New Way to Achieve Synchronization in Spatially Extended Systems
Abstract
We study the spatio-temporal behavior of simple unidirectionally coupled map lattices with periodic boundary conditions. The local dynamics is governed by two maps, the sine circle map and the logistic map. It is found that even though the spatial behavior is irregular for the regularly coupled (nearest-neighbor coupling) system, the spatially synchronized (sometimes chaotically synchronized) as well as periodic solution may be obtained by the rearrangement of only three nearest-neighbor couplings.
- Publication:
-
Modern Physics Letters B
- Pub Date:
- 2001
- DOI:
- 10.1142/S0217984901001987
- arXiv:
- arXiv:cond-mat/0002315
- Bibcode:
- 2001MPLB...15..535G
- Keywords:
-
- 05.45.+b;
- 05.20.-y;
- 05.90.+m;
- Classical statistical mechanics;
- Other topics in statistical physics thermodynamics and nonlinear dynamical systems;
- Condensed Matter
- E-Print:
- 5 pages (revtex), 7 figures (eps, included)