The perturbation of a class of hyper-elliptic Hamilton system with a double eight figure loop

DOI10.1007/s12346-016-0194-zzbMath1384.37079OpenAlexW2311882596MaRDI QIDQ1697722

Jihua Yang, Lincheng Zhao

Publication date: 20 February 2018

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-016-0194-z

zbMATH Keywords

Chebyshev systemabelian integraldouble-eight figure loop

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)

Cites Work

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