Parametric instability of linear oscillators with colored time-dependent noise

Felix M Izrailev; V. Dossetti-Romero; A. A. Krokhin; L. Tessieri

doi:10.1117/12.547588

25 May 2004 Parametric instability of linear oscillators with colored time-dependent noise

Felix M Izrailev, V. Dossetti-Romero, A. A. Krokhin, L. Tessieri

Proceedings Volume 5471, Noise in Complex Systems and Stochastic Dynamics II; (2004) https://doi.org/10.1117/12.547588
Event: Second International Symposium on Fluctuations and Noise, 2004, Maspalomas, Gran Canaria Island, Spain

Abstract

The goal of this paper is to discuss the link between the quantum phenomenon of Anderson localization on the one hand, and the parametric instability of classical linear oscillators with stochastic frequency on the other. We show that these two problems are closely related to each other. On the base of analytical and numerical results we predict under which conditions colored parametric noise suppresses the instability of linear oscillators.

Citation Download Citation

Felix M Izrailev, V. Dossetti-Romero, A. A. Krokhin, and L. Tessieri "Parametric instability of linear oscillators with colored time-dependent noise", Proc. SPIE 5471, Noise in Complex Systems and Stochastic Dynamics II, (25 May 2004); https://doi.org/10.1117/12.547588

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