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Phys. Rev. Lett. 82, 2816–2819 (1999)

Noise-Correlation-Time–Mediated Localization in Random Nonlinear Dynamical Systems

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Juan L. Cabrera1,2, J. Gorroñogoitia1, and F. J. de la Rubia1
1Departamento de Física Fundamental, Universidad Nacional de Educación a Distancia, Apdo. 60141, 28080 Madrid, Spain
2Centro de Astrobiología, INTA, Carretera de Ajalvir km. 4, 28850 Torrejón de Ardoz, Madrid, Spain

Received 14 October 1998; published in the issue dated 5 April 1999

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.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.82.2816
DOI:
10.1103/PhysRevLett.82.2816
PACS:
05.40.Ca, 02.50.Ey