The Number of Zeros of Abelian Integral for a Quintic Hamiltonian Systems With a Rose-Figure Loop

DOI10.1080/1726037X.2020.1774157zbMath1499.34227OpenAlexW3046621510MaRDI QIDQ5029614

Aiyong Chen, Huiyang Zhang

Publication date: 14 February 2022

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1726037x.2020.1774157

zbMATH Keywords

limit cyclesHamiltonian systemPicard-Fuchs equationabelian integrals

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) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

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