Large period spiking andburstingin anexcitable system with memory

Excitability in dynamical systems refers to the ability to transition from a resting stationary state to a spiking state when a parameter is varied. It is the mechanism behind spike generation in neurons. Optical non-linear resonators can be excitable systems, but they usually present a fast respons...

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Main Authors: Braeckeveldt Bertrand, Peters Kevin, Verdonschot Bart, Rodriguez Said, Maes Bjorn
Format: Article
Language:English
Published: EDP Sciences 2023-01-01
Series:EPJ Web of Conferences
Online Access:https://www.epj-conferences.org/articles/epjconf/pdf/2023/13/epjconf_eosam2023_06032.pdf
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author Braeckeveldt Bertrand
Peters Kevin
Verdonschot Bart
Rodriguez Said
Maes Bjorn
author_facet Braeckeveldt Bertrand
Peters Kevin
Verdonschot Bart
Rodriguez Said
Maes Bjorn
author_sort Braeckeveldt Bertrand
collection DOAJ
description Excitability in dynamical systems refers to the ability to transition from a resting stationary state to a spiking state when a parameter is varied. It is the mechanism behind spike generation in neurons. Optical non-linear resonators can be excitable systems, but they usually present a fast response compared to neuronal systems, and they prove difficult to observe experimentally. We propose investigating optical resonators with delayed Kerr effects, specifically in two different geometries: an oil-filled single-mode cavity with thermo-optical nonlinearity, and two coupled, symmetrically driven cavities. When the Kerr effect is delayed, even a single cavity exhibits excitability. However, we show that it suffers from limitations on the thermo-optical relaxation time in order to be realized experimentally. We overcome these limitations using the geometry with coupled cavities, where the thermo-optical relaxation time acts as a memory. This slow variable enables to tailor the spiking frequency and it mimics neuronal behaviours by enabling large-period spiking.
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spelling doaj.art-a4cb295bb7e544cab2ff65b2a5a2b9082023-11-07T10:20:28ZengEDP SciencesEPJ Web of Conferences2100-014X2023-01-012870603210.1051/epjconf/202328706032epjconf_eosam2023_06032Large period spiking andburstingin anexcitable system with memoryBraeckeveldt Bertrand0Peters Kevin1Verdonschot Bart2Rodriguez Said3Maes Bjorn4Micro- and Nanophotonic Materials GroupCenter for Nanophotonics, AMOLFCenter for Nanophotonics, AMOLFCenter for Nanophotonics, AMOLFMicro- and Nanophotonic Materials GroupExcitability in dynamical systems refers to the ability to transition from a resting stationary state to a spiking state when a parameter is varied. It is the mechanism behind spike generation in neurons. Optical non-linear resonators can be excitable systems, but they usually present a fast response compared to neuronal systems, and they prove difficult to observe experimentally. We propose investigating optical resonators with delayed Kerr effects, specifically in two different geometries: an oil-filled single-mode cavity with thermo-optical nonlinearity, and two coupled, symmetrically driven cavities. When the Kerr effect is delayed, even a single cavity exhibits excitability. However, we show that it suffers from limitations on the thermo-optical relaxation time in order to be realized experimentally. We overcome these limitations using the geometry with coupled cavities, where the thermo-optical relaxation time acts as a memory. This slow variable enables to tailor the spiking frequency and it mimics neuronal behaviours by enabling large-period spiking.https://www.epj-conferences.org/articles/epjconf/pdf/2023/13/epjconf_eosam2023_06032.pdf
spellingShingle Braeckeveldt Bertrand
Peters Kevin
Verdonschot Bart
Rodriguez Said
Maes Bjorn
Large period spiking andburstingin anexcitable system with memory
EPJ Web of Conferences
title Large period spiking andburstingin anexcitable system with memory
title_full Large period spiking andburstingin anexcitable system with memory
title_fullStr Large period spiking andburstingin anexcitable system with memory
title_full_unstemmed Large period spiking andburstingin anexcitable system with memory
title_short Large period spiking andburstingin anexcitable system with memory
title_sort large period spiking andburstingin anexcitable system with memory
url https://www.epj-conferences.org/articles/epjconf/pdf/2023/13/epjconf_eosam2023_06032.pdf
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AT verdonschotbart largeperiodspikingandburstinginanexcitablesystemwithmemory
AT rodriguezsaid largeperiodspikingandburstinginanexcitablesystemwithmemory
AT maesbjorn largeperiodspikingandburstinginanexcitablesystemwithmemory