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The existence of Silnikov’s orbits in one coupled Duffing equation

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【作者】 李威井竹君徐彭城

【Author】 LI Wei JING Zhujun &. XU Pengcheng1. Beijing University of Chemical Technology, Institute of Mathematics, Chinese Academy of Sciences, Beijing 100029, China;2. Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, China;3. Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, China.

【机构】 Beijing University of Chemical Technology, Institute of Mathematics, Chinese Academy of Sciences,Institute of Mathematics, Chinese Academy of Sciences,Institute of Applied Mathematics, Chinese Academy of Sciences Beijing 100029, China, Beijing 100080, China, Beijing 100080, China.

【摘要】 <正> The existence of Silnikov’s orbits in one coupled Duffing equation is discussed by using the fiber structure of invariant manifold and high-dimensional Melnikov’s method. Example and numerical simulation results are also given to demonstrate the theoretical analysis.

【Abstract】 The existence of Silnikov’s orbits in one coupled Duffing equation is discussed by using the fiber structure of invariant manifold and high-dimensional Melnikov’s method. Example and numerical simulation results are also given to demonstrate the theoretical analysis.

【基金】 This work was supported by the National Key Basic Research Special Fund (No. G.1998020304).
  • 【文献出处】 Science in China,Ser.A ,中国科学A辑(英文版) , 编辑部邮箱 ,2003年01期
  • 【分类号】O175
  • 【被引频次】3
  • 【下载频次】72
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