Lyapunov stability of periodic solutions of Brillouin type equations

DOI10.1016/J.AML.2019.106057zbMath1436.34039OpenAlexW2975595645MaRDI QIDQ2338289

Shengjun Li, Feng Wang, Mirosława Zima, José Ángel Cid

Publication date: 21 November 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.106057

zbMATH Keywords

Lyapunov stabilityaveraging methodsingular modelstwist periodic solutionBrillouin equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Averaging method for ordinary differential equations (34C29) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Nonautonomous smooth dynamical systems (37C60)

Related Items (6)

Existence and stability of periodic oscillations of a smooth and discontinuous oscillator ⋮ Lyapunov stability of singular planarsystems related to dispersion-managedsolitons in optical fiber ⋮ Existence and uniqueness of periodic solutions for a class of higher order differential equations ⋮ An abstract averaging method with applications to differential equations ⋮ Radial stability of periodic orbits of damped Keplerian-like systems ⋮ Monotonicity of the period function and chaotic dynamics in a class of singular ODEs

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