Journal ArticleDOI
When noise decreases deterministic diffusion
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TLDR
In this article, the influence of local and global dynamical noise on the residence time of an unstable state is analyzed, and optimal parameters for the stabilizing mechanisms are discussed in deterministic diffusion models.Abstract:
Dynamical noise, acting homogeneously in each time step, can enhance the stability of an unstable fixed point. However, if dynamical noise is added locally in state space, additional clear enhancement can be achieved, if this restriction is chosen properly. A systematic analysis of the influence of local and global dynamical noise on the residence time of an unstable state is presented, and optimal parameters for the stabilizing mechanisms are discussed. As a consequence, it is demonstrated that local dynamical noise can yield increased localization in deterministic diffusion models.read more
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Journal ArticleDOI
Nonlinear Relaxation Phenomena in Metastable Condensed Matter Systems
Bernardo Spagnolo,Claudio Guarcello,Luca Magazzù,Angelo Carollo,Dominique Persano Adorno,Davide Valenti +5 more
TL;DR: In this paper, the average escape time from these metastable states in the presence of Gaussian and correlated fluctuations is calculated, accounting for variations in the noise source intensity and the bias frequency.
Journal ArticleDOI
Stability measures in metastable states with Gaussian colored noise.
TL;DR: Two dynamical regimes characterized by weak and strong correlated noises, depending on the value of tau(c) with respect to the relaxation time of the system, are distinguished.
Journal ArticleDOI
Mean escape time in a system with stochastic volatility
TL;DR: It is found that the noise can have a stabilizing effect on the system, as long as the global noise is not too high with respect to the effective potential barrier experienced by a fictitious Brownian particle.
Journal ArticleDOI
Enhancement of stability in randomly switching potential with metastable state
TL;DR: In this article, a Brownian particle in randomly switching piecewise metastable linear potential shows noise enhanced stability (NES): the noise stabilizes the metastable system and the system remains in this state for a longer time than in the absence of white noise.
Journal ArticleDOI
Low-lying bifurcations in cavity quantum electrodynamics
Michael A. Armen,Hideo Mabuchi +1 more
TL;DR: In this paper, the authors present a computational study of elementary bifurcations that occur in a driven and damped cavity quantum electrodynamics (cavity QED) model at low intracavity photon number.
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