On the Chaos Region of the Modified Nagumo-Sato Model

Abstract

In this letter let us first show a fractal structure of the chaos region, with positive Lyapunov exponents, appearing in the two-dimensional parameter space spanned by the temperature parameter and the effective stimulus. From the dynamical results for the modified Nagumo-Sato model of a neural element, it is found that such a chaos region showing chaos behaviour has a global self-similar structure in it. The fractal dimensions evaluated from the capacity and the entropy are found to increase with the increase in the decay parameter of the refractory memory.