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On the multiple-attractor coexsting system with parameter uncertainties using generalized cell mapping method

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Abstract

In this paper the generalized cell mapping (GCM) method is used to study multiple-attractor coexisting system with parameter uncertainties. The effects that the uncertain parameters has on the global properties of the system are presented. And It is obtained that the attractor with much smaller value of protect thickness, will disappear firstly with the degree of the uncertainty of parameter increasing.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Xian Jiaotong University, 710049, Xian, P. R. China

    Gong Pulin & Xu Jianxue

Authors
  1. Gong Pulin
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  2. Xu Jianxue
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Additional information

Communicated by Liu Zengrong

Project supported by the National Natural Science Foundation of China (19672046)

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Pulin, G., Jianxue, X. On the multiple-attractor coexsting system with parameter uncertainties using generalized cell mapping method. Appl Math Mech 19, 1179–1187 (1998). https://doi.org/10.1007/BF02456639

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  • DOI: https://doi.org/10.1007/BF02456639

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