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

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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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Authors and Affiliations

  1. ECS, ENSEA, 6 Avenue du Ponçeau, 95014, Cergy-Pontoise Cedex, France

    Gang Zheng

  2. INRIA, LJK, Inovallée 655 Avenue de l’Europe Montbonnot, 38334, Saint Ismier, France

    Arnaud Tonnelier

Authors
  1. Gang Zheng
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  2. Arnaud Tonnelier
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Correspondence to Gang Zheng.

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Zheng, G., Tonnelier, A. Chaotic solutions in the quadratic integrate-and-fire neuron with adaptation. Cogn Neurodyn 3, 197–204 (2009). https://doi.org/10.1007/s11571-008-9069-6

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  • DOI: https://doi.org/10.1007/s11571-008-9069-6

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