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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Nature Portfolio
2017
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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) |
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Medicine R Science Q Sou Nobukawa Haruhiko Nishimura Teruya Yamanishi Chaotic Resonance in Typical Routes to Chaos in the Izhikevich Neuron Model |
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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 |
work_keys_str_mv |
AT sounobukawa chaoticresonanceintypicalroutestochaosintheizhikevichneuronmodel AT haruhikonishimura chaoticresonanceintypicalroutestochaosintheizhikevichneuronmodel AT teruyayamanishi chaoticresonanceintypicalroutestochaosintheizhikevichneuronmodel |
_version_ |
1718394854601392128 |