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Pinning synchronization of unilateral coupling neuron network with stochastic noise

Author

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  • Shi, Xuerong
  • Han, Lixin
  • Wang, Zuolei
  • Tang, Keming

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.

Suggested Citation

  • Shi, Xuerong & Han, Lixin & Wang, Zuolei & Tang, Keming, 2014. "Pinning synchronization of unilateral coupling neuron network with stochastic noise," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1242-1248.
    • Handle: RePEc:eee:apmaco:v:232:y:2014:i:c:p:1242-1248
    DOI: 10.1016/j.amc.2014.01.126
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    Cited by:

    1. Ge, Mengyan & Jia, Ya & Xu, Ying & Lu, Lulu & Wang, Huiwen & Zhao, Yunjie, 2019. "Wave propagation and synchronization induced by chemical autapse in chain Hindmarsh–Rose neural network," Applied Mathematics and Computation, Elsevier, vol. 352(C), pages 136-145.

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