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

Tatyana S. Turova, Walter Mommaerts and Edward C. van der Meulen

Stochastic Processes and their Applications, 1994, vol. 50, issue 1, 173-186

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.

Keywords: Ornstein-Uhlenbeck; process*Markov; chains*neural; network*synchronization*excitatory; connections (search for similar items in EconPapers)
Date: 1994
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