On the Chebyshev property of a class of hyperelliptic abelian integrals

DOI10.1007/s12346-024-01136-3MaRDI QIDQ6624353

Jiazhong Yang, Yangjian Sun, Shaoqing Wang

Publication date: 25 October 2024

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

zbMATH Keywords

polynomial Hamiltonian systemsweakened Hilbert 16th problemhyperelliptic abelian integralChebyshev property

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) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)

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