Solvable model of spatiotemporal chaos

D. Hansel*, H. Sompolinsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

A continuous time dynamic model of a d-dimensional lattice of coupled localized m-component chaotic elements is solved exactly in the limit m→. A self-consistent nonlinear partial differential equation for the correlations in space and time is derived. Near the onset of spatiotemporal disorder there are solutions that exhibit a novel space-time symmetry: the corresponding correlations are invariant to rotations in the d+1 space-time variables. For d<3 the correlations decay exponentially at large distances or long times. For d3 the correlations exhibit a power law decay as the inverse of the distance or time.

Original languageEnglish
Pages (from-to)2710-2713
Number of pages4
JournalPhysical Review Letters
Volume71
Issue number17
DOIs
StatePublished - 1993

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