| Invariant tori for asymptotically linear impact oscillators |
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| 作者姓名： | QIAN Dingbian & SUN Xiying School of Mathematical Sciences Suzhou University Suzhou China Laboratory of Mathematics for Nonlinear Sciences Fudan University Shanghai China |
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| 作者单位： | QIAN Dingbian & SUN Xiying School of Mathematical Sciences，Suzhou University，Suzhou 215006，China; Laboratory of Mathematics for Nonlinear Sciences，Fudan University，Shanghai 200433，China |
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| 摘 要： | The existence of invariant tori and quasi-periodic solutions for asymptotically linear impact oscillators is proved by using the successor map and some generalized versions of the Moser's twist theorem.
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| 收稿时间： | 28 March 2005 |
| 修稿时间： | 1 September 2005 |
Invariant tori for asymptotically linear impact oscillators |
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| QIAN Dingbian & SUN Xiying School of Mathematical Sciences,Suzhou University,Suzhou ,China, Laboratory of Mathematics for Nonlinear Sciences,Fudan University,Shanghai ,China.Invariant tori for asymptotically linear impact oscillators[J].Science in China(Mathematics),2006,49(5):669-687. |
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| Authors: | QIAN Dingbian SUN Xiying |
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| Institution: | 1. School of Mathematical Sciences, Suzhou University, Suzhou 215006, China;Laboratory of Mathematics for Nonlinear Sciences, Fudan University, Shanghai 200433, China
2. School of Mathematical Sciences, Suzhou University, Suzhou 215006, China |
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| Abstract: | The existence of invariant tori and quasi-periodic solutions for asymptotically linear impact oscillators is proved by using the successor map and some generalized versions of the Moser's twist theorem. |
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| Keywords: | invariant tori boundedness of solutions quasi-periodic solution impact oscillator |
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