Dynamics of a neuron model in different two-dimensional parameter-spaces

Abstract

We report some two-dimensional parameter-space diagrams numerically obtained for the multi-parameter Hindmarsh–Rose neuron model. Several different parameter planes are considered, and we show that regardless of the combination of parameters, a typical scenario is preserved: for all choice of two parameters, the parameter-space presents a comb-shaped chaotic region immersed in a large periodic region. We also show that exist regions close these chaotic region, separated by the comb teeth, organized themselves in period-adding bifurcation cascades.