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作者:

Jiang, Lishuang (Jiang, Lishuang.) | Li, Jing (Li, Jing.) (学者:李静) | Zhang, Wei (Zhang, Wei.) (学者:张伟)

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Scopus SCIE

摘要:

In this paper, the bifurcations and chaos dynamics of a hyperjerk system with antimonotonicity are investigated via the analytical methods and numerical calculations. We discuss the local stabilities of equilibrium points and its bifurcations depending on parameters. The predicted bifurcations of periodic orbits including flip bifurcation, fold bifurcation and symmetry-breaking bifurcation are investigated. The accurate relations between parameters are established to identify the type of bifurcation appearing in system efficiently. Such simple system has very abundant dynamical behaviors, including period-doubling cascades route to chaos, intermittency regime, antimonotonicity and boundary crisis. The coexisting dynamics is confirmed effectively by using basins of attraction, bifurcation diagram, Lyapunov exponent spectrum and phase portraits. The research reveals the richness and complexity of potential stable states to which this chaotic hyperjerk system can evolve and offers flexibility in realization of various applications including secure communications.

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作者机构:

  • [ 1 ] [Jiang, Lishuang]Beijing Univ Technol, Fac Sci, Interdisciplinary Res Inst, Beijing 100124, Peoples R China
  • [ 2 ] [Li, Jing]Beijing Univ Technol, Fac Sci, Interdisciplinary Res Inst, Beijing 100124, Peoples R China
  • [ 3 ] [Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Fac Mat & Mfg, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China

通讯作者信息:

  • 李静

    [Li, Jing]Beijing Univ Technol, Fac Sci, Interdisciplinary Res Inst, Beijing 100124, Peoples R China

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来源 :

EUROPEAN PHYSICAL JOURNAL PLUS

ISSN: 2190-5444

年份: 2020

期: 9

卷: 135

3 . 4 0 0

JCR@2022

ESI学科: PHYSICS;

ESI高被引阀值:100

被引次数:

WoS核心集被引频次: 11

SCOPUS被引频次: 16

ESI高被引论文在榜: 0 展开所有

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