| 受外部周期激励的弱阻尼受迫KdV方程的吸引子 |
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| 引用本文： | 刘玉荣,刘曾荣,郑永爱,Liu Yu-rong,LIU Zeng-rong,ZHENG Yong-ai.受外部周期激励的弱阻尼受迫KdV方程的吸引子[J].上海大学学报(英文版),2000,4(3):194-196. |
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| 作者姓名： | 刘玉荣 刘曾荣 郑永爱 Liu Yu-rong LIU Zeng-rong ZHENG Yong-ai |
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| 作者单位： | LIU Yu rong 1，LIU Zeng rong 2，ZHENG Yong ai 2 1. Department of Mathematics，Suzhou University，Suzhou 215006，China 2. College of Sciences，Shanghai University，Shanghai 201800，China |
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| 摘 要： | 1 Ｉｎｔｒｏｄｕｃｔｉｏｎ Ｉｎｔｈｅｐａｓｔｄｅｃａｄｅｏｒｓｏ ,ｔｈｅｅｘｉｓｔｅｎｃｅｏｆｇｌｏｂａｌａｔ ｔｒａｃｔｏｒｓａｎｄｔｈｅｅｓｔｉｍａｔｅｓｏｆｔｈｅｉｒＨａｕｓｄｏｒｆｆａｎｄｆｒａｃｔａｌｄｉｍｅｎｓｉｏｎｓｈａｖｅｂｅｅｎｉｎｖｅｓｔｉｇａｔｅｄｆｏｒｎｕｍｅｒｏｕｓｄｉｓｓｉｐａ ｔｉｖｅｎｏｎｌｉｎｅａｒｐａｒｔｉａｌｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓｗｈｉｃｈａｒｅａｕ ｔｏｎｏｍｏｕｓ1～ 4 ].Ｔｈｅｎｏｎ ａｕｔｏｎｏｍｏｕｓｉｎｆｉｎｉｔｅ ｄｙｎａｍｉ…
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| 收稿时间： | 29 May 2000 |
Attractors of weakly damped forced KdV equations with external periodic excitation |
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| Yu-rong Liu,Zeng-rong Liu,Yong-ai Zheng.Attractors of weakly damped forced KdV equations with external periodic excitation[J].Journal of Shanghai University(English Edition),2000,4(3):194-196. |
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| Authors: | Yu-rong Liu Zeng-rong Liu Yong-ai Zheng |
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| Institution: | 1. Department of Mathematics, Suzhou University, Suzhou 215006, China
2. College of Sciences, Shanghai University, Shanghai 201800, China |
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| Abstract: | Consider the KdV equations with the external periodic excitation u
t+uu
x+u
xxx+γu=f(t), with f(t+T)=f(t). Prove the existence of attractors of resulting discrete semigroup |S(Ʈ+mT)|m∈N. |
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| Keywords: | KdV equation external periodic excitation attractor |
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