b64\u53ef\u4ee5\u900f\u904e\u6d41\u9ad4\u529b\u5b78\u4f86\u7814\u7a76\u4e00\u4e9b\u7c21\u55ae\u7684\u6a21\u578b\uff0c\u5728\u52de\u502b\u8332\u7684\u6587\u7ae0\u4e2d\uff0c\u4ed6\u5c07\u539f Saltzman\u00a0 \u7684\u6d41\u9ad4\u5c0d\u6d41\u6a21\u578b\u7c21\u5316\u6210\u4e09\u500b\u5e38\u5fae\u5206\u65b9\u7a0b\u5f0f\uff0c\u4ea6\u5373\u9673\u6559\u6388\u5728\u6f14\u8b1b\u4e2d\u6240\u5c55\u793a\u7684\u52de\u502b\u8332\u65b9\u7a0b\u7d44\u3002<\/p>\n

\u25cf\u52de\u502b\u8332\u65b9\u7a0b\u7d44<\/strong><\/span><\/p>\n

\"Lorenz<\/p>\n

\u5728\u9019\u908a\u6211\u5011\u518d\u4e00\u6b21\u8aaa\u660e\u4e0d\u540c\u8b8a\u91cf\u4ee3\u8868\u7684\u610f\u7fa9\uff1aX \u6b63\u6bd4\u65bc\u5c0d\u6d41\u7684\u5f37\u5ea6\u3001Y \u4ee3\u8868\u4e0a\u5347\u8207\u4e0b\u964d\u6d41\u9ad4\u9593\u7684\u6eab\u5ea6\u5dee\u3001Z \u7684\u610f\u7fa9\u6bd4\u8f03\u4e0d\u662f\u90a3\u9ebc\u767d\u8a71\uff0c\u5b83\u53ef\u4ee5\u8996\u70ba\u5c0d\u65bc\u4e00\u7a2e\u7d66\u5b9a\u6eab\u5ea6\u5206\u4f48\u7684\u504f\u96e2\u7a0b\u5ea6\u3002\u56e0\u800c\u7b2c\u4e00\u500b\u65b9\u7a0b\u5f0f\u8aaa\u660e\u6d41\u9ad4\u7684\u5f37\u5ea6\u5982\u4f55\u88ab\u81ea\u8eab\u7684\u9ecf\u6eef\u529b\u8207\u71b1\u5c0d\u6d41\u5f71\u97ff\uff1b\u7b2c\u4e8c\u8207\u7b2c\u4e09\u500b\u65b9\u7a0b\u5f0f\u5247\u8aaa\u660e Y \u8207 Z \u9019\u5169\u7a2e\u6eab\u5ea6\u5982\u4f55\u56e0\u5f7c\u6b64\u7684\u71b1\u5c0e\u8207\u6d41\u9ad4\u651c\u5e36\u71b1\u91cf\u7684\u95dc\u4fc2\u800c\u8b8a\u5316\u3002<\/p>\n

