Influence of noise on dynamics of coupled bursters

Nikola Burić, Kristina Todorović, and Nebojša Vasović

Phys. Rev. E 75, 067204 – Published 28 June 2007

Abstract

The influence of white noise on the dynamics of a delayed electrically coupled pair of Hidmarsh-Rose bursting neurons is studied. In particular a simple method to predict the intensity of noise that can destabilize the quiescent state is proposed and compared with numerical computations. Furthermore, it is demonstrated that quite small noise completely destroys the exact synchronization of bursting dynamics, and a qualitative explanation of this effect is discussed.

Received 17 February 2007

DOI:https://doi.org/10.1103/PhysRevE.75.067204

Authors & Affiliations

Nikola Burić^1,*, Kristina Todorović², and Nebojša Vasović³

¹Institute of Physics, University of Beograd, P.O. Box 68, 11080 Beograd-Zemun, Serbia
²Department of Physics and Mathematics, Faculty of Pharmacy, University of Belgrade, Vojvode Stepe 450, Belgrade, Serbia
³Department of Applied Mathematics, Faculty of Mining and Geology, P.O. Box 162, Belgrade, Serbia

^*buric@phy.bg.ac.yu

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Issue

Vol. 75, Iss. 6 — June 2007

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics