On the limit cycles for a class of discontinuous piecewise cubic polynomial differential systems

DOI10.14232/ejqtde.2020.1.25zbMath1463.34140OpenAlexW3017149804MaRDI QIDQ4968989

Bo Huang

Publication date: 2 October 2020

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/ejqtde.2020.1.25

zbMATH Keywords

periodic orbitscenterlimit cycleaveraging methodpiecewise differential systems

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) Averaging method for ordinary differential equations (34C29) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Discontinuous ordinary differential equations (34A36) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (3)

An algorithmic approach to small limit cycles of nonlinear differential systems: the averaging method revisited ⋮ Unnamed Item ⋮ Limit cycles of 3-dimensional discontinuous piecewise differential systems formed by linear centers

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