Noise-correlation-time-mediated localization in random nonlinear dynamical systems
chao-dyn
2009-10-31 v1 adap-org
Statistical Mechanics
Adaptation and Self-Organizing Systems
Chaotic Dynamics
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.
Cite
@article{arxiv.chao-dyn/9903015,
title = {Noise-correlation-time-mediated localization in random nonlinear dynamical systems},
author = {Juan L. Cabrera and J. Gorro~nogoitia and F. J. de la Rubia},
journal= {arXiv preprint arXiv:chao-dyn/9903015},
year = {2009}
}
Comments
4 pages, 5 figures, Accepted in Phys. Rev. Lett