Department of Electrical and Electronic Engineering, College of Technology (COT), University of Buea, P.O. Box 63, Buea, Cameroon.
School of Fundamental Sciences, Massey University, Palmerston North, Private Bag 4410, New Zealand.
Chaos. 2022 May;32(5):053114. doi: 10.1063/5.0086182.
The phenomenon of hidden heterogeneous extreme multistability is rarely reported in coupled neurons. This phenomenon is investigated in this contribution using a model of a 2D FitzHugh-Nagumo neuron coupled with a 3D Hindmarsh-Rose neuron through a multistable memristive synapse. The investigation of the equilibria revealed that the coupled neuron model is equilibrium free and, thus, displays a hidden dynamics. Some traditional nonlinear analysis tools are used to demonstrate that the heterogeneous neuron system is able to exhibit the coexistence of an infinite number of electrical activities involving both periodic and chaotic patterns. Of particular interest, a noninvasive control method is applied to suppress all the periodic coexisting activities, while preserving only the desired chaotic one. Finally, an electronic circuit of the coupled neurons is designed in the PSpice environment and used to further support some results of the theoretical investigations.
隐藏的异质极端多稳定性现象在耦合神经元中很少被报道。本研究使用一个二维 FitzHugh-Nagumo 神经元模型和一个三维 Hindmarsh-Rose 神经元模型，通过一个多稳态忆阻突触进行耦合，研究了这一现象。对平衡点的研究表明，耦合神经元模型是无平衡点的，因此表现出隐藏的动力学。一些传统的非线性分析工具被用来证明异质神经元系统能够表现出无限数量的电活动共存，包括周期和混沌模式。特别有趣的是，应用一种非侵入性的控制方法来抑制所有周期性共存的活动，而只保留所需的混沌活动。最后，在 PSpice 环境中设计了耦合神经元的电子电路，并用于进一步支持理论研究的一些结果。
