Chaotic solutions in the quadratic integrate-and-fire neuron with adaptationReport as inadecuate

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* Corresponding author 1 LJK - Laboratoire Jean Kuntzmann 2 BIPOP - Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble

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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keyword : QIF Chaos

Mots-clés : Poincaré map Lyapunov exponent

Author: Gang Zheng - Arnaud Tonnelier -



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