\u52de\u502b\u8332\u8b49\u660e\u4e86\u9019\u7d44\u65b9\u7a0b\u5f0f\u7684\u89e3\u6703\u96c6\u4e2d\u5728\u76f8\u7a7a\u9593<\/a>\uff08\u6b64\u8655\u53ef\u7406\u89e3\u6210 (X, Y, Z) \u7d44\u6210\u7684\u7a7a\u9593\uff09\u5167\u67d0\u500b\u5340\u57df\uff0c\u4e26\u4e14\u627e\u5230\u4e86\u5e7e\u7d44\u975c\u614b\u89e3\uff0c\u5982 X = Y = Z = 0\u3002\u4f46\u9019\u6a23\u7684\u89e3\u986f\u7136\u4e0d\u662f\u6211\u5011\u9700\u8981\u7684\uff0c\u5c0d\u65bc\u975e\u9031\u671f\u6027\u7684\u89e3\uff0c\u52de\u502b\u8332\u6307\u51fa\u4ed6\u5011\u90fd\u4e0d\u7a69\u5b9a\u3002\u4e5f\u5c31\u662f\u8aaa\uff0c\u6211\u5011\u9078\u53d6\u76f8\u5dee\u4e0d\u591a\u7684\u521d\u59cb\u72c0\u614b\uff0c\u7d93\u6b77\u4e00\u6bb5\u6642\u9593\u5f8c\uff0c\u7d50\u679c\u4e5f\u6703\u5927\u76f8\u5f91\u5ead\u3002\u900f\u904e\u9019\u9ede\u53ef\u4ee5\u63a8\u8ad6\uff0c\u5373\u4f7f\u52de\u502b\u8332\u65b9\u7a0b\u5f0f\u53ef\u4ee5\u7528\u4f86\u6a21\u64ec\u5929\u6c23\u7684\u6f14\u5316\uff0c\u6211\u5011\u4e5f\u9700\u8981\u6574\u500b\u4e16\u754c\u7684\u5b8c\u6574\u8cc7\u8a0a\uff08\u7121\u9650\u7cbe\u6e96\u7684\u521d\u59cb\u4f4d\u7f6e\u3001\u901f\u5ea6\u7b49\uff09\uff0c\u624d\u6709\u5be6\u969b\u7684\u9810\u6e2c\u80fd\u529b\uff0c\u9019\u4e5f\u662f\u70ba\u4ec0\u9ebc\u4e00\u96bb\u8774\u8776\u6427\u52d5\u7fc5\u8180\uff0c\u90fd\u53ef\u80fd\u5c0d\u672a\u4f86\u9020\u6210\u5de8\u5927\u7684\u5f71\u97ff\u3002<\/p>\n

\u73fe\u4ee3\u8a31\u591a\u96fb\u8166\u8edf\u9ad4\u90fd\u6709\u80fd\u529b\u7e6a\u88fd\u52de\u502b\u8332\u65b9\u7a0b\u7684\u89e3\uff0c\u63a1\u7528\u8ddf\u539f\u6587\u4e00\u6a23\u7684\u53c3\u6578\uff0c\u4e26\u8003\u616e X(0) = Z(0)=1\uff0cY(0) = 1 \u6216 1.1 \u5169\u7d44\u521d\u59cb\u689d\u4ef6\uff0c\u6211\u7e6a\u88fd\u4e86\u4ee5\u4e0b\u4e09\u5716\uff0c\u5716 1 \u662f Y \u5c0d\u65bc\u6642\u9593\u00a0 t \u4f5c\u5716\uff0c\u6211\u5011\u767c\u73fe\u7576 t \u5728 0 \u548c 20 \u4e4b\u9593\u6642\uff0c\u5169\u7d44 Y \u4e26\u6c92\u6709\u986f\u8457\u7684\u5dee\u5225\uff0c\u7136\u5f8c\u4e4b\u5f8c\u5b83\u5011\u4e4b\u9593\u7684\u95dc\u4fc2\u4fbf\u5e7e\u4e4e\u662f\u7121\u8de1\u53ef\u5c0b\u4e86\uff0c\u6839\u64da\u9019\u500b\u7dda\u7d22\uff0c\u6211\u7e6a\u88fd\u4e86\u5716 2\uff0c\u7576 t \u5728 20 \u8ddf 25 \u4e4b\u9593\u5169\u7d44 (X, Y, Z) \u7684\u6f14\u5316\u60c5\u6cc1\uff0c\u5f88\u660e\u986f\u5728 t = 25 \u6642\uff0c\u5b83\u5011\u5728\u76f8\u7a7a\u9593\u4e2d\u4e26\u4e0d\u9760\u8fd1\uff0c\u4e5f\u5c31\u662f\u82e5\u6211\u5011\u7684\u521d\u59cb\u689d\u4ef6\u8207\u5927\u81ea\u7136\u7684\u771f\u5be6\u72c0\u6cc1\u6709 10 % \u7684\u8aa4\u5dee\uff0c\u5728 20 \u500b\u6642\u9593\u55ae\u4f4d\u5f8c\uff0c\u4eba\u985e\u7684\u89e3\u5c31\u5931\u53bb\u4e86\u9810\u6e2c\u7684\u529b\u91cf\u3002\u5716 3 \u5247\u662f\u8003\u616e\u4f46\u4e00\u7d44 (X, Y, Z) \u5728\u7a7a\u9593\u4e2d\u7684\u8ecc\u8de1\uff0c\u4e00\u5982\u524d\u8a00\uff0c\u9019\u4e9b\u89e3\u6703\u88ab\u4fb7\u9650\u5728\u76f8\u7a7a\u9593\u4e2d\u7684\u5340\u57df\uff0c\u800c\u9019\u500b\u5716\u6a23\u5373\u662f\u6709\u540d\u7684\u52de\u502b\u8332\u5438\u5b50\uff08Lorenz attractor\uff09\u3002\u5728\u5438\u5b50\u65c1\u908a\u7684\u8ecc\u8de1\uff0c\u5118\u7ba1\u6df7\u4e82\u7121\u5e8f\uff0c\u537b\u7e3d\u662f\u6703\u5f80\u9019\u500b\u5438\u5b50\u9760\u8fd1\u3002<\/p>\n

