Chaotic Resonance in Typical Routes to Chaos in the Izhikevich Neuron Model

Abstract Chaotic resonance (CR), in which a system responds to a weak signal through the effects of chaotic activities, is a known function of chaos in neural systems. The current belief suggests that chaotic states are induced by different routes to chaos in spiking neural systems. However, few stu...

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Autores principales: Sou Nobukawa, Haruhiko Nishimura, Teruya Yamanishi
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Lenguaje:EN
Publicado: Nature Portfolio 2017
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Acceso en línea:https://doaj.org/article/1fc20dcdc77b496faa441ffeeb1b45b5
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spelling oai:doaj.org-article:1fc20dcdc77b496faa441ffeeb1b45b52021-12-02T11:53:13ZChaotic Resonance in Typical Routes to Chaos in the Izhikevich Neuron Model10.1038/s41598-017-01511-y2045-2322https://doaj.org/article/1fc20dcdc77b496faa441ffeeb1b45b52017-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-01511-yhttps://doaj.org/toc/2045-2322Abstract Chaotic resonance (CR), in which a system responds to a weak signal through the effects of chaotic activities, is a known function of chaos in neural systems. The current belief suggests that chaotic states are induced by different routes to chaos in spiking neural systems. However, few studies have compared the efficiency of signal responses in CR across the different chaotic states in spiking neural systems. We focused herein on the Izhikevich neuron model, comparing the characteristics of CR in the chaotic states arising through the period-doubling or tangent bifurcation routes. We found that the signal response in CR had a unimodal maximum with respect to the stability of chaotic orbits in the tested chaotic states. Furthermore, the efficiency of signal responses at the edge of chaos became especially high as a result of synchronization between the input signal and the periodic component in chaotic spiking activity.Sou NobukawaHaruhiko NishimuraTeruya YamanishiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-9 (2017)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Sou Nobukawa
Haruhiko Nishimura
Teruya Yamanishi
Chaotic Resonance in Typical Routes to Chaos in the Izhikevich Neuron Model
description Abstract Chaotic resonance (CR), in which a system responds to a weak signal through the effects of chaotic activities, is a known function of chaos in neural systems. The current belief suggests that chaotic states are induced by different routes to chaos in spiking neural systems. However, few studies have compared the efficiency of signal responses in CR across the different chaotic states in spiking neural systems. We focused herein on the Izhikevich neuron model, comparing the characteristics of CR in the chaotic states arising through the period-doubling or tangent bifurcation routes. We found that the signal response in CR had a unimodal maximum with respect to the stability of chaotic orbits in the tested chaotic states. Furthermore, the efficiency of signal responses at the edge of chaos became especially high as a result of synchronization between the input signal and the periodic component in chaotic spiking activity.
format article
author Sou Nobukawa
Haruhiko Nishimura
Teruya Yamanishi
author_facet Sou Nobukawa
Haruhiko Nishimura
Teruya Yamanishi
author_sort Sou Nobukawa
title Chaotic Resonance in Typical Routes to Chaos in the Izhikevich Neuron Model
title_short Chaotic Resonance in Typical Routes to Chaos in the Izhikevich Neuron Model
title_full Chaotic Resonance in Typical Routes to Chaos in the Izhikevich Neuron Model
title_fullStr Chaotic Resonance in Typical Routes to Chaos in the Izhikevich Neuron Model
title_full_unstemmed Chaotic Resonance in Typical Routes to Chaos in the Izhikevich Neuron Model
title_sort chaotic resonance in typical routes to chaos in the izhikevich neuron model
publisher Nature Portfolio
publishDate 2017
url https://doaj.org/article/1fc20dcdc77b496faa441ffeeb1b45b5
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AT haruhikonishimura chaoticresonanceintypicalroutestochaosintheizhikevichneuronmodel
AT teruyayamanishi chaoticresonanceintypicalroutestochaosintheizhikevichneuronmodel
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