Cyclicity of \((1,3)\)-switching FF type equilibria

DOI10.3934/dcdsb.2019153zbMath1430.34053OpenAlexW2963541065MaRDI QIDQ2326643

Xingwu Chen, Jaume Llibre, Wei Nian Zhang

Publication date: 10 October 2019

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2019153

zbMATH Keywords

limit cycleHopf bifurcationdiscontinuous differential systemcyclicity

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)

Related Items (4)

Limit Cycles of a Class of Discontinuous Piecewise Differential Systems Separated by the Curve y = xn Via Averaging Theory ⋮ Bifurcation of limit cycles from a parabolic-parabolic type critical point in a class of planar piecewise smooth quadratic systems ⋮ Non-equivalence between the Melnikov and the averaging methods for nonsmooth differential systems ⋮ On the number of limit cycles of planar piecewise smooth quadratic systems with focus-parabolic type critical point

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