Noise-Correlation-Time–Mediated Localization in Random Nonlinear Dynamical Systems
- 5 April 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 82 (14), 2816-2819
- https://doi.org/10.1103/PhysRevLett.82.2816
Abstract
We investigate the behavior of the residence times density function for different nonlinear dynamical systems with limit cycle behavior and perturbed parametrically with a colored noise. We present evidence that, underlying the stochastic resonancelike behavior with the noise correlation time, there is an effect of optimal localization of the system trajectories in the phase space. This phenomenon is observed in systems with different nonlinearities, suggesting a degree of universality.Keywords
This publication has 21 references indexed in Scilit:
- Stochastic resonanceReviews of Modern Physics, 1998
- Stochastic Resonance in a Neuronal Network from Mammalian BrainPhysical Review Letters, 1996
- Array Enhanced Stochastic Resonance and Spatiotemporal SynchronizationPhysical Review Letters, 1995
- Multiplicative stochastic resonancePhysical Review E, 1994
- Noise enhancement of information transfer in crayfish mechanoreceptors by stochastic resonanceNature, 1993
- Stochastic resonance without external periodic forcePhysical Review Letters, 1993
- Can colored noise improve stochastic resonance?Journal of Statistical Physics, 1993
- Periodically time-modulated bistable systems: Stochastic resonancePhysical Review A, 1989
- Stochastic resonance in a bistable systemPhysics Letters A, 1983
- The mechanism of stochastic resonanceJournal of Physics A: General Physics, 1981