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

Physics – Condensed Matter

Scientific paper

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8 pages, 8 figures

Scientific paper

10.1103/PhysRevE.66.066205

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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