Fluctuations of Spatial Patterns as a Measure of Classical Chaos
Zhen Cao, Rudolph C. Hwa
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 μq are as useful as the Lyapunov exponents in providing a quantitative measure of chaos.
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