{"id":39256,"date":"2022-12-18T15:36:07","date_gmt":"2022-12-18T07:36:07","guid":{"rendered":"https:\/\/swarma.org\/?p=39256"},"modified":"2022-12-18T15:36:07","modified_gmt":"2022-12-18T07:36:07","slug":"%e6%b2%99%e5%8f%af%e5%a4%ab%e6%96%af%e5%9f%ba-%e4%bb%96%e4%b8%ba%e6%97%a0%e7%a9%b7%e5%a4%9a%e4%b8%aa%e5%87%bd%e6%95%b0%e5%91%a8%e6%9c%9f%e6%8e%92%e5%ba%8f","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=39256","title":{"rendered":"\u6c99\u53ef\u592b\u65af\u57fa\u2014\u2014\u4ed6\u4e3a\u65e0\u7a77\u591a\u4e2a\u51fd\u6570\u5468\u671f\u6392\u5e8f"},"content":{"rendered":"
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\uff08Oleksandr Mykolayovych Sharkovsky\uff0c1936\u5e7412\u67087\u65e5 \u2013 2022\u5e7411\u670821\u65e5\uff09\u5728\u6218\u706b\u548c\u65b0\u51a0\u7684\u53cc\u91cd\u521b\u4f24\u4e0b\u8f9e\u4e16\uff0c\u4eab\u5e7485\u5c81\u3002<\/strong><\/section>\n

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\u79bb\u6563\u6df7\u6c8c\u7406\u8bba\u6700\u8457\u540d\u7684\u5960\u57fa\u6027\u6570\u5b66\u539f\u7406\u5c31\u662f\u674e\u5929\u5ca9\u2013\u7ea6\u514b\u7684\u201c\u5468\u671f\u4e09\u610f\u5473\u7740\u6df7\u6c8c\u201d\u5b9a\u7406<\/span>\uff08T.-Y. Li and J. A. Yorke, \u201cPeriod three implies chaos\u201d, American Mathematical Monthly, 1975, 82: 985\u2013992\uff09<\/span>\u3002\u8fd9\u6761\u5b9a\u7406\u8bf4\u7684\u662f\u4e00\u4e2a\u4ece\u533a\u95f4\u5230\u533a\u95f4\u7684\u8fde\u7eed\u6620\u5c04\u5982\u679c\u6709\u5468\u671f3\u7684\u89e3\u7684\u8bdd\uff0c\u5b83\u5c31\u662f\u201c\u6df7\u6c8c\u201d\u7684\u3002\u5177\u4f53\u4e00\u70b9\u7684\u901a\u4fd7\u8868\u8ff0\u5982\u4e0b\uff1a<\/span><\/section>\n
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1975 \u5e74\uff0c\u7ea6\u514b\u5728\u5fb7\u56fd\u4e1c\u67cf\u6797\u4e3e\u884c\u7684\u201c\u7b2c\u4e03\u5c4a\u975e\u7ebf\u6027\u632f\u8361\u56fd\u9645\u4f1a\u8bae\u201d\u4e0a\u62a5\u544a\u4e86\u8fd9\u6761\u201c\u674e\u2013\u7ea6\u514b\u5b9a\u7406\u201d\u3002\u90a3\u6b21\u4f1a\u8bae\u662f\u5728Spree\u6cb3\u7684\u4e00\u6761\u8239\u4e0a\u4e3e\u529e\u7684\u3002\u5728\u8239\u4e0a\uff0c\u6c99\u53ef\u592b\u65af\u57fa\u53cb\u597d\u5730\u5bf9\u7ea6\u514b\u8bf4\uff1a\u4f60\u8fd9\u201c\u5468\u671f\u4e09\u610