A computer-assisted investigation of a 2-D array of Chua's circuits

Abstract

This paper presents simulation results on a 2-D array of coupled Chua's circuits called an f(x)-x/spl dot/ coupled chaotic CNN in order to distinguish it from other recently proposed chaotic CNN architectures. Each isolated cell with unity self-feedback in the network is a Chua's circuit and is connected only to its nearest neighbors defined by a metric and a neighborhood size. The network is designed with a 2-D torus like connection topology having cyclic boundary conditions that play an important role in complete phase synchronization. It is observed in our computer simulations that i) depending on the choice of the intracell parameters and the connection weights, the cells of the network appear to be operating in a double-scroll Chua's attractor, in spiral Chua's attractors, in stable equilibria, in a period-1, a period-2, a large limit-cycle, or in a large chaotic regime, ii) complete phase synchronization in the network with all cells operating in the double scroll regime ran be obtained by a suitable choice of the intracell parameters and the feedback connection weights, iii) there is a set of the intracell parameters and connection weights resulting in a chaotic regime such that each cell depending on its constant external input falls into one of the three attractors; namely, the double-scroll, P/sup +/ spiral, or P/sup -/ spiral Chua's attractor. As a new phenomenon, a close relation between phase synchronization settling-time and input pattern is observed that offers new potentials of Chua's circuit arrays for pattern recognition applications. >