The period function for quadratic integrable systems with cubic orbits

DOI10.1016/j.jmaa.2004.07.022zbMath1068.34030OpenAlexW2049983336MaRDI QIDQ705259

Yulin Zhao

Publication date: 26 January 2005

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.2004.07.022

zbMATH Keywords

Abelian integralseparate items system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (11)

The cyclicity of a class of quadratic reversible system of genus one ⋮ Monotonicity of the period function for \(u-u+u^p=0\) with \(p\in \mathbb R\) and \(p>1\) ⋮ A criticality result for polycycles in a family of quadratic reversible centers ⋮ Algebraic and analytical tools for the study of the period function ⋮ A note on the period function for certain planar vector fields ⋮ The period function of the generalized Lotka-Volterra centers ⋮ The bifurcation set of the period function of the dehomogenized Loud's centers is bounded ⋮ On the period function of reversible quadratic centers with their orbits inside quartics ⋮ Criteria to bound the number of critical periods ⋮ The period function of reversible Lotka-Volterra quadratic centers ⋮ On the reversible quadratic centers with monotonic period function

Cites Work

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