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Author:

Wei, Zhouchao (Wei, Zhouchao.) | Moroz, Irene (Moroz, Irene.) | Wang, Zhen (Wang, Zhen.) | Sprott, Julien Clinton (Sprott, Julien Clinton.) | Kapitaniak, Tomasz (Kapitaniak, Tomasz.)

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Scopus SCIE

Abstract:

To understand the complex dynamics of Kingni-Jafari system with hidden attractors, the first objective of this paper is to study the global dynamics, and give a complete description of the dynamics of Kingni-Jafari system at infinity by using the Poincare compactification of a polynomial vector field in R-3. The second objective of this paper is to prove the existence of periodic solutions in the Kingni-Jafari system by classical Hopf bifurcation and degenerate Hopf bifurcation. Moreover, based on averaging theory, a small amplitude periodic solution that bifurcates from a zero-Hopf equilibrium was derived in the Kingni-Jafari system. The theoretical analysis and simulations demonstrate the rich dynamics of the system.

Keyword:

Hopf bifurcation dynamics at infinity Kingni-Jafari system zero-Hopf bifurcation hidden attractor

Author Community:

  • [ 1 ] [Wei, Zhouchao]China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China
  • [ 2 ] [Wei, Zhouchao]Tech Univ Lodz, Div Dynam, Stefanowskiego 1-15, PL-90924 Lodz, Poland
  • [ 3 ] [Kapitaniak, Tomasz]Tech Univ Lodz, Div Dynam, Stefanowskiego 1-15, PL-90924 Lodz, Poland
  • [ 4 ] [Wei, Zhouchao]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 5 ] [Wei, Zhouchao]Univ Oxford, Math Inst, Oxford OX2 6GG, England
  • [ 6 ] [Moroz, Irene]Univ Oxford, Math Inst, Oxford OX2 6GG, England
  • [ 7 ] [Wang, Zhen]Xijing Univ, Dept Appl Sci, Xian 710123, Peoples R China
  • [ 8 ] [Sprott, Julien Clinton]Univ Wisconsin, Dept Phys, 1150 Univ Ave, Madison, WI 53706 USA

Reprint Author's Address:

  • [Wei, Zhouchao]China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China;;[Wei, Zhouchao]Tech Univ Lodz, Div Dynam, Stefanowskiego 1-15, PL-90924 Lodz, Poland;;[Wei, Zhouchao]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China;;[Wei, Zhouchao]Univ Oxford, Math Inst, Oxford OX2 6GG, England

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Source :

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

ISSN: 0218-1274

Year: 2016

Issue: 7

Volume: 26

2 . 2 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:71

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 41

SCOPUS Cited Count: 50

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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