Stability of the autoresonance in a dissipative system

DOI10.1134/S1061920816010052zbMath1344.34065OpenAlexW2319621721MaRDI QIDQ2629313

Leonid A. Kalyakin

Publication date: 6 July 2016

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920816010052

zbMATH Keywords

Lyapunov functionasymptotic solutionpower seriesasymptotic behavior of the exact solution

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (1)

Asymptotical stability of the motion of mechanical systems with partial energy dissipation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability of autoresonance models
• Autoresonant asymptotics in an oscillating system with weak dissipation
• Stability of regime-switching stochastic differential equations
• Existence theorems and estimates of solutions for equations of principal resonance
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• Differentiable solutions to degenerate systems of ordinary equations
• Asymptotic analysis of autoresonance models

This page was built for publication: Stability of the autoresonance in a dissipative system