Cyclicity of a Class of Hamiltonian Systems under Perturbations of Piecewise Smooth Polynomials

DOI10.1142/S0218127421501996zbMath1486.37032OpenAlexW3209114926WikidataQ114072992 ScholiaQ114072992MaRDI QIDQ5158812

Jinping Zhou, Jiaxin Wang, Lincheng Zhao

Publication date: 26 October 2021

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

Full work available at URL: https://doi.org/10.1142/s0218127421501996

zbMATH Keywords

Melnikov functionPicard-Fuchs equationChebyshev spacepiecewise smooth Hamiltonian system

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) 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) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

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