f\u5473\u7740\u6240\u6709\u5468\u671f\u201d\u7684\u7ed3\u8bba\u5440\uff0c\u6211\u5728\u5341\u5e74\u524d\u7684\u6587\u7ae0\u91cc\u5c31\u5df2\u7ecf\u8bc1\u660e\u4e86\uff0c\u800c\u4e14\u6211\u628a\u5176\u4e2d\u7684\u5468\u671f\u9690\u542b\u89c4\u5f8b\u90fd\u8bf4\u6e05\u695a\u4e86\u3002\u4e0d\u8fc7\uff0c\u6c99\u53ef\u592b\u65af\u57fa\u8bf4\u7684\u8bba\u6587\u662f\u7528\u4fc4\u6587\u53d1\u8868\u5728\u4e4c\u514b\u5170\u6570\u5b66\u6742\u5fd7\u4e0a\u7684<\/span>\uff08Co-existence of cycles of a continuous mapping of the line into itself, Ukrainian Mathematical Journal, 1964, 16: 61\u201371\uff09<\/span>\uff0c\u7ea6\u514b\u5f53\u7136\u65e0\u4ece\u77e5\u6653\u3002<\/span><\/section>\n
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\u6c99\u53ef\u592b\u65af\u57fa\u662f\u4ee5\u4ed6\u4e0a\u9762\u8fd9\u6761\u6570\u5b66\u5b9a\u7406\u95fb\u540d\u4e8e\u4e16\u7684\u3002<\/span><\/section>\n
\u4e0d\u8fc7\uff0c\u6c99\u53ef\u592b\u65af\u57fa\u7684\u8fd9\u4e2a\u7814\u7a76\u6210\u679c\u5e76\u975e\u4e00\u8e74\u800c\u5c31\u3002\u65e9\u57281960 \u5e74\uff0c\u5f53\u6c99\u53ef\u592b\u65af\u57fa\u8fd8\u662f\u4e2a\u5728\u8bfb\u7814\u7a76\u751f\u65f6\uff0c\u4ed6\u5c31\u7814\u7a76\u4e86\u8bf8\u5982  \u7684\u8fed\u4ee3\u8fc7\u7a0b\uff0c\u5e76\u603b\u7ed3\u8d77\u6765\u53d1\u8868\u4e86\u6587\u7ae0\u201c\u4e00\u7ef4\u8fed\u4ee3\u8fc7\u7a0b\u6536\u655b\u7684\u5145\u5206\u5fc5\u8981\u6761\u4ef6\u201d<\/span>\uff08Necessary and sufficient conditions for the convergence of one-dimensional iterative processes, Ukrainian Mathematical Journal, 1960, 12, no. 4\uff09<\/span>\uff0c\u8bc1\u660e\u4e86\u5728\u6240\u6709\u6307\u6807 <\/path><\/g><\/path><\/g><\/path><\/g><\/g><\/g><\/svg><\/span> \u65f6\u8fed\u4ee3\u5468\u671f\u7684\u6392\u5e8f\uff1a<\/path><\/g><\/path><\/g><\/path><\/g><\/path><\/g><\/path><\/g><\/g><\/g><\/svg><\/span>\u3002\u6b21\u5e74\uff0c\u4ed6\u53c8\u53d1\u8868\u4e86\u6587\u7ae0\u201c\u5355\u5b9e\u53d8\u91cf\u8fde\u7eed\u51fd\u6570\u7684\u53ef\u7ea6\u6027\u53ca\u5176\u76f8\u5e94\u8fed\u4ee3\u8fc7\u7a0b\u7a33\u6001\u70b9\u7684\u7ed3\u6784\u201d<\/span>\uff08The reducibility of a continuous function of a real variable and the structure of the stationary points of the corresponding iteration