EXPLORING COLLECTIVE BEHAVIORS WITH A MULTI-ATTRACTOR QUARTIC MAP

We simulate a 2D coupled map lattice formed by individual units consis ting of a multi-attractor quartic map. We show that the interesting re cently discovered non-trivial collective behaviors (where macroscopic quantities show well-defined, usually regular, temporal evolution in s pite of the presence of local disorder in space and time) also exist, over wide parameter domains, in the presence of local periodic order, in systems having more realistic units allowing coexistence of more th an one attractor. (C) 1998 Elsevier Science B.V. All rights reserved.