Global dynamics of an asymmetry piecewise linear differential system: theory and applications

DOI10.1016/J.BULSCI.2020.102858zbMath1437.34036OpenAlexW3011400247MaRDI QIDQ2175195

Dongmei Xiao, Fengying Wei, Hebai Chen, Yong-Hui Xia

Publication date: 28 April 2020

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2020.102858

zbMATH Keywords

limit cyclesbifurcation diagramhomoclinic loopfigure-eight loopcontinuous piecewise linear systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Circuits in qualitative investigation and simulation of models (94C60)

Related Items (8)

Global dynamics of degenerate linear differential systems with symmetry and two parallel switching lines ⋮ Phase portraits of the discontinuous planar piecewise linear differential systems of focus-center type ⋮ Global studies on a continuous planar piecewise linear differential system with three zones ⋮ Global dynamics of a degenerate planar piecewise linear differential system with three zones ⋮ Unnamed Item ⋮ A degenerate planar piecewise linear differential system with three zones ⋮ Global Analysis of an Asymmetric Continuous Piecewise Linear Differential System with Three Linear Zones ⋮ Stability and Bifurcation in an SI Epidemic Model with Additive Allee Effect and Time Delay

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