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COMPLEX BIFURCATION STRUCTURES IN THE HINDMARSH–ROSE NEURON MODEL

J. M. GONZÀLEZ-MIRANDA

Departamento de Física Fundamental, Universidad de Barcelona, Avenida Diagonal 647, Barcelona 08028, Spain

https://doi.org/10.1142/S0218127407018877Cited by:102 (Source: Crossref)

Abstract

The results of a study of the bifurcation diagram of the Hindmarsh–Rose neuron model in a two-dimensional parameter space are reported. This diagram shows the existence and extent of complex bifurcation structures that might be useful to understand the mechanisms used by the neurons to encode information and give rapid responses to stimulus. Moreover, the information contained in this phase diagram provides a background to develop our understanding of the dynamics of interacting neurons.

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