process, Dokl. Akad. Nauk SSSR, 1961, 139(5): 1067\u20131070\uff09<\/span>\uff0c\u8bc1\u660e\u4e86\u5728\u6307\u6807 <\/path><\/g><\/path><\/g><\/path><\/g><\/path><\/g><\/g><\/g><\/g><\/svg><\/span> \u65f6\u5bf9\u6240\u6709 <\/path><\/g><\/g><\/g><\/svg><\/span> \u7684\u8fed\u4ee3\u5468\u671f\u7684\u6392\u5e8f\uff1a<\/path><\/g><\/path><\/g><\/path><\/g><\/path><\/g><\/path><\/g><\/path><\/g><\/path><\/g><\/path><\/g><\/path><\/g><\/path><\/g><\/g><\/g><\/path><\/g><\/path><\/g><\/path><\/g><\/g><\/path><\/g><\/path><\/g><\/g><\/g><\/svg><\/span>\u3002\u800c\u4e0a\u9762\u6240\u8bf4\u7684\u90a3\u6761\u5b8c\u6574\u7684\u8457\u540d\u5b9a\u7406\uff0c\u662f\u4ed6 1962 \u5e74\u6295\u7a3f\u6700\u540e\u4e8e 1964 \u5e74\u6b63\u5f0f\u53d1\u8868\u7684\u3002<\/span><\/section>\n

\u56fe<\/span>2  \u5929\u6027\u4e50\u89c2\u7684\u6c99\u53ef\u592b\u65af\u57fa<\/span><\/p>\n

1967\u5e74\uff0c\u6c99\u53ef\u592b\u65af\u57fa\u7b2c\u4e00\u6b21\u51fa\u56fd\uff0c\u5230\u4e86\u6377\u514b\u9996\u90fd\u5e03\u62c9\u683c\u53c2\u52a0\u4e00\u4e2a\u5173\u4e8e\u975e\u7ebf\u6027\u632f\u8361\u7684\u56fd\u9645\u4f1a\u8bae\u3002\u4f1a\u4e0a\uff0c\u4ed6\u62a5\u544a\u4e86\u5bf9\u4e00\u7ef4\u5dee\u5206\u65b9\u7a0b <\/span><\/path><\/g><\/path><\/g><\/path><\/g><\/path><\/g><\/path><\/g><\/path><\/g><\/path><\/g><\/path><\/g><\/path><\/g><\/path><\/g><\/path><\/g><\/path><\/g><\/path><\/g><\/path><\/g><\/g><\/g><\/svg><\/span> \u7684\u7814\u7a76\uff0c\u5176\u4e2d\u4ecb\u7ecd\u4e86\u4e0a\u9762\u90a3\u6761\u5173\u4e8e\u4e0d\u540c\u5468\u671f\u7684\u5468\u671f\u89e3\u5171\u5b58\u548c\u6392\u5e8f\u7684\u5b9a\u7406\u3002\u4f1a\u8bae\u7ec4\u7ec7\u8005\u5728\u4f1a\u8bae\u8bba\u6587\u96c6\u53d1\u8868\u4e86\u51e0\u4e4e\u6240\u6709\u4e0e\u4f1a\u62a5\u544a\u7684\u5168\u6587\uff0c\u5374\u4ec5\u7528\u4e00\u9875\u7eb8\u4ee5\u6458\u8981\u5f62\u5f0f\u520a\u767b\u6c99\u53ef\u592b\u65af\u57fa\u7684\u62a5\u544a<\/span><\/span>\uff08Proc. 4th Conf. on Nonlinear Oscillations, Academia, Prague, 1968, p. 