Pinning synchronization of unilateral coupling neuron network with stochastic noise

Xuerong Shi, Lixin Han, Zuolei Wang and Keming Tang

Applied Mathematics and Computation, 2014, vol. 232, issue C, 1242-1248

Abstract: In this paper, pinning synchronization of unilateral coupling time delay neuron network with stochastic noise is investigated. Based on Lyapunov stability theory, by designing appropriate controller and particular Lyapunov function, pinning synchronization of unilateral coupling Hindmarsh–Rose network with stochastic noise is obtained. This method needs only one single controller. Simulation results are given to verify the effectiveness of the proposed scheme. From the simulations, the relation between the time needed to achieve pinning synchronization of unilateral coupling neuron network with stochastic noise and the number of nodes, the noise intensity, the coupling intensity is illustrated.

Keywords: Pinning synchronization; Unilateral coupling network; Hindmarsh–Rose neuron model; Stochastic noise (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:1242-1248

DOI: 10.1016/j.amc.2014.01.126

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