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作者:

Zhang, W. (Zhang, W..) (学者:张伟) | Yao, M. H. (Yao, M. H..) (学者:姚明辉)

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Scopus SCIE

摘要:

The aim of this survey paper is to illustrate the perspectives on the theories of the single- and multi-pulse global bifurcations and chaotic dynamics of high-dimensional nonlinear systems and applications to several engineering problems in the past two decades. Two main methods for studying the Shilnikov type multi-pulse homoclinic and heteroclinic orbits in high-dimensional nonlinear systems, which are the energy-phase method and generalized Melnikov method, are briefly demonstrated in the theoretical frame. In addition, the theory of normal form and an improved adjoint operator method for high-dimensional nonlinear systems is also applied to describe a reducing procedure to high-dimensional nonlinear systems. The aforementioned methods are utilized to investigate the Shilnikov type multi-pulse homoclinic bifurcations and chaotic dynamics for the nonlinear nonplanar oscillations of the cantilever beam subjected to a harmonic axial excitation and two transverse excitations at the free end. How to employ these methods to analyze the Shilnikov type multi-pulse homoclinic and heteroclinic bifurcations and chaotic dynamics of high-dimensional nonlinear systems in engineering applications is demonstrated through this example.

关键词:

cantilever beam chaotic dynamics Generalized Melnikov method Shilnikov type multi-pulse global bifurcations the energy-phase method theory of normal form

作者机构:

  • [ 1 ] [Zhang, W.]Beijing Univ Technol, Coll Mech Engn, Beijing 100022, Peoples R China
  • [ 2 ] [Yao, M. H.]Beijing Univ Technol, Coll Mech Engn, Beijing 100022, Peoples R China

通讯作者信息:

  • 张伟

    [Zhang, W.]Beijing Univ Technol, Coll Mech Engn, Beijing 100022, Peoples R China

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来源 :

INTERNATIONAL JOURNAL OF MODERN PHYSICS B

ISSN: 0217-9792

年份: 2008

期: 24

卷: 22

页码: 4089-4141

1 . 7 0 0

JCR@2022

ESI学科: PHYSICS;

JCR分区:4

被引次数:

WoS核心集被引频次: 25

SCOPUS被引频次: 27

ESI高被引论文在榜: 0 展开所有

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