Rate processes in low dimensional chaotic systems with many attractors

Year: 1991

Authors: Arecchi F.T.

Autors Affiliation: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy;
Dep. of Physics, Univ. di Firenze

Abstract: Kramers’ paper and its successive elaborations up to the last decade have considered the transition rate between two stable situations. In the language of system dynamics, we say that the process consists in the transition between the basins of attraction of two fixed point attractors. – Here I present four situations of transitions in non equilibrium systems explored experimentally, and which await a formal treatment in terms of a generalized Kramers transition rate theory.

Journal/Review: BERICHTE DER BUNSEN-GESELLSCHAFT-PHYSICAL CHEMISTRY CHEMICAL PHYSICS

Volume: 95 (3)      Pages from: 286  to: 298

KeyWords: Fractal basin boundaries; generating 1/f noise; nonlinear systems
DOI: 10.1002/bbpc.19910950312

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