249\uff09<\/span>\u3002\u7ec4\u59d4\u4f1a\u8d1f\u8d23\u4eba\u5bf9\u4ed6\u89e3\u91ca\u8bf4\uff0c\u4f60\u90a3\u4e2a\u7ed3\u679c\u53ea\u662f\u57fa\u4e8e\u6700\u7b80\u5355\u5dee\u5206\u65b9\u7a0b\u7684\u9887\u4e3a\u5947\u602a\u7684\u81ea\u7136\u6570\u6392\u5e8f\uff0c\u5f88\u96be\u4e0e\u6df1\u523b\u7684\u975e\u7ebf\u6027\u632f\u8361\u7406\u8bba\u8054\u7cfb\u8d77\u6765\u3002\u800c\u4e8b\u5b9e\u4e0a\uff0c\u90a3\u4e2a\u65f6\u4ee3\u7684\u8bb8\u591a\u6570\u5b66\u5bb6\u5bf9\u4e00\u7ef4\u52a8\u529b\u7cfb\u7edf\u90fd\u5e26\u6709\u7c7b\u4f3c\u7684\u504f\u89c1\u3002\u4e8e\u662f\uff0c\u8fd9\u6761\u6f02\u4eae\u7684\u5b9a\u7406\u5c31\u50cf\u7761\u7f8e\u4eba\u4e00\u6837\u6c89\u7761\u4e86\u5341\u591a\u5e74\uff0c\u76f4\u5230\u6c99\u53ef\u592b\u65af\u57fa\u9047\u89c1\u7ea6\u514b\u4e4b\u540e\uff0c\u56e0\u4e3a\u5b83\u652f\u6301\u4e86\u79bb\u6563\u6df7\u6c8c\u7406\u8bba\uff0c\u624d\u5f15\u8d77\u6570\u5b66\u754c\u7684\u5e7f\u6cdb\u5174\u8da3\u548c\u5173\u6ce8\u3002<\/span><\/section>\n
<\/figure>\n
\u56fe3 \u6c99\u53ef\u592b\u65af\u57fa1964\u5e74\u8457\u540d\u8bba\u6587\uff08\u9996\u9875\uff09<\/span><\/figcaption>

<\/figcaption><\/figure>\n
\u6c99\u53ef\u592b\u65af\u57fa\u5b9a\u7406\u540e\u6765\u88ab\u7ffb\u8bd1\u4e3a\u82f1\u6587<\/span>\uff08P. Stefan, A theorem of Sharkovskii on the existence of periodic orbits of continuous endomorphisms of the real line, Commun. Math. Phys. 1977, 54, 237\u2013248\uff09<\/span>\u3002\u987a\u4fbf\u63d0\u53ca\uff0cSharkovsky ordering\u7684\u79f0\u8c13\uff0c\u9996\u5148\u51fa\u81ea\u5fb7\u56fd\u6570\u5b66\u5bb6 Peter Kloeden\u7684\u6587\u7ae0\u201c\u5173\u4e8e\u6c99\u53ef\u592b\u65af\u57fa\u5171\u5b58\u5468\u671f\u6392\u5e8f\u201d<\/span>\uff08On Sharkovsky\u2019s cycle coexistence ordering, Bull. Austral. Math. Soc., 1979, 20, 171\u2013177\uff09<\/span>\u3002<\/span><\/section>\n
1994\u5e746\u6708\uff0c\u6570\u5b66\u5bb6\u4eec\u5728\u897f\u73ed\u7259La Manga\u53ec\u5f00\u4e86\u9898\u4e3a\u201c\u6c99\u53ef\u592b\u65af\u57fa\u5b9a\u7406\u4e4b\u540e30\u5e74\uff1a\u65b0\u89c6\u89c9\u201d<\/span>\uff08Thirty years after Sharkovsky\u2019s theorem: New perspectives\uff09<\/span>\u7684\u56fd\u9645\u4f1a\u8bae\uff0c\u7279\u522b\u56de\u987e\u5e76\u8868\u5f70\u4e86\u6c99\u53ef\u592b\u65af\u57fa\u7684\u6770\u51fa\u8d21\u732e\u3002<\/span><\/section>\n

