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Phys. Rev. E 66, 066205 (2002) [8 pages]

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

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S. I. Simdyankin1, Normand Mousseau1, and E. R. Hunt2
1Département de Physique and Centre de Recherche en Physique et Technologie des Couches Minces, Université de Montréal, Case Postale 6128, Succursale Centre-ville, Montréal, Québec, Canada H3C 3J7
2Department of Physics and Astronomy and CMSS, Ohio University, Athens, Ohio 45701

Received 20 August 2002; published 12 December 2002

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.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.66.066205
DOI:
10.1103/PhysRevE.66.066205
PACS:
05.45.Xt, 61.43.Fs, 05.45.Ra