Spatial coherence and temporal chaos in macroscopic systems with asymmetrical couplings

I. Aranson, D. Golomb, H. Sompolinsky

Research output: Contribution to journalArticlepeer-review

48 Scopus citations

Abstract

Coupled map lattices with asymmetric short-range couplings are studied analytically and numerically. It is shown that with open boundary conditions these systems exhibit spatially uniform, but temporally chaotic states that are stable even in the thermodynamic limit. The stability of this state is associated with the appearance of a gap at zero wave number in the spectrum of the linear operator describing the fluctuations about the uniform state. The long-range order is unstable to noise. We calculate the finite coherence length of the chaotic state in the presence of weak noise.

Original languageEnglish
Pages (from-to)3495-3498
Number of pages4
JournalPhysical Review Letters
Volume68
Issue number24
DOIs
StatePublished - 1 Jan 1992
Externally publishedYes

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