Bioinspired Cellular Nonlinear Networks working on the edge of chaos

Abstract

The most widely-used model of the excitation and propagation of impulse (action potential) in nerve membranes is the Hodgkin-Huxley system. In this paper we consider its simplification - a coupled FitzHugh Nagumo model. We shall study its dynamics from the point of view of local activity theory and we shall define the edge of chaos region in which complex behavior appears. Simulations show that oscillatory patterns, chaotic patterns, or divergent patterns may emerge if the selected cell parameters are located in locally-active domains but near the edge of chaos.