| The Existence of Silnikov＇s Orbit in Four-dimensional Duffing＇s Systems |
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| 作者姓名： | WeiLi Peng-chengXu |
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| 作者单位： | [1]BeijingUniversityofChemicalTechnology＆AcademyofMathematicsandSystemsScience,ChineseAcademyofSciences,Beijing100029,China [2]AcademyofMathematicsandSystemsScience,ChineseAcademyofSciences,Beijing100080,China |
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| 摘 要： | The existence of Silnikov‘s orbits in a four-dimensional dynamical system is discussed. The existence of Silnikov‘s orbit resulting in chaotic dynamics is established by the fiber structure of invariant manifold and high-dimensional Melnikov method. Numerical simulations are given to demonstrate the theoretical analysis.
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| 关 键 词： | 存在性 Silnikov轨道 Duffing系统 混沌动力学 Melnikov法 不变流形 |
| 收稿时间： | 17 February 2002 |
The Existence of Silnikov's Orbit in Four-dimensional Duffing's Systems |
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| WeiLi Peng-chengXu.The Existence of Silnikov's Orbit in Four-dimensional Duffing's Systems[J].Acta Mathematicae Applicatae Sinica,2003,19(4):677-690. |
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| Authors: | Li Wei Xu Peng-cheng |
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| Institution: | (1) Beijing University of Chemical Technology & Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100029, China;(2) Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China |
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| Abstract: | Abstract
The existence of Silnikov s orbits in a four-dimensional
dynamical system is discussed. The existence of Silnikovs orbit
resulting in chaotic dynamics is established by the fiber
structure of invariant manifold and high-dimensional Melnikov
method. Numerical simulations are given to demonstrate the
theoretical analysis.Supported by National Key Basic Research Special
Foundation (No. G1998020307) and the Youth Foundation of BUCT
(No. QN0138). |
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| Keywords: | Silnikov s abit" target="_blank">gif" alt="rsquo" align="BASELINE" BORDER="0">s abit Duffings systems" target="_blank">gif" alt="rsquo" align="BASELINE" BORDER="0">s systems Melnikov method |
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