Limit Cycles Appearing From Piecewise Smooth Perturbations to a Reversible Nonlinear Center

DOI10.1142/S0218127421502503zbMath1496.34074OpenAlexW4200066376MaRDI QIDQ5064599

Dan Sun, Linping Peng

Publication date: 16 March 2022

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127421502503

zbMATH Keywords

averaging theorybifurcation of limit cyclecomplex methodpiecewise homogeneous polynomial perturbationreversible nonlinear center

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) 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)

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