Synchronization in two-layer bistable coupled map lattices

The dynamics of a two-layer bistable coupled map lattice (CML) is investiga ted. A methodology for the construction of invariant domains in the phase s pace is developed and applied to the study of pattern formation and inter-l ayer synchronization. Sufficient conditions for global synchronization are obtained. The phenomena of pattern interaction and replication of form is a lso investigated. Finally, possible instabilities of the synchronization mo de and on-off-diagonal attractors are analyzed. (C) 2001 Elsevier Science B .V. All rights reserved.