\"\u5716\u4e00\"
\u5716\u4e00<\/figcaption><\/figure>\n

 <\/p>\n

\"\u53f3\u5716\u70ba\u5716\u4e8c\uff1b\u5de6\u5716\u70ba\u5716\u4e09\"<\/a>
\u53f3\u5716\u70ba\u5716\u4e8c\uff1b\u5de6\u5716\u70ba\u5716\u4e09<\/figcaption><\/figure>\n

 <\/p>\n

\u5118\u7ba1\u6cbf\u8457\u6642\u9593\u7684\u8ecc\u8de1\u770b\u4f3c\u96dc\u4e82\u7121\u7ae0\uff0c\u4f46\u9019\u500b\u7cfb\u7d71\u5728\u7a7a\u9593\u4e2d\u7684\u6620\u5c04\u537b\u6709\u898f\u5f8b\u800c\u6709\u8da3\u7684\u6027\u8cea\u3002\u5728\u5716 4 \u4e2d\u6211\u8003\u616e\u67d0\u6bb5\u6642\u9593\u5167\u7684 (X, Y, Z) \u8ecc\u8de1\u8207\u7a7a\u9593\u4e2d X-Y \u7684\u67d0\u4e00\u500b\u622a\u9762\uff0c\u5728\u622a\u9762\u4e0a\u6709\u4e9b\u9ede\u88ab\u8ecc\u8de1\u7a7f\u904e\uff0c\u90a3\u554f\u984c\u662f\uff1a\u67d0\u4e00\u500b\u622a\u9ede\u6cbf\u8457\u8ecc\u8de1\u904b\u52d5\u4e0b\u4e00\u6b21\u518d\u901a\u904e\u622a\u9762\u6642\uff0c\u6703\u843d\u5728\u54ea\u4e00\u500b\u5730\u65b9\u5462\uff1f\u9019\u6a23\u9ede\u8207\u9ede\u9593\u7684\u95dc\u806f\u5f62\u6210\u4e86\u4e00\u500b\u5f9e\u5e73\u9762\u5230\u5e73\u9762\u7684\u4e00\u500b\u6620\u5c04\uff0c\u4ee4\u4eba\u9a5a\u8c54\u7684\u662f\uff0c\u5c0d\u65bc\u67d0\u4e9b\u96c6\u5408\uff0c\u7d93\u904e\u4e00\u6b21\u7684\u6620\u5c04\u6703\u5206\u6210 2 \u500b\u5c0f\u96c6\u5408\uff0c\u5f9e\u800c\u5206\u6210 4 \u500b\u30018\u500b ......\uff0c\u6700\u7d42\u5f62\u6210\u4e00\u500b\u6240\u8b02 Cantor \u96c6\u7684\u96c6\u5408\uff0c\u4e00\u500b\u6df7\u6c8c\u7684\u7cfb\u7d71\u7adf\u860a\u542b\u4e86\u788e\u5f62\u7684\u6982\u5ff5\u3002<\/p>\n

