Coexistence of attractors in a one-dimensional CNN array

Abstract

In this paper we investigate long-term (steady-state) behavior of a one-dimensional array of chaotic circuits for different connection strength. Using computer experiments we have confirmed the existence of a very large number of stable steady-states depending only on the initial conditions applied in the individual cells and on the connection strength. Of special interest is the coexistence of large amplitude periodic oscillations in some cells and chaotic oscillations in the others, that forms very complex spatial patterns.