Limit cycle bifurcations in a planar piecewise quadratic system with multiple parameters

DOI10.1186/s13662-020-02827-2zbMath1485.34097OpenAlexW3042988321MaRDI QIDQ2114241

Shuhua Gong, Mao'an Han

Publication date: 15 March 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02827-2

zbMATH Keywords

limit cyclepiecewise smooth systemMelnikov function method

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

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