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Fluctuations of Spatial Patterns as a Measure of Classical Chaos

Zhen Cao·Rudolph C. Hwa
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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 $μ_q$ are as useful as the Lyapunov exponents in providing a quantitative measure of chaos.

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Zhen Cao, Rudolph C. Hwa. 1997-02-10. Fluctuations of Spatial Patterns as a Measure of Classical Chaos. https://doi.org/10.1103/physreve.56.326

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