Random perturbations of parametric autoresonance

DOI10.1007/S11071-017-3625-8zbMath1377.93138OpenAlexW2708058231MaRDI QIDQ1687354

O. A. Sultanov

Publication date: 29 December 2017

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-017-3625-8

zbMATH Keywords

stability analysisnonlinear systemrandom perturbationautoresonance

Mathematics Subject Classification ID

Perturbations in control/observation systems (93C73) Asymptotic stability in control theory (93D20) Stochastic stability in control theory (93E15)

Related Items (1)

Capture into parametric autoresonance in the presence of noise

Cites Work

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• Stability of autoresonance models
• Existence of solutions entering at a singular point of an autonomous system having a formal solution
• The autoresonance threshold in a system of weakly coupled oscillators
• The capture into parametric autoresonance
• Passage through a separatrix in a resonance problem with a slowly-varying parameter
• Captures into resonance and scattering on resonance in dynamics of a charged relativistic particle in magnetic field and electrostatic wave
• Stability of regime-switching stochastic differential equations
• Stability of nondissipative systems under persistent random perturbations
• Stability of autoresonance models subject to random perturbations for systems of nonlinear oscillation equations
• RESONANT INTERACTION OF CHARGED PARTICLES WITH ELECTROMAGNETIC WAVES
• Asymptotic analysis of autoresonance models

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