Low-frequency phenomena in dynamical systems with many attractors

Year: 1984

Authors: Arecchi F.T., Badii R., Politi A.

Autors Affiliation: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125Firenze, Italy;
Physics department, university of Florence, 50125 Florence, Italy

Abstract: Power spectra of multistable systems have a low-frequency component corresponding to jumps among independent attractors. This situation is modeled with a one-dimensional cubic map disturbed by noise. Besides the dependence of the spectral slope on noise, we show that the Lyapunov exponent is made of two separate contributions corresponding to the attracting and repulsive regions, respectively, each weighted with its relative occupation time.

Journal/Review: PHYSICAL REVIEW A

Volume: 29 (2)      Pages from: 1006  to: 1009

KeyWords: DYNAMICAL-SYSTEMS
DOI: 10.1103/PhysRevA.29.1006

Citations: 48
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