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Characterization of the anticipated synchronization regime in the coupled FitzHugh–Nagumo model for neurons

Author

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  • Toral, Raúl
  • Masoller, C
  • Mirasso, Claudio R
  • Ciszak, M
  • Calvo, O

Abstract

We characterize numerically the regime of anticipated synchronization in the coupled FitzHugh–Nagumo model for neurons. We consider two neurons, coupled unidirectionally (in a master–slave configuration), subject to the same random external forcing and with a recurrent inhibitory delayed connection in the slave neuron. We show that the scheme leads to anticipated synchronization, a regime in which the slave neuron fires the same train of pulses as the master neuron, but earlier in time. We characterize the synchronization in the parameter space (coupling strength, anticipation time) and introduce several quantities to measure the degree of synchronization.

Suggested Citation

  • Toral, Raúl & Masoller, C & Mirasso, Claudio R & Ciszak, M & Calvo, O, 2003. "Characterization of the anticipated synchronization regime in the coupled FitzHugh–Nagumo model for neurons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 192-198.
    • Handle: RePEc:eee:phsmap:v:325:y:2003:i:1:p:192-198
    DOI: 10.1016/S0378-4371(03)00198-5
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    Citations

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    Cited by:

    1. Stephen, Damian G. & Dixon, James A., 2011. "Strong anticipation: Multifractal cascade dynamics modulate scaling in synchronization behaviors," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 160-168.
    2. Iran R Roman & Auriel Washburn & Edward W Large & Chris Chafe & Takako Fujioka, 2019. "Delayed feedback embedded in perception-action coordination cycles results in anticipation behavior during synchronized rhythmic action: A dynamical systems approach," PLOS Computational Biology, Public Library of Science, vol. 15(10), pages 1-32, October.
    3. Auriel Washburn & Rachel W Kallen & Maurice Lamb & Nigel Stepp & Kevin Shockley & Michael J Richardson, 2019. "Feedback delays can enhance anticipatory synchronization in human-machine interaction," PLOS ONE, Public Library of Science, vol. 14(8), pages 1-17, August.
    4. Wang, Qingyun & Duan, Zhisheng & Feng, Zhaosheng & Chen, Guanrong & Lu, Qishao, 2008. "Synchronization transition in gap-junction-coupled leech neurons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(16), pages 4404-4410.

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