Bifurcation of limit cycles by perturbing a class of hyper-elliptic Hamiltonian systems of degree five

DOI10.1016/j.jmaa.2013.06.073zbMath1332.34078OpenAlexW1965403281MaRDI QIDQ902111

Yanqin Xiong

Publication date: 7 January 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.06.073

zbMATH Keywords

Liénard systembifurcationHamiltonian system

Mathematics Subject Classification ID

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 of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

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