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Journal Articles Cognitive Neurodynamics Year : 2009

Chaotic solutions in the quadratic integrate-and-fire neuron with adaptation

Abstract

The quadratic integrate-and-fire (QIF) model with adaptation is commonly used as an elementary neuronal model that reproduces the main characteristics of real neurons. In this paper, we introduce a QIF neuron with a nonlinear adaptive current. This model reproduces the neuron-computational features of real neurons and is analytically tractable. It is shown that under a constant current input chaotic firing is possible. In contrast to previous study the neuron is not sinusoidally forced. We show that the spike-triggered adaptation is a key parameter to understand how chaos is generated.
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Dates and versions

inria-00300794 , version 1 (20-07-2008)

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Gang Zheng, Arnaud Tonnelier. Chaotic solutions in the quadratic integrate-and-fire neuron with adaptation. Cognitive Neurodynamics, 2009, 3 (3), pp.197-204. ⟨10.1007/s11571-008-9069-6⟩. ⟨inria-00300794⟩
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