The Number of Limit Cycles for a Class of Cubic Systems with Multiple Parameters

DOI10.1142/S0218127422500729zbMath1504.34081OpenAlexW4224440731MaRDI QIDQ5072445

Meilan Cai, Mao'an Han

Publication date: 28 April 2022

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

Full work available at URL: https://doi.org/10.1142/s0218127422500729

zbMATH Keywords

bifurcationlimit cycleMelnikov functionmultiple parameters

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) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (1)

Melnikov analysis in a cubic system with a multiple line of critical points

Cites Work

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