Stochastic resonance in a non Markovian discrete state model for excitable systems

Abstract

We study a non Markovian three state model, subjected to an external periodic signal. This model is intended to describe an excitable systems with periodical driving. In the limit of a small amplitude of the external signal we derive expressions for the spectral power amplification and the signal to noise ratio as well as for the inter-spike interval distribution.

5 pages, 3 figures

References in corpus (4)

• Noise-induced dynamics in bistable systems with delay
• Non-Markovian Stochastic Resonance
• An Analytical Study of Coupled Two-State Stochastic Resonators
• Coupled three-state oscillators

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• Phase velocity and phase diffusion in periodically driven discrete state systems
• Drift and Diffusion in Periodically Driven Renewal Processes
• Dynamics of neural fields with exponential temporal kernel