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Self-exciting chaos as a dynamic model for irregular neural spiking

Gerold Baier, Gerardo J. Escalera Santos, Héctor Perales, M. Rivera, Markus Müller, Ron Leder, and P. Parmananda
Phys. Rev. E 62, R7579(R) – Published 1 December 2000
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Abstract

We introduce a nonlinear dynamical system with self-exciting chaotic dynamics. Its interspike interval return map shows a noisy Poisson-like distribution. Spike sequences from different initial conditions are unrelated but possess the same mean frequency. In the presence of noisy perturbations, sequences started from different initial conditions synchronize. The features of the model are compared with experimental results for irregular spike sequences in neurons. Self-exciting chaos offers a mechanism for temporal coding of complex input signals.

  • Received 15 July 2000

DOI:https://doi.org/10.1103/PhysRevE.62.R7579

©2000 American Physical Society

Authors & Affiliations

Gerold Baier, Gerardo J. Escalera Santos, Héctor Perales, M. Rivera, Markus Müller, Ron Leder, and P. Parmananda

  • Facultad de Ciencias, Universidad Autónoma del Estado de Morelos Col. Chamilpa, 62210 Cuernavaca, Morelos, Mexico

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Vol. 62, Iss. 6 — December 2000

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