Collective dynamics of a full heterogeneous network of neurons: experimental validation

Document Type : Article

Authors

1 - Department of Electrical and Electronic Engineering, College of Technology (COT), University of Buea, P.O.Box 63, Buea (Cameroon) - Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, ul. Stefanowskiego 1/15, 90-537 Lodz, Poland

2 Centre for Artificial Intelligence, Chennai Institute of Technology, India

3 Laboratory of Energy-Electric and Electronic Systems, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon

4 Information Technology Collage, Imam Ja’afar Al-Sadiq University, 10001, Baghdad, Iraq

5 Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, ul. Stefanowskiego 1/15, 90-537 Lodz, Poland

Abstract

This contribution introduces and investigates a small network of type-I, type-II, and type-III neurons. The considered network is made up of one Hindmarsh-Rose neuron (type-I), one FitzHugh-Nagumo neuron (type-II), and one Wilson neuron (type-III), all connected via a gap junction. The investigation of the stability in the presence of an external current revealed that the network is equilibrium-free; therefore, the network exhibits hidden collective behavior. The dynamical behavior of the model has been evaluated using the two-dimensional Largest Lyapunov Exponent (2D LLE), and it has been discovered that the network exhibits either regular or irregular firing patterns as the synaptic weights vary. It is also found that the network is able to exhibit the coexistence of firing activities involving coherent and incoherent spiking or coherent and incoherent bursting. Finally, the microcontroller integration of the set of considered neurons is presented, and the findings support those of the numerical simulations.

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