Journal
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
Volume 70, Issue 2, Pages 791-795Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSII.2022.3172141
Keywords
Neurons; Synapses; Memristors; Three-dimensional displays; Mathematical models; Integrated circuit modeling; Bifurcation; 2D FitzHugh-Nagumo neuron; 3D Hindmarsh-Rose neuron; memristive synapse; extreme multistability; noninvasive control scheme; circuit implementation
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In this study, 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 analyzing the equilibria of the model. Resting activity, periodic spikes, periodic and chaotic bursts are found during the numerical investigation of the model. The coupled neurons display the rare phenomenon of homogeneous extreme multistability, where an infinite number of firing activities of the same nature but located at different levels in the phase space coexist. The selection of desired electrical activity dynamics is also emphasized through a noninvasive control scheme. An electronic circuit of the coupled neuron is designed and investigated to support the obtained results.
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.
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