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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.
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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