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Synchronization dynamics in a small pacemaker neuronal ensemble via a robust adaptive controller

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  • Cornejo-Pérez, O.
  • Solı´s-Perales, G.C.
  • Arenas-Prado, J.A.

Abstract

The synchronization dynamics of a pacemaker neuronal ensemble under the action of a control command is studied herein. The ensemble corresponds to the pyloric central pattern generator of the stomatogastric ganglion of lobster. The desired dynamics is provided by means of an external master neuron and it is induced via a nonlinear controller. Such a controller is composed of a linearizing-like controller and a high gain observer; the controller is able to counteract uncertainties and external perturbations in the controlled system. Numerical simulations of the robust synchronization dynamics of the master neuron and the pacemaker neuronal ensemble are displayed.

Suggested Citation

  • Cornejo-Pérez, O. & Solı´s-Perales, G.C. & Arenas-Prado, J.A., 2012. "Synchronization dynamics in a small pacemaker neuronal ensemble via a robust adaptive controller," Chaos, Solitons & Fractals, Elsevier, vol. 45(6), pages 861-868.
    • Handle: RePEc:eee:chsofr:v:45:y:2012:i:6:p:861-868
    DOI: 10.1016/j.chaos.2012.03.002
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    References listed on IDEAS

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    1. Leon Glass, 2001. "Synchronization and rhythmic processes in physiology," Nature, Nature, vol. 410(6825), pages 277-284, March.
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    Cited by:

    1. Vázquez-Medina, R. & Jiménez-Ramírez, O. & A. Quiroz-Juárez, M. & L. Aragón, J., 2013. "Arbitrary waveform generator biologically inspired," Chaos, Solitons & Fractals, Elsevier, vol. 51(C), pages 36-51.

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