Application of Local Activity Theory to Rossler CNN Model

Coupled nonlinear dynamical systems (CNDpsilas) have been widely studied in the recent years. However the dynamical properties of the CNDpsilas are difficult to deal with. The local activity principle of the Cellular Nonlinear Network (CNN) introduced by Chua has provided a powerful tool for studying the emergence of complex patterns in a homogeneous lattice formed by coupled cells. Based on the Rossler equation introduced by Rossler, this paper establishes a two dimensional coupled Rossler CNN system. Using the analytical criteria for the local activity calculates the chaos edge of the Rossler CNN system. The numerical simulations show that the emergence may exist if the selected cell parameters are nearby the edge of chaos domain. The Rossler CNN can exhibit periodicity and chaos.