1995\u5e74\uff0c\u8457\u540d\u4fc4\u88d4\u7f8e\u56fd\u6570\u5b66\u5bb6Yakov G. Sinai \u5728\u4ed6\u7684\u4e13\u8457\u300a\u904d\u5386\u7406\u8bba\u7684\u73b0\u4ee3\u95ee\u9898\u300b<\/span>\uff08Modern Problems of Ergodic Theory\uff09<\/span>\u7b2c11\u7ae0\u201c\u6c99\u53ef\u592b\u65af\u57fa\u5e8f\u548c\u8d39\u6839\u9c8d\u59c6\u6570\u7684\u666e\u9002\u6027\u201d\u4e2d\u5199\u9053\uff1a\u201c\u5927\u7ea6 20 \u5e74\u524d\uff0c\u6211\u6301\u6709\u4e00\u79cd\u5e73\u5e38\u5fc3\u6001\uff0c\u8ba4\u4e3a\u4e00\u7ef4\u52a8\u529b\u7cfb\u7edf\u7684\u7ed3\u6784\u76f8\u5bf9\u7b80\u5355\uff0c\u53ef\u4ee5\u88ab\u5b8c\u5168\u7406\u89e3\uff1b\u6b64\u5916\uff0c\u5bf9\u4e00\u7ef4\u6210\u7acb\u7684\u8bba\u65ad\u4e00\u822c\u5728\u9ad8\u7ef4\u60c5\u5f62\u90fd\u6ca1\u6709\u7c7b\u4f3c\u7ed3\u679c\u3002\u4f46\u540e\u6765\u7684\u53d1\u5c55\u8868\u660e\uff0c\u8fd9\u4e24\u79cd\u770b\u6cd5\u90fd\u662f\u9519\u8bef\u7684\u3002\u4e00\u662f\u5728\u8fd9\u91cc\u53d1\u73b0\u4e86\u4ee4\u4eba\u60ca\u8bb6\u548c\u610f\u60f3\u4e0d\u5230\u7684\u65b0\u6a21\u5f0f\uff0c\u4e8c\u662f\u5176\u4e2d\u4e00\u4e9b\u7ed3\u679c\u53ef\u4ee5\u5f88\u81ea\u7136\u5730\u8f6c\u79fb\u5230\u4efb\u4f55\u7ef4\u5ea6\u7684\u6848\u4f8b\u4e2d\u201d\u3002<\/span><\/p>\n

\u56fe4  \u7ea6\u514b\u5728\u5e86\u795d\u6c99\u53ef\u592b\u65af\u57fa82\u5c81\u751f\u65e5\u5b66\u672f\u4f1a\u8bae\u4e0a\u53d1\u8a00<\/span><\/p>\n

\u6c99\u53ef\u592b\u65af<\/span>\u57fa\u6bd5\u751f\u7684\u6570\u5b66\u7814\u7a76\u96c6\u4e2d\u5728\u52a8\u529b\u7cfb\u7edf\u7406\u8bba\u3001\u5fae\u5206\u548c\u5dee\u5206\u65b9\u7a0b\u3001\u6570\u5b66\u7269\u7406\u548c\u62d3\u6251<\/span>\u5b66\u3002<\/span>\u6c99\u53ef\u592b\u65af\u57fa\u4e00\u751f\u53d1\u8868\u4e86\u7ea6250\u7bc7\u8bba\u6587\u548c7\u672c\u4e13\u8457\uff0c\u7559\u4e0b\u4e86\u4e0a\u9762\u63d0\u53ca\u7684\u8457\u540d<\/span>Shark<\/span>ovsky ordering, \u4ee5\u53caSharkovsky space, Sharkovsky set, Sharkovsky stratification, maximum period in the sense of Sharkovsky, \u7b49\u7b49\u3002<\/span>\u4ed6\u53d1\u5c55\u4e86\u4e00\u7ef4\u52a8\u529b\u7cfb\u7edf\u7684\u62d3\u6251\u7406\u8bba\u57fa\u7840\uff0c\u7814\u7a76\u4e86\u5404\u79cd\u70b9\u96c6\u5438\u5f15\u6d41\u57df\u7684\u62d3\u6251\u7ed3\u6784\uff0c\u5e76\u5efa\u7acb\u4e86\u52a8\u529b\u7cfb\u7edf\u7b80\u5355\u6027\u548c\u590d\u6742\u6027\u7684\u4e00\u4e9b\u5224\u522b\u6807\u51c6\u3002<\/span>\u4ed