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Coupling of neurons favors the bursting behavior and the predominance of the tripod gait

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  • Serrano, S.
  • Barrio, R.
  • Lozano, Á.
  • Mayora-Cebollero, A.
  • Vigara, R.

Abstract

In nature, it has been observed that the dominant locomotor pattern of hexapod insects is often the tripod gait. Our analysis of a Central Pattern Generator (CPG) of the insect movement gives reasons for this dominance: the mathematical CPG model presents the tripod pattern with bursting dynamics in a parametric region where an isolated neuron has a simpler behavior. That is, we show how the coupling of small networks of neurons makes the system to continue having bursting dynamics even when an isolated neuron would be spiking. Moreover, in parametric regions where a neuron shows chaotic dynamics, the CPG exhibits a chaotic synchronization phenomenon: the chaotic tripod gait. In other words, coupling loves bursting… and tripod gait. The hyperchaotic phenomenon is also present and we locate regions where up to four Lyapunov exponents are positive.

Suggested Citation

  • Serrano, S. & Barrio, R. & Lozano, Á. & Mayora-Cebollero, A. & Vigara, R., 2024. "Coupling of neurons favors the bursting behavior and the predominance of the tripod gait," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    • Handle: RePEc:eee:chsofr:v:184:y:2024:i:c:s0960077924004806
    DOI: 10.1016/j.chaos.2024.114928
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    References listed on IDEAS

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    1. Michael P. Nusbaum & Mark P. Beenhakker, 2002. "A small-systems approach to motor pattern generation," Nature, Nature, vol. 417(6886), pages 343-350, May.
    2. Pavan Ramdya & Robin Thandiackal & Raphael Cherney & Thibault Asselborn & Richard Benton & Auke Jan Ijspeert & Dario Floreano, 2017. "Climbing favours the tripod gait over alternative faster insect gaits," Nature Communications, Nature, vol. 8(1), pages 1-11, April.
    3. Deng, Quanli & Wang, Chunhua & Lin, Hairong, 2024. "Memristive Hopfield neural network dynamics with heterogeneous activation functions and its application," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
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