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Robust Master-Slave Synchronization of Neuronal Systems

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  • Hector Puebla
  • Eliseo Hernández-Martínez
  • Mariana Rodriguez-Jara
  • Cesar S. Lopez-Monsalvo

Abstract

The desire to understand physiological mechanisms of neuronal systems has led to the introduction of engineering concepts to explain how the brain works. The synchronization of neurons is a central topic in understanding the behavior of living organisms in neurosciences and has been addressed using concepts from control engineering. We introduce a simple and reliable robust synchronization approach for neuronal systems. The proposed synchronization method is based on a master-slave configuration in conjunction with a coupling input enhanced with compensation of model uncertainties. Our approach has two nice features for the synchronization of neuronal systems: (i) a simple structure that uses the minimum information and (ii) good robustness properties against model uncertainties and noise. Two benchmark neuronal systems, Hodgkin-Huxley and Hindmarsh-Rose neurons, are used to illustrate our findings. The proposed synchronization approach is aimed at gaining insight into the effect of external electrical stimulation of nerve cells.

Suggested Citation

  • Hector Puebla & Eliseo Hernández-Martínez & Mariana Rodriguez-Jara & Cesar S. Lopez-Monsalvo, 2017. "Robust Master-Slave Synchronization of Neuronal Systems," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-10, December.
    • Handle: RePEc:hin:jnlmpe:7587294
    DOI: 10.1155/2017/7587294
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