Abstract
The paper presents a qualitative analysis of coupled map lattices (CMLs) for the case of arbitrary nonlinearity of the local map and with space-shift as well as diffusion coupling. The effect of synchronization where, independently of the initial conditions, all elements of a CML acquire uniform dynamics is investigated and stable chaotic time behaviors, steady structures, and traveling waves are described. Finally, the bifurcations occurring under the transition from spatiotemporal chaos to chaotic synchronization and the peculiarities of CMLs with specific symmetries are discussed.
| Original language | English |
|---|---|
| Journal | Physical Review E. Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 54 |
| Issue number | 4 |
| Pages (from-to) | 3196-3203 |
| ISSN | 1063-651X |
| DOIs | |
| Publication status | Published - 1996 |
Bibliographical note
Copyright (1996) American Physical Society.Keywords
- SYSTEMS
- NETWORK
- TRAVELING WAVES
- PATTERNS
- ELEMENTS
- STABILITY
- SPATIOTEMPORAL INTERMITTENCY
- PERIODIC-ORBITS