The monotonicity of the ratio of two hyperelliptic abelian integrals for a class of symmetric potential systems of degree eight

DOI10.1016/j.bulsci.2022.103130zbMath1498.37095OpenAlexW4220703727WikidataQ114202568 ScholiaQ114202568MaRDI QIDQ2123440

Yanyan Li

Publication date: 8 April 2022

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2022.103130

zbMATH Keywords

monotonicityasymptotic expansionHamiltonian systemhyperelliptic abelian integral

Mathematics Subject Classification ID

Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38)

Cites Work

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• Bifurcation of Limit Cycles in Small Perturbation of a Class of Liénard Systems
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