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author:

Jia, Man (Jia, Man.) [1] | Su, Youfeng (Su, Youfeng.) [2] (Scholars:苏友峰) | Chen, Hebai (Chen, Hebai.) [3]

Indexed by:

EI Scopus SCIE

Abstract:

This paper is concerned with the global dynamics of a continuous planar piecewise linear differential system with three zones, where the dynamic of the one of the exterior linear zones is saddle and the remaining one is anti-saddle. We give all global phase portraits in the Poincare disc and the complete bifurcation diagram including boundary equilibrium bifurcation curves, degenerate boundary equilibrium bifurcation curves, homoclinic bifurcation curves and double limit cycle bifurcation curves. Its application in a second-order memristor oscillator is shown. Finally, some numerical phase portraits are demonstrated to illustrate our theoretical results.

Keyword:

Bifurcation Global phase portrait Homoclinic loop Limit cycle Piecewise linear system

Community:

  • [ 1 ] [Jia, Man]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350116, Fujian, Peoples R China
  • [ 2 ] [Jia, Man]Fuzhou Univ, Sch Math & Stat, Fuzhou 350116, Fujian, Peoples R China
  • [ 3 ] [Su, Youfeng]Fuzhou Univ, Coll Comp & Date Sci, Fuzhou 350116, Fujian, Peoples R China
  • [ 4 ] [Chen, Hebai]Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China

Reprint 's Address:

  • [Su, Youfeng]Fuzhou Univ, Coll Comp & Date Sci, Fuzhou 350116, Fujian, Peoples R China;;

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Source :

NONLINEAR DYNAMICS

ISSN: 0924-090X

Year: 2022

Issue: 4

Volume: 111

Page: 3539-3573

5 . 6

JCR@2022

5 . 2 0 0

JCR@2023

ESI Discipline: ENGINEERING;

ESI HC Threshold:66

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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