Complex Dynamics of Coupled Neurons Through a Memristive Synapse: Extreme Multistability and Its Control With Selection of the Desired State

In this contribution, a new configuration involving the coupling of a 2D Fitzhugh-Nagumo (FN) neuron with a 3D Hindmarsh-Rose (HR) neuron via a memristive synapse is investigated. The self-excited dynamics of the coupled neurons is revealed after the analysis of the equilibria of the model. During t...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. II, Express briefs Express briefs, 2023-02, Vol.70 (2), p.791-795
Main Authors: Njitacke, Zeric Tabekoueng, Awrejcewicz, Jan, Telem, Adelaide Nicole Kengnou, Fozin, Theophile Fonzin, Kengne, Jacques
Format: Article
Language:English
Subjects:
2D FitzHugh-Nagumo neuron
3D Hindmarsh-Rose neuron
Bifurcation
Circuit design
circuit implementation
Circuits
Electronic circuits
extreme multistability
Integrated circuit modeling
Mathematical models
memristive synapse
Memristors
Neurons
noninvasive control scheme
Synapses
Three-dimensional displays
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Summary:In this contribution, a new configuration involving the coupling of a 2D Fitzhugh-Nagumo (FN) neuron with a 3D Hindmarsh-Rose (HR) neuron via a memristive synapse is investigated. The self-excited dynamics of the coupled neurons is revealed after the analysis of the equilibria of the model. During the numerical investigation of the model, resting activity, periodic spikes, periodic and chaotic bursts are found. More interestingly, the coupled neurons display the striking and rare phenomenon of homogeneous extreme multistability. It corresponds to the coexistence of an infinite number of firing activities of the same nature but located at different levels in the phase space. Furthermore, the selection of the desired electrical activity dynamics is also underlined through the noninvasive control scheme. Finally, an electronic circuit of the coupled neuron is designed and investigated in the Pspice environment to further support the obtained results.
ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2022.3172141