Limit cycles bifurcating from a perturbed quartic center

DOI10.1016/j.chaos.2011.02.009zbMath1231.34057OpenAlexW1969156705MaRDI QIDQ634905

Jaume Llibre, Bartomeu Coll, Rafel Prohens

Publication date: 17 August 2011

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150443

zbMATH Keywords

bifurcationlimit cyclepolynomial systemMelnikov function16-th Hilbert's problem

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 (21)

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Cites Work

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