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Characterization of the stretched-exponential trap-time distributions in one-dimensional coupled map lattices
S I Simdyankin1, Normand Mousseau, E R Hunt
1Département de Physique and Centre de Recherche en Physique et Technologie des Couches Minces, Université de Montréal, Case Postale 6128, Succursale Centre-ville, Québec, Canada H3C 3J7.
Abstract:
Stretched-exponential distributions and relaxation responses are encountered in a wide range of physical systems such as glasses, polymers, and spin glasses. As found recently, this type of behavior occurs also for the distribution function of a certain trap time in a number of coupled dynamical systems. We analyze a one-dimensional mathematical model of coupled chaotic oscillators that reproduces an experimental setup of coupled diode resonators and identify the necessary ingredients for stretched-exponential distributions.
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