Visualization of correlation cascade in spatio-temporal chaos using wavelets

Details Visualization of correlation cascade in spatio-temporal chaos using wavelets Visualization of correlation cascade in spatio-temporal chaos using wavelets

2000-07-03

arxiv.org/abs/nlin/0007003v1

Int. J. Bif. Chaos 11 (2001) 1483

Nonlinear Sciences

Chaotic Dynamics

9 pages, 13 figures

Scientific paper

10.1142/S0218127401002833

We propose a simple method to visualize spatio-temporal correlation between scales using wavelets, and apply it to two typical spatio-temporally chaotic systems, namely to coupled complex Ginzburg-Landau oscillators with diffusive interaction, and those with non-local interaction. Reflecting the difference between underlying dynamical processes, our method provides distinctive results for those two systems. Especially, for the non-locally interacting case where the system exhibits fractal amplitude patterns and power-law spectrum, it clearly visualizes the dynamical cascade process of spatio-temporal correlation between scales.

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