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.
|Journal||Physical Review E. Statistical, Nonlinear, and Soft Matter Physics|
|Publication status||Published - 1996|
Bibliographical noteCopyright (1996) American Physical Society.
- TRAVELING WAVES
- SPATIOTEMPORAL INTERMITTENCY
Belykh, V. N., & Mosekilde, E. (1996). One-dimensional map lattices: Synchronization, bifurcations, and chaotic structures. Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, 54(4), 3196-3203. https://doi.org/10.1103/PhysRevE.54.3196