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Dynamics of array mechanical arms coupled each to a Fitzhugh-Nagumo neuron

Author

Listed:
  • Mbeunga, N.K.
  • Nana, B.
  • Woafo, P.

Abstract

In this work, an array of electromechanical systems driven by an electrical line of Fitzhugh-Nagumo neurons is analyzed. It is shown that a single electromechanical system can display different dynamical behaviors such as single and multiple pulse generation, transient and permanent chaos, and antimonotonicity according to the system parameters. In the case of an array of the electromechanical system constituted of a series of coupled discrete Fitzhugh-Nagumo neurons, the numerical simulation shows that as the action potential flows in the discrete array, each electromechanical system executes a pulse-like motion coming at each resting state as the electrical signal passes the node. The electromechanical system analyzed can be seen as a model for multi-periodic actuation processes or a leg model in a millipede system. Furthermore, this line can also carry an envelope of action potential and can be useful for various kinds of information processing systems.

Suggested Citation

  • Mbeunga, N.K. & Nana, B. & Woafo, P., 2021. "Dynamics of array mechanical arms coupled each to a Fitzhugh-Nagumo neuron," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    • Handle: RePEc:eee:chsofr:v:153:y:2021:i:p1:s0960077921008389
    DOI: 10.1016/j.chaos.2021.111484
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    References listed on IDEAS

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    1. Wang, Jiang & Zhang, Ting & Deng, Bin, 2007. "Synchronization of FitzHugh–Nagumo neurons in external electrical stimulation via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 30-38.
    2. Zhang, Guang-Jun & Xu, Jian-Xue, 2005. "Stochastic resonance induced by novel random transitions of motion of FitzHugh–Nagumo neuron model," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1439-1449.
    3. Nguyen, Le Hoa & Hong, Keum-Shik, 2011. "Synchronization of coupled chaotic FitzHugh–Nagumo neurons via Lyapunov functions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(4), pages 590-603.
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