Noise-Induced Trapping at the Boundary between Two Attractors: A Source of 1/f Spectra in Nonlinear Dynamics

Anno: 1987

Autori: Arecchi F.T., Califano A.

Affiliazione autori: Istituto Nazionale di Ottica and Physics Department of the University – Florence, Italy;
Laboratory for Computer Science, MIT, Cambridge, MA, USA

Abstract: We show that the power spectrum of a nonlinear dynamical system with more than one basin of attraction becomes 1/f in the presence of noise, provided the basin boundary be fractal. The result is numerically proved by a cellular automaton. This phenomenon resembles the random-random walk in a one-dimensional lattice, which undergoes a subdiffusive motion with the same type of spectra.

Giornale/Rivista: EUROPHYSICS LETTERS

Volume: 3 (1)      Da Pagina: 5  A: 9

Parole chiavi: fluctuation phenomena; random processes;
DOI: 10.1209/0295-5075/3/1/002

Citazioni: 19
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18
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