title: Coupled trivial maps.
abstract: The first nontrivial example of coupled map lattices that admits a rigorous analysis in the whole range of the strength of space interactions is considered. This class is generated by one-dimensional maps with a globally attracting superstable periodic trajectory that are coupled by a diffusive nearest-neighbor interaction.
authors.affiliation: Georgia Institute of Technology, School of Mathematics, Atlanta, Georgia 30332Institute of Oceanology, Russian Academy of Science, 117218 Moscow, RussiaDipartimento di Fisica, Universita di Firenze, Largo E. Fermi 2, 50125 Firenze, ItalyINFN and INFM Sezione di FirenzeInstituto de Fisica, UNAM, Apdo. Postal 20-364, 01000 Mexico D.F., MexicoDipartimento di Energetica, Universita di Firenze, Firenze, ItalyINFN and INFM Sezione di Firenze.
authors.forename: L. A.
authors.initials: LA
authors.lastname: Bunimovich
authors.forename: R.
authors.initials: R
authors.lastname: Livi
authors.forename: G.
authors.initials: G
authors.lastname: Martinez-Mekler
authors.forename: S.
authors.initials: S
authors.lastname: Ruffo