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The existence of Silnikov’s orbits in one coupled duffing

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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.

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Authors and Affiliations

  1. Beijing University of Chemical Technology, Institute of Mathematics, Chinese Academy of Sciences, 100029, Beijing, China

    Wei Li

  2. Institute of Mathematics, Chinese Academy of Sciences, 100080, Beijing, China

    Zhujun Jing

  3. Institute of Applied Mathematics, Chinese Academy of Sciences, 100080, Beijing, China

    Pengcheng Xu

Authors
  1. Wei Li
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  2. Zhujun Jing
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  3. Pengcheng Xu
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Correspondence to Wei Li.

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Li, W., Jing, Z. & Xu, P. The existence of Silnikov’s orbits in one coupled duffing. Sci. China Ser. A-Math. 46, 11–23 (2003). https://doi.org/10.1360/03ys9002

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  • DOI: https://doi.org/10.1360/03ys9002

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