ORDER AND CHAOS IN THE TORAL LOGISTIC LATTICE

Cellular dynamical systems, alias lattice dynamical systems, emerged as a new mathematical structure and modeling strategy in the 1980s. Based, like cellular automata, on finite difference methods for partial differential equations, they provide challenging patterns of spatiotemporal organization, in which chaos and order cooperate in novel ways. Here we present initial findings of our exploration of a two-dimensional logistic lattice with the Massively Parallel Processor (MPP) at NASA's Goddard Space Flight Center, a machine capable of 200 megaflops per second. A video tape illustrating these findings is available.