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 language | English |
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Pages (from-to) | 2710-2713 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 71 |
Issue number | 17 |
DOIs | |
State | Published - 1993 |