FLUCTUATIONS OF SPATIAL PATTERNS AS A MEASURE OF CLASSICAL CHAOS

Authors
CAO Z HWA RC
Citation
Z. Cao et Rc. Hwa, FLUCTUATIONS OF SPATIAL PATTERNS AS A MEASURE OF CLASSICAL CHAOS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(1), 1997, pp. 326-333
Citations number
12
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
56
Issue
1
Year of publication
1997
Part
A
Pages
326 - 333
Database
ISI
SICI code
1063-651X(1997)56:1<326:FOSPAA>2.0.ZU;2-Z
Abstract
In problems when the temporal evolution of a nonlinear system cannot b e followed, a method for studying the fluctuations of spatial patterns has been developed. That method is applied to well-known problems in deterministic chaos (the logistic map and the Lorenz model) to check i ts effectiveness in characterizing the dynamical behaviors. It is foun d that the indices mu(q) are as useful as the Lyapunov exponents in pr oviding a quantitative measure of chaos. When applied to the Ising sys tem of finite size, it is shown how mu(q) can be used to determine the critical temperature.