Fluctuations of Spatial Patterns as a Measure of Classical Chaos
Nuclear Theory
2008-11-26 v1 chao-dyn
High Energy Physics - Phenomenology
Chaotic Dynamics
Abstract
In problems where the temporal evolution of a nonlinear system cannot be 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 its effectiveness in characterizing the dynamical behaviors. It is found that the indices are as useful as the Lyapunov exponents in providing a quantitative measure of chaos.
Keywords
Cite
@article{arxiv.nucl-th/9702025,
title = {Fluctuations of Spatial Patterns as a Measure of Classical Chaos},
author = {Zhen Cao and Rudolph C. Hwa},
journal= {arXiv preprint arXiv:nucl-th/9702025},
year = {2008}
}
Comments
10 pages + 7 figures (in ps file), LaTex, Submitted to Phys. Rev. E