On the number of limit cycles coming from a uniform isochronous center with continuous and discontinuous quartic perturbations

DOI10.1515/jaa-2023-0018MaRDI QIDQ6557956

Nabil Rezaiki, Amel Boulfoul

Publication date: 18 June 2024

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

zbMATH Keywords

isochronous centerlimit cycleaveraging theorycontinuous and discontinuous differential system

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)

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