FOUR LIMIT CYCLES FROM PERTURBING QUADRATIC INTEGRABLE SYSTEMS BY QUADRATIC POLYNOMIALS

DOI10.1142/S0218127412502549zbMath1258.34062arXiv1002.1055OpenAlexW2963427501MaRDI QIDQ4907065

Pei Yu, Mao'an Han

Publication date: 1 March 2013

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

Full work available at URL: https://arxiv.org/abs/1002.1055

zbMATH Keywords

limit cycleHopf bifurcationMelnikov functionHilbert's 16th problemreversible systemPoincaré bifurcationquadratic near-integrable system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) 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)

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