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Synchronization of firing times in a stochastic neural network model with excitatory connections

Author

Listed:
  • Turova, Tatyana S.
  • Mommaerts, Walter
  • van der Meulen, Edward C.

Abstract

We investigate a finite, stochastic, completely neural network model with excitatory couplings. The dynamics of the moments of firing in the net is described by a Markov chain. We derive exponential bounds for its transition probabilities. Moreover, the exponential fast synchronization of the moments of firing is proved. The results are illustrated by computer simulations.

Suggested Citation

  • Turova, Tatyana S. & Mommaerts, Walter & van der Meulen, Edward C., 1994. "Synchronization of firing times in a stochastic neural network model with excitatory connections," Stochastic Processes and their Applications, Elsevier, vol. 50(1), pages 173-186, March.
    • Handle: RePEc:eee:spapps:v:50:y:1994:i:1:p:173-186
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    Cited by:

    1. Turova, Tatyana S., 1998. "Exponential rate of convergence of an infinite neuron model with local connections," Stochastic Processes and their Applications, Elsevier, vol. 73(2), pages 173-193, March.

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