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作者:

Wei, Zhouchao (Wei, Zhouchao.) | Sprott, J. C. (Sprott, J. C..) | Chen, Huai (Chen, Huai.)

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摘要:

This paper describes a class of third-order explicit autonomous differential equations, called jerk equations, with quadratic nonlinearities that can generate a catalog of nine elementary dissipative chaotic flows with the unusual feature of having a single non-hyperbolic equilibrium. They represent an interesting subclass of dynamical systems that can exhibit many major features of regular and chaotic motion. The proposed systems are investigated through numerical simulations and theoretical analysis. For these jerk dynamical systems, a certain amount of nonlinearity is sufficient to produce chaos through a sequence of period-doubling bifurcations. (C) 2015 Elsevier B.V. All rights reserved.

关键词:

Bifurcation diagram Jerk system Non-hyperbolic equilibrium Hidden attractor

作者机构:

  • [ 1 ] [Wei, Zhouchao]China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China
  • [ 2 ] [Wei, Zhouchao]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 3 ] [Wei, Zhouchao]Univ Oxford, Inst Math, Oxford OX1 3LB, England
  • [ 4 ] [Sprott, J. C.]Univ Wisconsin, Dept Phys, Madison, WI 53706 USA
  • [ 5 ] [Chen, Huai]China Univ Geosci, Fac Earth Sci, Wuhan 430074, Peoples R China

通讯作者信息:

  • [Wei, Zhouchao]China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China

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来源 :

PHYSICS LETTERS A

ISSN: 0375-9601

年份: 2015

期: 37

卷: 379

页码: 2184-2187

2 . 6 0 0

JCR@2022

ESI学科: PHYSICS;

ESI高被引阀值:190

JCR分区:2

中科院分区:3

被引次数:

WoS核心集被引频次: 81

SCOPUS被引频次: 80

ESI高被引论文在榜: 0 展开所有

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