1 Biophysics and Fluids, Department of Physics, Technical University of Denmark2 Department of Physics, Technical University of Denmark3 Volga State Academy of Water Transportation
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.
Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, 1996, Vol 54, Issue 4, p. 3196-3203