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Complex Dynamics of Coupled Neurons Through a Memristive Synapse: Extreme Multistability and Its Control With Selection of the Desired State | IEEE Journals & Magazine | IEEE Xplore

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


Abstract:

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 inve...Show More

Abstract:

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.
Published in: IEEE Transactions on Circuits and Systems II: Express Briefs ( Volume: 70, Issue: 2, February 2023)
Page(s): 791 - 795
Date of Publication: 03 May 2022

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