Isochronicity of analytic systems via Urabe's criterion

DOI10.1088/1751-8113/40/10/007zbMath1119.34027OpenAlexW2017047260MaRDI QIDQ3427267

A. Raouf Chouikha, Xingwu Chen, Valery G. Romanovski

Publication date: 16 March 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/40/10/007

zbMATH Keywords

center

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

Isochronicity conditions for some planar polynomial systems ⋮ Isochronicity conditions for some planar polynomial systems. II. ⋮ The cyclicity of the period annulus of the cubic isochronous center ⋮ An approach to solving systems of polynomials via modular arithmetics with applications ⋮ Comment on “Classification of Lie point symmetries for quadratic Liénard type equation ẍ + f(x) ẋ2 + g(x) = 0” [J. Math. Phys. 54, 053506 (2013)] ⋮ Generalization of Abel's mechanical problem: The extended isochronicity condition and the superposition principle ⋮ Complexity reduction of C-algorithm ⋮ Centers and isochronous centers of Newton systems with force function quadratic in velocities ⋮ Period function monotonicity of planar vector fields ⋮ Calculation of first integrals of a two-dimensional ODE system near a degenerate stationary point by computer algebra tools ⋮ Linearizability conditions of time-reversible cubic systems

This page was built for publication: Isochronicity of analytic systems via Urabe's criterion