Generalized multistability and noise-induced jumps in a nonlinear dynamical system

Year: 1985

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

Autors Affiliation: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy;
Dipartimento di Fisica, Università di Firenze, Firenze, Italy

Abstract: A study of the forced Duffing equation is reported, with particular reference to a region of the parameter space where five different attractors coexist. This coexistence, reported in some recent experiments, is called generalized multistability. The role of external noise in bridging the otherwise disjoint basins is explored. Noise-induced couplings are shown to be ruled by simple kinetic equations under a general assumption for the geometry of the boundaries. These kinetic equations yield low-frequency power spectra in qualitative agreement with the experimental results.

Journal/Review: PHYSICAL REVIEW A

Volume: 32 (1)      Pages from: 402  to: 408

KeyWords: multistability; nonlinear system;
DOI: 10.1103/PhysRevA.32.402

Citations: 107
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