Chaotic Diffusion of Localized Turbulent Defect and Pattern Selection in Spatiotemporal Chaos
- 1 June 1988
- journal article
- Published by IOP Publishing in Europhysics Letters
- Vol. 6 (3), 193-199
- https://doi.org/10.1209/0295-5075/6/3/002
Abstract
Coupled-map lattices are investigated as a model for the spatiotemporal chaos. Patterns with some wavelengths are selected through a chaotic motion of domain boundaries. Localized defect which separates two domains with antiphase is found. It changes chaotically in time and moves randomly in space. The diffusion coefficient and Kolmogorov-Sinai entropy of a defect are calculated. A novel phase transition at the collapse of a pattern is studied in connection with a crisis in a high-dimensional dynamical system.Keywords
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