Coupled HR Neurons : On the Influence of the Coupling Strength on the Neuron Dynamics

Stefan Balev (1) , Nathalie Corson (2)

1 LITIS - Laboratoire d'Informatique, de Traitement de l'Information et des Systèmes
2 LMAH - Laboratoire de Mathématiques Appliquées du Havre

Studies concerning coupled neurons have already led to very interesting results on emergent global behaviour such as synchronization phenomena. While working on this kind of problems, it appears that if coupling neurons could make some collective behaviour appear, it could also drastically change each neuron dynamics. This paper deals with the influence of the coupling strength on one neurone behaviour throught bifurcation diagrams and numerical analysis of the asymptotic dynamics of a neuron connected to another.

Mots clés: Hindmarsh-Rose Neurons; Bifurcation Diagram; Asymptotic Dynamics; Coupling Strength

Domaines: Systèmes dynamiques [math.DS]

Stefan Balev, Nathalie Corson. Coupled HR Neurons : On the Influence of the Coupling Strength on the Neuron Dynamics. ECCS 2012 : European Conference on Complex Systems 2012 - Bruxelles, Sep 2012, Bruxelles, Belgium. 3 p. ⟨hal-00952622⟩