At most two limit cycles in a piecewise linear differential system with three zones and asymmetry

DOI10.1016/J.PHYSD.2018.08.004zbMath1415.34041OpenAlexW2888072112WikidataQ129339998 ScholiaQ129339998MaRDI QIDQ2001043

Hebai Chen, Yilei Tang

Publication date: 1 July 2019

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2018.08.004

zbMATH Keywords

Liénard systemlimit cyclehyperbolicitypiecewise linear system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Discontinuous ordinary differential equations (34A36)

Related Items (11)

Global dynamics of an asymmetry piecewise linear differential system: theory and applications ⋮ Global studies on a continuous planar piecewise linear differential system with three zones ⋮ Generalized Hopf bifurcation of a non-smooth railway wheelset system ⋮ Unnamed Item ⋮ A proof of Euzébio-Pazim-Ponce's conjectures for a degenerate planar piecewise linear differential system with three zones ⋮ Canard Limit Cycles for Piecewise Linear Liénard Systems with Three Zones ⋮ Topological classifications of a piecewise linear Liénard system with three zones ⋮ A degenerate planar piecewise linear differential system with three zones ⋮ Bifurcation of limit cycles in a piecewise smooth near-integrable system ⋮ Limit cycle bifurcations of planar piecewise differential systems with three zones ⋮ Global Analysis of an Asymmetric Continuous Piecewise Linear Differential System with Three Linear Zones

Cites Work

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• Introduction to the Qualitative Theory of Differential Systems
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