The period function of potential systems of polynomials with real zeros

DOI10.1016/j.bulsci.2009.05.002zbMath1191.34055OpenAlexW2052324824MaRDI QIDQ843109

Xian Wu Zeng, Li-Jun Yang

Publication date: 29 September 2009

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

Full work available at URL: https://doi.org/10.1016/j.bulsci.2009.05.002

zbMATH Keywords

period functionperiod annuluspotential system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items (9)

Monotonicity of the period function for \(u-u+u^p=0\) with \(p\in \mathbb R\) and \(p>1\) ⋮ Isolated periodic wave trains and local critical wave lengths for a nonlinear reaction-diffusion equation ⋮ The cyclicity of period annuli of a class of quintic Hamiltonian systems ⋮ The period functions' higher order derivatives ⋮ New lower bound for the number of critical periods for planar polynomial systems ⋮ A note on the period function for certain planar vector fields ⋮ The monotonicity and critical periods of periodic waves of the \(\varphi^{6}\) field model ⋮ On the isochronous center of planar piecewise polynomial potential systems ⋮ ON THE MAXIMUM NUMBER OF PERIOD ANNULI FOR SECOND ORDER CONSERVATIVE EQUATIONS

Cites Work

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