Max Planck Institute for Dynamics and Self-Organization -- Department for Nonlinear Dynamics and Network Dynamics Group
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BCCN Sonderseminar

Thursday, 27.09.2007 14 c.t.

A strange attractor in the persistent sodium + potassium membrane model

by Peter Hiemeyer
from Universität Regensburg

Contact person: Fabian Theis

Location

Seminarraum Haus 2, 4. Stock (Bunsenstr.)

Abstract

According to some research results neuronal systems operate most efficiently on the "edge of chaos". So the chaotic behaviour of neuron models is worth being examined. The talk is about a reduced Hodgkin-Huxley-model for a neuronal membrane lacking an inactivation gate for the sodium channel. The phase space is two-dimensional and thus easier to analyze. First the model is introduced and a short description of its phase space is presented. Excitation by a periodic current with increasing amplitude leads on a period-doubling route to chaos. In the chaotic regime an aesthetically not unpleasant strange attractor is found.

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