ON THE GLOBAL ORBITS IN A BISTABLE CML

an infinite one-dimensional coupled map lattice (CML) for which the lo cal map is piecewise affine and bistable, we study the global orbits u sing a spatiotemporal coding introduced in a previous work. The set of all the fixed points is first considered. It is shown that, under som e restrictions on the parameters, the latter is a Canter set, and we i ntroduce an order to study the fixed points' existence. This also invo lves the proof of the coexistence of propagating fronts and stationary structures. In the second part, we analyze the global orbits which oc cur for strong coupling using the splitting of the dynamics into two i ndependent (sub-)lattices, and emphasize the description of various tr aveling structures. (C) 1997 American Institute of Physics.