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Efficient synchronization of structurally adaptive coupled Hindmarsh–Rose neurons

Author

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  • Moujahid, A.
  • d’Anjou, A.
  • Torrealdea, F.J.
  • Torrealdea, F.

Abstract

The use of spikes to carry information between brain areas implies complete or partial synchronization of the neurons involved. The degree of synchronization reached by two coupled systems and the energy cost of maintaining their synchronized behavior is highly dependent on the nature of the systems. For non-identical systems the maintenance of a synchronized regime is energetically a costly process. In this work, we study conditions under which two non-identical electrically coupled neurons can reach an efficient regime of synchronization at low energy cost. We show that the energy consumption required to keep the synchronized regime can be spontaneously reduced if the receiving neuron has adaptive mechanisms able to bring its biological parameters closer in value to the corresponding ones in the sending neuron.

Suggested Citation

  • Moujahid, A. & d’Anjou, A. & Torrealdea, F.J. & Torrealdea, F., 2011. "Efficient synchronization of structurally adaptive coupled Hindmarsh–Rose neurons," Chaos, Solitons & Fractals, Elsevier, vol. 44(11), pages 929-933.
    • Handle: RePEc:eee:chsofr:v:44:y:2011:i:11:p:929-933
    DOI: 10.1016/j.chaos.2011.07.005
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    Cited by:

    1. Liu, Dan & Zhao, Song & Luo, Xiaoyuan & Yuan, Yi, 2021. "Synchronization for fractional-order extended Hindmarsh-Rose neuronal models with magneto-acoustical stimulation input," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    2. Guo, Yitong & Xie, Ying & Ma, Jun, 2023. "Nonlinear responses in a neural network under spatial electromagnetic radiation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    3. Ding, Dawei & Yan, Jie & Wang, Nian & Liang, Dong, 2017. "Pinning synchronization of fractional order complex-variable dynamical networks with time-varying coupling," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 41-50.
    4. Zhou, Ping & Hu, Xikui & Zhu, Zhigang & Ma, Jun, 2021. "What is the most suitable Lyapunov function?," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    5. Moujahid, A. & Vadillo, F., 2022. "Energy analysis of bursting Hindmarsh-Rose neurons with time-delayed coupling," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

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