Stability for systems of 1-D coupled nonlinear oscillators

DOI10.1016/J.NONRWA.2020.103242zbMath1469.34055OpenAlexW3109514913MaRDI QIDQ2025397

Cristian Vladimirescu, Gheorghe Morosanu

Publication date: 14 May 2021

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2020.103242

zbMATH Keywords

uniform stabilityasymptotic stabilitycoupled oscillators

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Applications of operator theory to differential and integral equations (47N20) Differential inequalities involving functions of a single real variable (34A40) Nonautonomous smooth dynamical systems (37C60)

Related Items (2)

The existence and global stability of periodic solutions to coupled oscillators ⋮ Large time behavior of solutions to a system of coupled nonlinear oscillators via a generalized form of Schauder-Tychonoff fixed point theorem

Uses Software

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Cites Work

• Stability for a damped nonlinear oscillator
• Ordinary differential equations in \(R^ n\). Problems and methods. Transl. from the Italian by A. LoBello
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• Stability for a system of two coupled nonlinear oscillators with partial lack of damping
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• Asymptotic stability for ordinary differential systems with time-dependent restoring potentials
• Asymptotic stability of coupled oscillators with time-dependent damping
• ASYMPTOTIC STABILITY OF x″+a(t)x′+x=0
• Stability for a Nonlinear Second Order ODE
• 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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