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

S. I. Simdyankin; Normand Mousseau; E. R. Hunt

doi:10.1103/PhysRevE.66.066205

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

Condensed Matter 2009-11-07 v1

Authors: 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.

Keywords

stretched exponential distributions trap-time distributions coupled map lattices coupled chaotic oscillators relaxation responses diode-resonators

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@article{arxiv.cond-mat/0208487,
  title  = {Characterization of the stretched exponential trap-time distributions in one-dimensional coupled map lattices},
  author = {S. I. Simdyankin and Normand Mousseau and E. R. Hunt},
  journal= {arXiv preprint arXiv:cond-mat/0208487},
  year   = {2009}
}

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8 pages, 8 figures

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

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