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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.
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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
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SCOPUS Cited Count:
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 2