EARLY-TIME CRITICAL-DYNAMICS OF LATTICES OF COUPLED CHAOTIC MAPS

Authors
Citation
P. Marcq et H. Chate, EARLY-TIME CRITICAL-DYNAMICS OF LATTICES OF COUPLED CHAOTIC MAPS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(2), 1998, pp. 1591-1603
Citations number
31
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
57
Issue
2
Year of publication
1998
Part
A
Pages
1591 - 1603
Database
ISI
SICI code
1063-651X(1998)57:2<1591:ECOLOC>2.0.ZU;2-D
Abstract
The early-time critical dynamics of continuous, Ising-like phase trans itions is studied numerically for two-dimensional lattices of coupled chaotic maps. Emphasis is placed on obtaining accurate estimates of th e dynamic critical exponents theta' and z. The critical points of five different models are investigated, varying the mode of update, the co upling, and the local map. Our results suggest that the nature of upda te is a relevant parameter for dynamic universality classes of extende d dynamical systems, generalizing results obtained previously for the static properties. They also indicate that the universality observed f or the static properties of Ising-like transitions of synchronously up dated systems does not hold for their dynamic critical properties.