4.5 Article

Complex bifurcation structures in the Hindmarsh-Rose neuron model

Journal

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 17, Issue 9, Pages 3071-3083

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127407018877

Keywords

neuronal dynamics; neuronal coding; deterministic chaos; bifurcation diagram

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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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