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Blinking Networks of Memristor Oscillatory Circuits in the Flux-Charge Domain

Multistability phenomena and complex nonlinear dynamics in memristor oscillators pave the way to obtain efficient solutions to optimization problems by means of novel computational architectures based on the interconnection of single–device oscillators. It is well-known that topological properties o...

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Detalles Bibliográficos
Autores principales: Lanza, Valentina, Secco, Jacopo, Corinto, Fernando
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Frontiers Media S.A. 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8100312/
https://www.ncbi.nlm.nih.gov/pubmed/33967676
http://dx.doi.org/10.3389/fnins.2021.618607
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author Lanza, Valentina
Secco, Jacopo
Corinto, Fernando
author_facet Lanza, Valentina
Secco, Jacopo
Corinto, Fernando
author_sort Lanza, Valentina
collection PubMed
description Multistability phenomena and complex nonlinear dynamics in memristor oscillators pave the way to obtain efficient solutions to optimization problems by means of novel computational architectures based on the interconnection of single–device oscillators. It is well-known that topological properties of interconnections permit to control synchronization and spatio–temporal patterns in oscillatory networks. When the interconnections can change in time with a given probability to connect two oscillators, the whole network acts as a complex network with blinking couplings. The work of has shown that a particular class of blinking complex networks are able to completely synchronize in a faster fashion with respect to other coupling strategies. This work focuses on the specific class of blinking complex networks made of Memristor–based Oscillatory Circuits (MOCs). By exploiting the recent Flux–Charge Analysis Method, we make clear that synchronization phenomena in blinking networks of memristor oscillators having stochastic couplings, i.e., Blinking Memristor Oscillatory Networks (BMONs), correspond to global periodic oscillations on invariant manifolds and the effect of a blinking link is to shift the nonlinear dynamics through the infinite (invariant) manifolds. Numerical simulations performed on MOCs prove that synchronization phenomena can be controlled just by changing the coupling amongst them.
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spelling pubmed-81003122021-05-07 Blinking Networks of Memristor Oscillatory Circuits in the Flux-Charge Domain Lanza, Valentina Secco, Jacopo Corinto, Fernando Front Neurosci Neuroscience Multistability phenomena and complex nonlinear dynamics in memristor oscillators pave the way to obtain efficient solutions to optimization problems by means of novel computational architectures based on the interconnection of single–device oscillators. It is well-known that topological properties of interconnections permit to control synchronization and spatio–temporal patterns in oscillatory networks. When the interconnections can change in time with a given probability to connect two oscillators, the whole network acts as a complex network with blinking couplings. The work of has shown that a particular class of blinking complex networks are able to completely synchronize in a faster fashion with respect to other coupling strategies. This work focuses on the specific class of blinking complex networks made of Memristor–based Oscillatory Circuits (MOCs). By exploiting the recent Flux–Charge Analysis Method, we make clear that synchronization phenomena in blinking networks of memristor oscillators having stochastic couplings, i.e., Blinking Memristor Oscillatory Networks (BMONs), correspond to global periodic oscillations on invariant manifolds and the effect of a blinking link is to shift the nonlinear dynamics through the infinite (invariant) manifolds. Numerical simulations performed on MOCs prove that synchronization phenomena can be controlled just by changing the coupling amongst them. Frontiers Media S.A. 2021-04-22 /pmc/articles/PMC8100312/ /pubmed/33967676 http://dx.doi.org/10.3389/fnins.2021.618607 Text en Copyright © 2021 Lanza, Secco and Corinto. https://creativecommons.org/licenses/by/4.0/This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
spellingShingle Neuroscience
Lanza, Valentina
Secco, Jacopo
Corinto, Fernando
Blinking Networks of Memristor Oscillatory Circuits in the Flux-Charge Domain
title Blinking Networks of Memristor Oscillatory Circuits in the Flux-Charge Domain
title_full Blinking Networks of Memristor Oscillatory Circuits in the Flux-Charge Domain
title_fullStr Blinking Networks of Memristor Oscillatory Circuits in the Flux-Charge Domain
title_full_unstemmed Blinking Networks of Memristor Oscillatory Circuits in the Flux-Charge Domain
title_short Blinking Networks of Memristor Oscillatory Circuits in the Flux-Charge Domain
title_sort blinking networks of memristor oscillatory circuits in the flux-charge domain
topic Neuroscience
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8100312/
https://www.ncbi.nlm.nih.gov/pubmed/33967676
http://dx.doi.org/10.3389/fnins.2021.618607
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