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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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Published in: | IEEE transactions on circuits and systems. II, Express briefs Express briefs, 2023-02, Vol.70 (2), p.791-795 |
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description | 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. |
doi_str_mv | 10.1109/TCSII.2022.3172141 |
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II, Express briefs</title><addtitle>TCSII</addtitle><description>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. 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II, Express briefs</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Njitacke, Zeric Tabekoueng</au><au>Awrejcewicz, Jan</au><au>Telem, Adelaide Nicole Kengnou</au><au>Fozin, Theophile Fonzin</au><au>Kengne, Jacques</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Complex Dynamics of Coupled Neurons Through a Memristive Synapse: Extreme Multistability and Its Control With Selection of the Desired State</atitle><jtitle>IEEE transactions on circuits and systems. II, Express briefs</jtitle><stitle>TCSII</stitle><date>2023-02-01</date><risdate>2023</risdate><volume>70</volume><issue>2</issue><spage>791</spage><epage>795</epage><pages>791-795</pages><issn>1549-7747</issn><eissn>1558-3791</eissn><coden>ITCSFK</coden><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. 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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 |
title | Complex Dynamics of Coupled Neurons Through a Memristive Synapse: Extreme Multistability and Its Control With Selection of the Desired State |
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