Effect of multiplicative noise on parametric instabilities

DOI10.1016/S0167-2789(02)00684-XzbMath1076.70513MaRDI QIDQ1851372

Yanyan Li

Publication date: 16 December 2002

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

bifurcationFaraday instabilityelectronic oscillatorrandom bistable-state transitionsstatistical response

Mathematics Subject Classification ID

Random vibrations in mechanics of particles and systems (70L05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Interfacial stability and instability in hydrodynamic stability (76E17) Technical applications of optics and electromagnetic theory (78A55) Parametric resonances for nonlinear problems in mechanics (70K28)

Related Items (3)

Coherence and stochastic resonance in a periodic potential driven by multiplicative dichotomous and additive white noise ⋮ On the Moment Stability of Stochastic Parametrically Forced Equations with Rank One Forcing ⋮ Large-scale fluctuations and dynamics of the Bullard–von Kármán dynamo

Cites Work

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• Noise-induced transitions. Theory and applications in physics, chemistry, and biology
• On the theory of optimal control. Sufficient coordinates
• Gravity-capillary waves with edge constraints
• Study of the parametric oscillator driven by narrow-band noise to model the response of a fluid surface to time-dependent accelerations
• Critical Behavior of Random-Bond Potts Models
• The stability of the plane free surface of a liquid in vertical periodic motion

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