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作者:

Wei, Zhouchao (Wei, Zhouchao.) | Zhang, Wei (Zhang, Wei.) (学者:张伟) | Yao, Minghui (Yao, Minghui.)

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EI Scopus SCIE

摘要:

This paper proposes a chaotic jerk system coexisting with only one non-hyperbolic equilibrium with one zero eigenvalue and a pair of complex conjugate eigenvalues. The system has no classical Hopf bifurcations and belongs to a newly category of chaotic systems. Based on the averaging theory, an analytic proof of the existence of zero-Hopf bifurcation is exhibited. Moreover, unstable periodic orbits from the zero-Hopf bifurcation are obtained. This approach may be useful to clarify chaotic attractors with non-hyperbolic equilibrium hidden behind complicated phenomena.

关键词:

Averaging theory Zero-Hopf bifurcation Jerk system Non-hyperbolic equilibrium Chaotic attractor

作者机构:

  • [ 1 ] [Wei, Zhouchao]China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China
  • [ 2 ] [Wei, Zhouchao]Univ Oxford, Math Inst, Oxford OX2 6GG, England
  • [ 3 ] [Wei, Zhouchao]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 4 ] [Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 5 ] [Yao, Minghui]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

通讯作者信息:

  • 张伟

    [Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

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来源 :

NONLINEAR DYNAMICS

ISSN: 0924-090X

年份: 2015

期: 3

卷: 82

页码: 1251-1258

5 . 6 0 0

JCR@2022

ESI学科: ENGINEERING;

ESI高被引阀值:174

JCR分区:1

中科院分区:2

被引次数:

WoS核心集被引频次: 77

SCOPUS被引频次: 79

ESI高被引论文在榜: 0 展开所有

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