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.
Keywords
PhysicsCoherence (philosophical gambling strategy)ChaoticStatistical physicsCoupled map latticeThermodynamic limitNoise (video)Operator (biology)Control of chaosPeriodic boundary conditionsBoundary (topology)Classical mechanicsBoundary value problemQuantum mechanicsSynchronization of chaosMathematical analysisMathematics
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Publication Info
- Year
- 1992
- Type
- article
- Volume
- 68
- Issue
- 24
- Pages
- 3495-3498
- Citations
- 49
- Access
- Closed
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Cite This
Igor S. Aranson,
David Golomb,
Haim Sompolinsky
(1992).
Spatial coherence and temporal chaos in macroscopic systems with asymmetrical couplings.
Physical Review Letters
, 68
(24)
, 3495-3498.
https://doi.org/10.1103/physrevlett.68.3495
Identifiers
- DOI
- 10.1103/physrevlett.68.3495
- PMID
- 10045719