NONLINEAR-WAVES, PATTERNS AND SPATIOTEMPORAL CHAOS IN CELLULAR NEURALNETWORKS

Spatio-temporal pattern formation occurring in discretely coupled nonl inear dynamical systems has been studied numerically. In this paper, w e review the possibilities of using arrays of discretely coupled nonli near electronic circuits to study these systems. Spiral wave initiatio n and Turing pattern formation are some of the examples. Sidewall forc ing of Turing patterns is shown to be capable of driving the system in to a perfect spatial organization, namely, a rhombic pattern, where no defects occur. The dynamics of the two layers supporting Turing and H opf modes, respectively, is analysed as a function of the coupling str ength between them. The competition between these two modes is shown t o increase with the diffusion between layers. As well, the coexistence of low- and high-dimensional spatio-temporal chaos is shown to occur in one-dimensional arrays.