LIMIT CYCLE BIFURCATIONS IN DISCONTINUOUS PLANAR SYSTEMS WITH MULTIPLE LINES

DOI10.11948/20190274zbMath1457.34050OpenAlexW3019000221MaRDI QIDQ5858014

Yanqin Xiong, Mao'an Han

Publication date: 9 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/20190274

zbMATH Keywords

periodic orbitMelnikov functiondiscontinuous planar systemlimit cycle, bifurcation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

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The number of limit cycles by perturbing a piecewise linear system with three zones, Limit Cycles Bifurcating from a Periodic Annulus in Discontinuous Planar Piecewise Linear Hamiltonian Differential System with Three Zones, Limit cycle bifurcations of near-Hamiltonian systems with multiple switching curves and applications, Unnamed Item, Limit cycle bifurcations of planar piecewise differential systems with three zones, Persistence of periodic solutions from discontinuous planar piecewise linear Hamiltonian differential systems with three zones

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