On the number of zeros of Abelian integral for a class of cubic Hamiltonian systems

DOI10.1080/14689367.2019.1574716zbMath1440.34035OpenAlexW2911448129MaRDI QIDQ5240655

Jihua Yang

Publication date: 29 October 2019

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2019.1574716

zbMATH Keywords

Hamiltonian systemPicard-Fuchs equationabelian integralChebyshev space

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) 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)

Related Items (1)

The study on cyclicity of a class of cubic systems

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