Stability of autoresonance models subject to random perturbations for systems of nonlinear oscillation equations

DOI10.1134/S0965542514010126zbMath1313.34155MaRDI QIDQ2940352

O. A. Sultanov

Publication date: 26 January 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Lyapunov functionsrandom perturbationsautoresonancesystems of nonlinear oscillation equations

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Ordinary differential equations and systems with randomness (34F05) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (5)

Random perturbations of autoresonance in oscillating systems with small dissipation ⋮ Stability of capture into parametric autoresonance ⋮ Random perturbations of parametric autoresonance ⋮ Conditions for Phase Locking and Dephasing of Autoresonant Pumping ⋮ Stochastic perturbations of stable dynamical systems: trajectory-wise approach

Cites Work

• Stability of autoresonance models
• Existence of solutions entering at a singular point of an autonomous system having a formal solution
• The capture into parametric autoresonance
• Theory and applications of stochastic processes. An analytical approach
• Stability of nondissipative systems under persistent random perturbations
• Asymptotic behavior of solutions of equations of main resonance
• Asymptotic analysis of autoresonance models
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