\"\u5716\u56db\"
\u5716\u56db<\/figcaption><\/figure>\n

\u524d\u5169\u6bb5\u7d04\u7565\u5730\u8aaa\u660e\u4e86\u52de\u502b\u8332\u65b9\u7a0b\u7d44\uff0c\u90a3\u70ba\u4ec0\u9ebc\u8981\u7279\u5730\u5beb\u51fa\u65b9\u7a0b\u7d44\u4e26\u7814\u7a76\u5462\uff1f\u5b9a\u91cf\u79d1\u5b78\u7684\u4e00\u90e8\u4efd\u5de5\u4f5c\u5728\u65bc\u5efa\u69cb\u6a21\u578b\u5617\u8a66\u8aaa\u660e\u81ea\u7136\u73fe\u8c61\u3002\u7136\u800c\uff0c\u56f0\u96e3\u5230\u7121\u8de1\u53ef\u5c0b\u6216\u8005\u592a\u7c21\u55ae\u800c\u7121\u6cd5\u63a8\u8ad6\u4efb\u4f55\u73fe\u8c61\u7684\u6a21\u578b\u5be6\u7528\u610f\u7fa9\u90fd\u4e0d\u5927\u3002\u597d\u7684\u6a21\u578b\u5f80\u5f80\u8b1b\u6c42\u5408\u7406\u7684\u53ef\u89e3\u6027\uff0c\u8207\u9810\u6e2c\u57fa\u672c\u7269\u7406\u73fe\u8c61\u7684\u80fd\u529b\u3002\u4fbf\u5982\u5927\u90e8\u4efd\u7684\u8b80\u8005\u5728\u9ad8\u4e2d\u90fd\u5b78\u904e\u7c21\u8ae7\u904b\u52d5 (simple harmonic motion) \u610f\u7fa9\u5c31\u5728\u5728\u7dda\u6027\u7cfb\u7d71\u4e2d\u5b83\u662f\u7c21\u55ae\u53ef\u89e3\u7684\uff0c\u4e26\u4e14\u6293\u4f4f\u4e86\u9707\u76ea\u9019\u7a2e\u5e38\u898b\u73fe\u8c61\u7684\u795e\u9ad3\uff0c\u4ee5\u81f3\u65bc\u9ad8\u7b49\u7269\u7406\u5b78\u5176\u4ed6\u5206\u652f\u4e2d\u6211\u5011\u4e5f\u90fd\u5f9e\u7c21\u8ae7\u904b\u52d5\u7684\u985e\u6bd4\u958b\u59cb\u63a2\u8a0e\u3002<\/p>\n

