Stochastic dynamics of the diffusive Haken model with subthreshold periodic forcing

Paul C. Bressloff and Peter Roper
Phys. Rev. E 58, 2282 – Published 1 August 1998
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Abstract

We demonstrate a noisy resonance phenomenon in a winner-takes-all neural network. We derive an expression for the theoretical transition rate between states and show that this rate matches the driving frequency. We further show that this effect persists when a diffusive coupling is introduced into the network leading to a more robust system.

  • Received 12 December 1997

DOI:https://doi.org/10.1103/PhysRevE.58.2282

©1998 American Physical Society

Authors & Affiliations

Paul C. Bressloff and Peter Roper

  • Nonlinear and Complex Systems Group, Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire LE11 3TU, United Kingdom

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Issue

Vol. 58, Iss. 2 — August 1998

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