The Maximal Number of Limit Cycles in a Family of Polynomial Systems

DOI10.1142/S0218127414500266zbMath1296.34079arXiv1111.0960MaRDI QIDQ3191089

Zhaoping Hu, Guanghui Xiang

Publication date: 23 September 2014

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

Full work available at URL: https://arxiv.org/abs/1111.0960

zbMATH Keywords

bifurcationlimit cycleMelnikov function

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)

Related Items (2)

The number of limit cycles in perturbations of polynomial systems with multiple circles of critical points ⋮ Bounding the Number of Zeros of Abelian Integral for a Class of Integrable non-Hamilton System

Cites Work

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