\u540c\u7406\uff0c\u5c0d\u65bc\u79d1\u5b78\u5f9e\u696d\u4eba\u54e1\u800c\u8a00\uff0c\u52de\u502b\u8332\u65b9\u7a0b\u4e26\u4e0d\u662f\u4e00\u500b\u592a\u9762\u76ee\u53ef\u618e\u7684\u554f\u984c\uff08\u8209\u4f8b\u800c\u8a00\uff0c\u76f8\u8f03\u65bc\u9f90\u52a0\u840a\u7684\u4e09\u9ad4\u554f\u984c\uff0c\u986f\u7136\u9019\u500b\u65b9\u7a0b\u5f0f\u55ae\u7d14\u7684\u591a\u3002\uff09\u5176\u89e3\u537b\u5df2\u5c55\u793a\u4e86\u6df7\u6c8c\u9019\u7a2e\u6df1\u523b\u7684\u73fe\u8c61\uff0c\u56e0\u6b64\u6709\u4e9b\u6642\u5019\u6211\u5011\u53ef\u4ee5\u5c07\u5b83\u7576\u6210\u6df7\u6c8c\u7cfb\u7d71\u7684\u7c21\u8ae7\u904b\u52d5\u3002\u50cf\u662f\u9810\u6e2c\u5730\u78c1\u7ffb\u8f49\u7684\u73a9\u5177\u6a21\u578b\uff0c\u900f\u904e\u4e00\u4e9b\u8fd1\u4f3c\uff0c\u63cf\u8ff0\u8a72\u7cfb\u7d71\u7684\u65b9\u7a0b\u5f0f\u8207\u52de\u502b\u8332\u65b9\u7a0b\u4e26\u7121\u4e8c\u81f4\uff0c\u56e0\u800c\u4eba\u5011\u4fbf\u53ef\u4ee5\u900f\u904e\u73fe\u6709\u5c0d\u52de\u502b\u8332\u7cfb\u7d71\u7684\u4e86\u89e3\u5c0d\u5730\u78c1\u53cd\u8f49\u7684\u554f\u984c\u6709\u4e00\u4e9b\u7406\u89e3\u3002<\/p>\n

\u25cf<\/strong>\u63a5\u8457\u6211\u5011\u8981\u554f\uff0c\u4eba\u985e\u80fd\u61c9\u7528\u6df7\u6c8c\u55ce\uff1f
\n<\/span><\/strong>\u6df7\u6c8c\u7684\u8868\u8c61\u662f\u5f88\u4e82\u7684\uff0c\u4f46\u4eba\u985e\u751f\u6d3b\u4e5f\u4e0d\u4e4f\u9700\u8981\u6df7\u4e82\u7684\u5834\u5408\uff0c\u5982\u5728\u96fb\u8166\u79d1\u5b78\u7684\u904b\u7528\u4e2d\u6211\u5011\u5e38\u9700\u8981\u7522\u751f\u96a8\u6a5f\u4e82\u6578\uff0c\u5018\u82e5\u80cc\u5f8c\u7684\u6a5f\u5236\u6709\u4e00\u5b9a\u7684\u8108\u7d61\uff0c\u90a3\u4fbf\u4e0d\u662f\u96a8\u6a5f\u4e86\u3002\u9019\u7a2e\u900f\u904e\u6df7\u6c8c\u7522\u751f\u770b\u4f3c\u7121\u5e8f\u7684\u6620\u5c04\u751a\u81f3\u88ab\u61c9\u7528\u5230\u4e86\u97f3\u6a02\u7684\u7de8\u66f2\u4e0a\uff0c1995 \u5e74\u5de6\u53f3 MIT \u7684\u535a\u58eb\u751f Diana Dabby \u900f\u904e\u8d77\u59cb\u97f3\u8abf\u5c07\u6a02\u66f2\u5206\u6bb5\uff0c\u4e26\u914d\u5408\u52de\u502b\u8332\u65b9\u7a0b\u7684\u89e3\u5e8f\u5217\u7de8\u6392\u3002\u56e0\u70ba\u6b64\u7cfb\u7d71\u5c0d\u521d\u59cb\u689d\u4ef6\u6975\u70ba\u654f\u611f\uff0c\u7a0d\u5fae\u4e0d\u540c\u7684\u8d77\u59cb\u689d\u4ef6\u8b8a\u6210\u7522\u751f\u51fa\u76f8\u5dee\u6975\u5927\u7684\u7de8\u5e8f\uff0c\u7136\u800c\u5438\u5b50\u6b64\u8655\u626e\u6f14\u4e86\u539f\u66f2\u7684\u89d2\u8272\uff0c\u56e0\u6b64\u4e0d\u8ad6\u600e\u9ebc\u6f14\u5316\uff0c\u9084\u662f\u6703\u8da8\u5411\u539f\u66f2\u7684\u98a8\u683c\u3002Diana \u5c07\u9019\u6a23\u7684\u6620\u5c04\u6280\u5de7\u61c9\u7528\u5230\u4e86\u5df4\u54c8\u7684\u97f3\u6a02\u4e2d\uff0c\u7de8\u7e82\u4e86\u4e00\u7cfb\u5217\u300c\u7121\u4e00\u97f3\u7b26\u975e\u81ea\u5df4\u54c8\uff0c\u537b\u53c8\u7121\u4e00\u66f2\u8b5c\u81ea\u5df4\u54c8\u300d\u7684\u92fc\u7434\u4f5c\u54c1\u3002<\/p>\n

