Independent Component Analysis of Spatiotemporal Chaos

Details Independent Component Analysis of Spatiotemporal Chaos Independent Component Analysis of Spatiotemporal Chaos

2005-05-13

arxiv.org/abs/nlin/0505036v1

J. Phys. Soc. Jpn. 74 (2005) 1661

Nonlinear Sciences

Chaotic Dynamics

5 pages, 6 figures, JPSJ Vol 74, No. 6

Scientific paper

10.1143/JPSJ.74.1661

Two types of spatiotemporal chaos exhibited by ensembles of coupled nonlinear oscillators are analyzed using independent component analysis (ICA). For diffusively coupled complex Ginzburg-Landau oscillators that exhibit smooth amplitude patterns, ICA extracts localized one-humped basis vectors that reflect the characteristic hole structures of the system, and for nonlocally coupled complex Ginzburg-Landau oscillators with fractal amplitude patterns, ICA extracts localized basis vectors with characteristic gap structures. Statistics of the decomposed signals also provide insight into the complex dynamics of the spatiotemporal chaos.

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