Fluctuations of Spatial Patterns as a Measure of Classical Chaos

Details Fluctuations of Spatial Patterns as a Measure of Classical Chaos Fluctuations of Spatial Patterns as a Measure of Classical Chaos

1997-02-10

arxiv.org/abs/nucl-th/9702025v1

Phys.Rev.E56:326-333,1997

Physics

Nuclear Physics

Nuclear Theory

10 pages + 7 figures (in ps file), LaTex, Submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.56.326

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 $\mu _q$ are as useful as the Lyapunov exponents in providing a quantitative measure of chaos.

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