Stability for a damped nonlinear oscillator

DOI10.1016/J.NA.2004.08.027zbMath1071.34049OpenAlexW2053073962MaRDI QIDQ707224

Cristian Vladimirescu, Gheorghe Morosanu

Publication date: 9 February 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.08.027

zbMATH Keywords

oscillatoruniform stabilityasymptotic stability

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (6)

Large time behavior of solutions to a system of coupled nonlinear oscillators via a generalized form of Schauder-Tychonoff fixed point theorem ⋮ On the existence of periodic solution and the transition to chaos of Rayleigh-Duffing equation with application of gyro dynamic ⋮ Limits of solutions to a nonlinear second-order ODE ⋮ Stability for a system of two coupled nonlinear oscillators with partial lack of damping ⋮ An existence result for homoclinic solutions to a nonlinear second-order ODE through differential inequalities ⋮ Stability for systems of 1-D coupled nonlinear oscillators

Cites Work

• Ordinary differential equations in \(R^ n\). Problems and methods. Transl. from the Italian by A. LoBello
• Precise damping conditions for global asymptotic stability for nonlinear second order systems
• Precise damping conditions for global asymptotic stability for nonlinear second order systems. II
• Asymptotic Stability for Intermittently Controlled Nonlinear Oscillators
• Integral conditions on the asymptotic stability for the damped linear oscillator with small damping
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