Lyapunov stability for conservative systems with lower degrees of freedom

DOI10.3934/dcdsb.2011.16.423zbMath1230.37071OpenAlexW2315185170MaRDI QIDQ717893

Jifeng Chu, Jinzhi Lei, Meirong Zhang

Publication date: 10 October 2011

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2011.16.423

zbMATH Keywords

Lyapunov stabilityperiodic solutionHill equationtwist coefficientErmakov-Pinney equationplanar Hamiltonian systemLagrangian equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Dynamical aspects of twist maps (37E40)

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Prevalence of stable periodic solutions for Duffing equations ⋮ Lyapunov stability of elliptic periodic solutions of nonlinear damped equations

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