Noise-correlation-time-mediated localization in random nonlinear dynamical systems

Details Noise-correlation-time-mediated localization in random nonlinear dynamical systems Noise-correlation-time-mediated localization in random nonlinear dynamical systems

1999-03-10

arxiv.org/abs/chao-dyn/9903015v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures, Accepted in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.82.2816

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.

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