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author:

Jia, M. (Jia, M..) [1] | Su, Y. (Su, Y..) [2] | Chen, H. (Chen, H..) [3]

Indexed by:

Scopus

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 Poincaré 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. © 2022, The Author(s), under exclusive licence to Springer Nature B.V.

Keyword:

Bifurcation Global phase portrait Homoclinic loop Limit cycle Piecewise linear system

Community:

  • [ 1 ] [Jia, M.]Center for Discrete Mathematics, Fuzhou University, Fujian, Fuzhou, 350116, China
  • [ 2 ] [Jia, M.]School of Mathematics and Statistics, Fuzhou University, Fujian, Fuzhou, 350116, China
  • [ 3 ] [Su, Y.]College of Computer and Date Science, Fuzhou University, Fujian, Fuzhou, 350116, China
  • [ 4 ] [Chen, H.]School of Mathematics and Statistics, HNP-LAMA, Central South University, Hunan, Changsha, 410083, China

Reprint 's Address:

  • [Su, Y.]College of Computer and Date Science, Fujian, China

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Related Keywords:

Source :

Nonlinear Dynamics

ISSN: 0924-090X

Year: 2023

Issue: 4

Volume: 111

Page: 3539-3573

5 . 2

JCR@2023

5 . 2 0 0

JCR@2023

ESI HC Threshold:35

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 0

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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