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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:

SCIE

Abstract:

This article concerns the global dynamics of a continuous planar piecewise linear differential system with three zones. We give global phase portraits in the Poincare disc and classify bifurcation diagrams under certain parametric conditions, when the dynamics of central linear zone is anti-saddle. Rich dynamical behaviors are demonstrated, from which we observe homoclinic loops appearing in three linear zones and limit cycles occurring in three linear zones which surround a node or node-focus.

Keyword:

bifurcation global phase portrait homoclinic loop invariant manifold limit cycle Piecewise linear system

Community:

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

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Source :

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

ISSN: 1072-6691

Year: 2023

Issue: 83

Volume: 2023

0 . 8

JCR@2023

0 . 8 0 0

JCR@2023

JCR Journal Grade:2

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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