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Author:

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

Indexed by:

EI Scopus SCIE

Abstract:

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.

Keyword:

Bifurcation diagram Jerk system Non-hyperbolic equilibrium Hidden attractor

Author Community:

  • [ 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

Reprint Author's Address:

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

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Source :

PHYSICS LETTERS A

ISSN: 0375-9601

Year: 2015

Issue: 37

Volume: 379

Page: 2184-2187

2 . 6 0 0

JCR@2022

ESI Discipline: PHYSICS;

ESI HC Threshold:190

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 83

SCOPUS Cited Count: 82

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 12

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