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

Gang Zheng 1, * Arnaud Tonnelier 2 
* Corresponding author
2 BIPOP - Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology
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.
keyword : QIF Chaos
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Submitted on : Sunday, July 20, 2008 - 11:56:24 AM
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Gang Zheng, Arnaud Tonnelier. Chaotic solutions in the quadratic integrate-and-fire neuron with adaptation. Cognitive Neurodynamics, Springer Verlag, 2009, 3 (3), pp.197-204. ⟨10.1007/s11571-008-9069-6⟩. ⟨inria-00300794⟩



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