6\u5728\u4efb\u610f\u7d27\u96c6\u4e0a\u7684\u52a8\u529b\u7cfb\u7edf\u7684\u4e00\u822c\u7406\u8bba\u4e2d\u83b7\u5f97\u4e86\u4e00\u6279\u57fa\u672c\u7ed3\u679c\u3002<\/span>\u7279\u522b\u662f\uff0c\u4ed6\u8bc1\u660e\u4e86\u52a8\u529b\u7cfb\u7edf\u5438\u5f15\u5b50\u7684\u4e0d\u53ef\u538b\u7f29\u6027\u3002<\/span>\u4ed6\u8fd8\u63cf\u8ff0\u4e86\u51e0\u4e4e\u6240\u6709\u52a8\u529b\u7cfb\u7edf\u7684\u5168\u5c40\u7a33\u5b9a\u6027\u7c7b\u578b\uff0c\u5e76\u4e3a\u5177\u6709\u4e0d\u540c\u6e10\u8fd1\u7ebf\u7684\u8f68\u9053\u7ec4\u6210\u7684\u96c6\u5408\u7ed9\u51fa\u4e86\u7cbe\u786e\u7684\u754c\u9650\u63cf\u8ff0\u3002<\/span>\u66f4\u91cd\u8981\u7684\u662f\uff0c\u4ed6\u5f00\u521b\u4e86\u52a8\u529b\u7cfb\u7edf\u7406\u8bba\u7684\u4e00\u4e2a\u65b0\u65b9\u5411\uff1a<\/span>\u7ec4\u5408\u52a8\u529b\u5b66\u3002<\/span>\u6b64\u5916\uff0c\u4ed6\u8fd8\u7814\u7a76\u4e86\u6570\u5b66\u7269\u7406\u7684\u65e0\u9650\u7ef4\u52a8\u529b\u7cfb\u7edf\u548c\u975e\u7ebf\u6027\u8fb9\u503c\u95ee\u9898\uff0c\u5e76\u63d0\u51fa\u4e86\u4e00\u4e2a\u201c\u7406\u60f3\u6e4d\u6d41\u201d\u6982\u5ff5\uff0c\u7528\u786e\u5b9a\u6027\u6570\u5b66\u7cfb\u7edf\u6765\u6a21\u62df\u65f6\u95f4\u548c\u7a7a\u95f4\u4e2d\u590d\u6742\u7684\u6e4d\u6d41\u7279\u6027\u3002<\/span><\/p>\n

\u6c99\u53ef\u592b\u65af\u57fa\u6bd5\u751f\u57f9\u517b\u4e8617\u540d\u535a\u58eb\u5b66\u751f\u3002\u4ed6\u4eec\u7684\u7814\u7a76\u9886\u57df\u5206\u5e03\u5728\u52a8\u529b\u7cfb\u7edf\u7406\u8bba\u3001\u7a33\u5b9a\u6027\u7406\u8bba\u3001\u5fae\u5206\u548c\u5dee\u5206\u65b9\u7a0b\u7406\u8bba\u3001\u6cdb\u51fd\u5fae\u5206\u65b9\u7a0b\u7406\u8bba\u3001\u6570\u5b66\u7269\u7406\u8fb9\u503c\u95ee\u9898\u7b49\u65b9\u9762\u3002<\/span><\/section>\n

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\u6c99\u53ef\u592b\u65af\u57fa\u4e8e1936\u5e7412\u67087\u65e5\u51fa\u751f\u5728\u4e4c\u514b\u5170\u57fa\u8f85\uff0c\u81ea\u5c0f\u559c\u6b22\u6570\u5b66\u30021951\u5e74\uff0c\u4ed6\u5728\u4e2d\u5b66\u53c2\u52a0\u8fc7\u57fa\u8f85\u9752\u5e74\u6570\u5b66\u5bb6\u5965\u6797\u5339\u514b\u7ade\u8d5b\u5e76\u83b7\u4e00\u7b49\u5956\u30021953\u20131958\u5e74\uff0c\u4ed6\u8fdb\u5165\u4e86\u57fa\u8f85\u7684\u56fd\u7acbTaras