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