Principal Poincaré Pontryagin function associated to some families of Morse real polynomials

DOI10.1088/0951-7715/27/2/257zbMath1293.34048arXiv1303.1729OpenAlexW3098587644MaRDI QIDQ5404834

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Publication date: 28 March 2014

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.1729

zbMATH Keywords

monodromyiterated integralssmall perturbationfirst return mapplanar polynomial system

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

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