Eguiluz, Victor M.; Alstrom, Preben; Hernandez-Garcia, Emilio; Piro, Oreste

Average Patterns of Spatiotemporal Chaos: a Boundary Effect

We consider time-averaged patterns obtained from the Kuramoto-Sivashinsky
equation in a bounded domain. The average patterns recover global symmetries
broken locally by the chaotic fluctuations. Their amplitude
is strongest at the boundaries and decays with increasing distance to them.
The law of decay is found and explained. The wavenumber selected by the
average pattern is studied as a function of system size and the different
behavior between the central and boundary regions is discussed. Most of these observations
agree with experimental results in different systems, thus indicating a
degree of universality in the behavior of average patterns.

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Date published: 1999
Journal: Phys. Rev. E
Volume: 59
Page: 2822-2825

Publications

Nonlinear Science and Statistical Physics Photonics