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author:

Pu, Jiao (Pu, Jiao.) [1] | Chen, Xiaofeng (Chen, Xiaofeng.) [2] | Chen, Hebai (Chen, Hebai.) [3] | Xia, Yong-Hui (Xia, Yong-Hui.) [4]

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EI

Abstract:

In [Chen et al., 2020], the third author and other coauthors studied global dynamics of the following system: 'Equation Presented' in the parameter region {(b1,b2,b3,b4) ∈ 4: b2 0,b4 ≠ 0} in this paper. Firstly, we study the local dynamics, such as the bifurcations of equilibria (including the equilibrium at infinity). Secondly, the number and stability of limit cycles are studied completely. Then, we analyze the existence of upper and lower saddle connections and homoclinic loops. Moreover, we show that there are no heteroclinic loops in this parameter region. Finally, we give the bifurcation diagram and all global phase portraits on the Poincaré disc are given as well as some numerical examples. © 2021 World Scientific Publishing Company.

Keyword:

Bifurcation (mathematics) Linear systems Piecewise linear techniques

Community:

  • [ 1 ] [Pu, Jiao]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian; 350116, China
  • [ 2 ] [Chen, Xiaofeng]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian; 350116, China
  • [ 3 ] [Chen, Hebai]School of Mathematics and Statistics, Central South University, Changsha, Hunan; 410083, China
  • [ 4 ] [Xia, Yong-Hui]Department of Mathematics, Zhejiang Normal University, Jinhua; 321004, China

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Source :

International Journal of Bifurcation and Chaos

ISSN: 0218-1274

Year: 2021

Issue: 2

Volume: 31

2 . 4 5

JCR@2021

1 . 9 0 0

JCR@2023

ESI HC Threshold:36

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 4

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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