\u534a\u500b\u4e16\u7d00\u4ee5\u4f86\uff0c\u5f9e\u52de\u502b\u8332\u7576\u6642\u539f\u6587\u5c0d\u6c23\u8c61\u9810\u6e2c\u7121\u671b\u7684\u60b2\u89c0\u7d50\u8ad6\uff1b\u5230\u4eca\u65e5\uff0c\u4eba\u5011\u5df2\u53ef\u85c9\u7531\u6df7\u6c8c\u7cfb\u7d71\u52a0\u5bc6\u50b3\u8a0a\u4e43\u81f3\u7de8\u66f2\u6021\u60c5\uff0c\u6211\u5011\u7684\u78ba\u4e0d\u6e05\u695a\u725b\u9813\u662f\u5426\u8a8d\u77e5\u5230\u4e86\u6df7\u6c8c\u7684\u5b58\u5728\uff0c\u9051\u8ad6\u6697\u85cf\u5728\u6df7\u6c8c\u4e4b\u5167\u7684\u53ef\u80fd\u6027\uff0c\u4f46\u6216\u8a31\u5df2\u7d93\u9010\u6f38\u9ad4\u6703\u9019\u6a23\u7684\u53ef\u80fd\u6027\uff0c\u9084\u9060\u9060\u8d85\u4e4e\u60f3\u50cf\u3002<\/p>\n

\u53c3\u8003\u8cc7\u6599\uff1a<\/strong>
\n[1] E. Lorenz, Journal of the Atmospheric Science 20<\/strong> (2): 130-141 (1963).
\n[2] D. Dabby, Chaos 6<\/strong> (2): 95 (1996)<\/p>\n

--
\n\u672c\u6587\u6574\u7406\u81ea\uff1a105\/4\/16\u00a0<\/strong>\u7531\u9673\u7fa9\u88d5\u6559\u6388\u5728\u81fa\u5927\u601d\u4eae\u9928\u570b\u969b\u6703\u8b70\u5ef3\u6240\u4e3b\u8b1b\u4e4b\u300c\u52de\u502b\u8332\uff0c\u8774\u8776\uff0c\u4ee5\u53ca\u4ed6\u5011\u5171\u540c\u6380\u8d77\u7684\u6df7\u6c8c\u98a8\u66b4<\/a>\u300d\u6f14\u8b1b\u5167\u5bb9\u3002<\/strong><\/p>\n

 <\/p>\n

\"\u52a0\u5165\u597d\u53cb\"<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

\u8b1b\u5e2b\uff5c\u81fa\u5927\u7269\u7406\u7cfb \u9673\u7fa9\u88d5\u6559\u6388 \u64b0\u6587\uff5c\u856d\u7dad<\/p>\n","protected":false},"author":20,"featured_media":24476,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3293,2413],"tags":[2530,149,146,2111],"aioseo_notices":[],"jetpack_featured_media_url":"https:\/\/case.ntu.edu.tw\/blog\/wp-content\/uploads\/2016\/04\/15-3-Butterfly-effect.jpg","_links":{"self":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/24467"}],"collection":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/users\/20"}],"replies":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=24467"}],"version-history":[{"count":9,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/24467\/revisions"}],"predecessor-version":[{"id":32516,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/posts\/24467\/revisions\/32516"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=\/wp\/v2\/media\/24476"}],"wp:attachment":[{"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24467"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24467"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/case.ntu.edu.tw\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24467"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}