New criteria for the monotonicity of the ratio of two abelian integrals

DOI10.1016/j.jmaa.2018.04.074zbMath1439.34038OpenAlexW2801534390MaRDI QIDQ1635584

Changjian Liu, Guoting Chen, Zhongqin Sun

Publication date: 31 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.04.074

zbMATH Keywords

number of zerosplanar systemsabelian integrals

Mathematics Subject Classification ID

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

The monotonicity of the ratio of two hyperelliptic abelian integrals for a class of symmetric potential systems of degree eight ⋮ The smallest upper bound on the number of zeros of abelian integrals ⋮ Cyclicity of period annulus for a class of quadratic reversible systems with a nonrational first integral ⋮ A proof of a Dumortier-Roussarie's conjecture ⋮ The Poincaré bifurcation of a SD oscillator

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