Capture into parametric autoresonance in the presence of noise

DOI10.1016/j.cnsns.2019.03.022OpenAlexW4297908537WikidataQ128204186 ScholiaQ128204186MaRDI QIDQ2206502

O. A. Sultanov

Publication date: 22 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.06352

zbMATH Keywords

stabilityLyapunov functionstochastic perturbationautoresonance

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Stability for nonlinear problems in mechanics (70K20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items

Bifurcations in Asymptotically Autonomous Hamiltonian Systems Subject to Multiplicative Noise ⋮ Long-Term Behaviour of Asymptotically Autonomous Hamiltonian Systems with Multiplicative Noise ⋮ On the partial stability problem for nonlinear discrete-time stochastic systems ⋮ Autoresonance in oscillating systems with combined excitation and weak dissipation

Cites Work

• Stability of autoresonance models
• Synchronization in a nonisochronous nonautonomous system
• Existence of solutions entering at a singular point of an autonomous system having a formal solution
• The capture into parametric autoresonance
• Random perturbations of parametric autoresonance
• Stability of regime-switching stochastic differential equations
• Stability of capture into parametric autoresonance
• Capture into resonance and escape from it in a forced nonlinear pendulum
• Asymptotic analysis of autoresonance models
• Stochastic differential equations. An introduction with applications.
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