Shevchenko\u5927\u5b66\uff0c\u5c31\u8bfb\u4e8e\u6570\u5b66\u529b\u5b66\u5b66\u9662\u3002\u6bd5\u4e1a\u540e\uff0c1958\u20131961\u5e74\u95f4\u4ed6\u5728\u57fa\u8f85\u7684\u4e4c\u514b\u5170\u79d1\u5b66\u9662\u6570\u5b66\u7814\u7a76\u6240\u8bfb\u7814\u7a76\u751f\u30021961\u5e74\uff0c\u4ed6\u4ee5\u9898\u4e3a\u201c\u4e00\u7ef4\u8fed\u4ee3\u8fc7\u7a0b\u7684\u82e5\u5e72\u7406\u8bba\u95ee\u9898\u201d<\/span>\uff08Some problems of the theory of one-dimensional iterative processes\uff09<\/span>\u7684\u6bd5\u4e1a\u8bba\u6587\u83b7\u535a\u58eb\u5b66\u4f4d\uff0c\u540e\u6765\u4e8e1967\u5e74\u4ee5\u201c\u5173\u4e8e\u79bb\u6563\u52a8\u529b\u7cfb\u7edf\u7684<\/path><\/g><\/g><\/g><\/svg><\/span>-\u6781\u9650\u96c6\u201d<\/span>\uff08On <\/path><\/g><\/g><\/g><\/svg><\/span>-limit sets of the discrete dynamical systems\uff09<\/span>\u4e3a\u9898\u7684\u535a\u58eb\u8bba\u6587\u83b7\u56fd\u5bb6\u79d1\u5b66\u535a\u58eb\u5b66\u4f4d\u3002<\/span><\/section>\n
\u6c99\u53ef\u592b\u65af\u57fa1961\u5e74\u83b7\u5f97\u535a\u58eb\u5b66\u4f4d\u4e4b\u540e\u6bd5\u751f\u90fd\u5728\u57fa\u8f85\u7684\u4e4c\u514b\u5170\u79d1\u5b66\u9662\u6570\u5b66\u7814\u7a76\u6240\u5de5\u4f5c\uff0c\u76f4\u81f3\u79bb\u4e16\u3002\u671f\u95f4\uff0c1964\u20131983 \u5e74\u30011999\u20132000\u5e74\u4ee5\u53ca 2014\u5e74\u4e4b\u540e\uff0c\u4ed6\u4e5f\u5728\u6bcd\u6821\u56fd\u7acbTaras Shevchenko\u5927\u5b66\u517c\u4efb\u6570\u5b66\u6559\u6388\u3002\u6c99\u53ef\u592b\u65af\u57fa\u5728\u4e4c\u514b\u5170\u79d1\u5b66\u9662\u6570\u5b66\u7814\u7a76\u6240\u5de5\u4f5c\u671f\u95f4\uff0c\u4e8e1974\u20131987\u5e74\u62c5\u4efb\u5fae\u5206\u65b9\u7a0b\u7814\u7a76\u5ba4\u4e3b\u4efb\u30011987\u20132017\u5e74\u62c5\u4efb\u52a8\u529b\u7cfb\u7edf\u7406\u8bba\u7814\u7a76\u5ba4\u4e3b\u4efb\u30022017\u5e74\u4ed680\u5c81\u6b63\u5f0f\u9000\u4f11\uff0c\u6210\u4e3a\u8363\u4f11\u8d44\u6df1\u7814\u7a76\u5458\u3002<\/span><\/section>\n
\u56fe5  \u5e74\u8f7b\u6559\u5e08\u6c99\u53ef\u592b\u65af\u57fa\uff081969\uff09<\/span><\/figcaption><\/figure>\n
\u6c99\u53ef\u592b\u65af\u57fa1978\u5e74\u88ab\u9009\u4e3a\u4e4c\u514b\u5170\u79d1\u5b66\u9662\u901a\u8baf\u9662\u58eb\uff0c2006\u5e74\u6210\u4e3a\u6b63\u5f0f\u9662\u58eb\u3002\u4ed6\u83b7\u5f97\u7684\u4e3b\u8981\u8363\u8a89\u5305\u62ec\uff1a<\/span><\/section>\n