| The Existence of Silnikov''''s Orbik in Four-dimensional Duffing''''s Systems |
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| 引用本文： | Wei Li,Peng-cheng XuBeijing University of Chemical Technology & Academy of Mathematics and Systems Science,ChineseAcademy of Sciences,Beijing 100029,ChinaAcademy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080,China. The Existence of Silnikov''''s Orbik in Four-dimensional Duffing''''s Systems[J]. 应用数学学报(英文版), 2003, 0(4) |
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| 作者姓名： | Wei Li Peng-cheng XuBeijing University of Chemical Technology & Academy of Mathematics and Systems Science ChineseAcademy of Sciences Beijing 100029 ChinaAcademy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100080 China |
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| 作者单位： | Wei Li，Peng-cheng XuBeijing University of Chemical Technology & Academy of Mathematics and Systems Science，ChineseAcademy of Sciences，Beijing 100029，ChinaAcademy of Mathematics and Systems Science，Chinese Academy of Sciences，Beijing 100080，China |
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| 基金项目： | Supported by National Key Basic Research Special Foundation (No.G1998020307)，the Youth Foundation of BUCT (No.QN0138). |
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| 摘 要： | Abstract The existence of Silnikov's orbits in a four-dimensional dynamical system is discussed.The exis-tence of Silnikov's orbit resulting in chaotic dynamics is established by the fiber structure of invariant manifoldand high-dimensional Melnikov method.Numerical simulations are given to demonstrate the theoretical analysis.
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The Existence of Silnikov''''s Orbit in Four-dimensional Duffing''''s Systems |
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| Wei Li,Peng-cheng XuBeijing University of Chemical Technology , Academy of Mathematics and Systems Science,ChineseAcademy of Sciences,Beijing ,ChinaAcademy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing ,China. The Existence of Silnikov''''s Orbit in Four-dimensional Duffing''''s Systems[J]. Acta Mathematicae Applicatae Sinica, 2003, 0(4) |
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| Authors: | Wei Li Peng-cheng XuBeijing University of Chemical Technology & Academy of Mathematics Systems Science ChineseAcademy of Sciences Beijing ChinaAcademy of Mathematics Systems Science Chinese Academy of Sciences Beijing China |
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| Affiliation: | Wei Li,Peng-cheng XuBeijing University of Chemical Technology & Academy of Mathematics and Systems Science,ChineseAcademy of Sciences,Beijing 100029,ChinaAcademy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080,China |
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| Abstract: | 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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| Keywords: | Silnikov's abit Duffing's systems Melnikov method |
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