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Characterization of the stretched exponential trap-time distributions in one-dimensional coupled map lattices

S. I. Simdyankin·Normand Mousseau·E. R. Hunt
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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 certain trap time in a number of coupled dynamical systems. We analyze a one-dimensional mathematical model of coupled chaotic oscillators which reproduces an experimental set-up of coupled diode-resonators and identify the necessary ingredients for stretched exponential distributions.

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S. I. Simdyankin, Normand Mousseau, E. R. Hunt. 2002-08-26. Characterization of the stretched exponential trap-time distributions in one-dimensional coupled map lattices. https://doi.org/10.1103/physreve.66.066205

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