Recent Trends of Controlling Chaotic Resonance and Future Perspectives

Stochastic resonance is a phenomenon in which the effects of additive noise strengthen the signal response against weak input signals in non-linear systems with a specific barrier or threshold. Recently, several studies on stochastic resonance have been conducted considering various engineering appl...

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Autores principales:	Sou Nobukawa, Haruhiko Nishimura, Nobuhiko Wagatsuma, Keiichiro Inagaki, Teruya Yamanishi, Tetsuya Takahashi
Formato:	article
Lenguaje:	EN
Publicado:	Frontiers Media S.A. 2021
Materias:	chaotic resonance stochastic resonance feedback control chaos control synchronization Applied mathematics. Quantitative methods T57-57.97 Probabilities. Mathematical statistics QA273-280
Acceso en línea:	https://doaj.org/article/f20a13aab343460e94f0950da02d431c
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id	oai:doaj.org-article:f20a13aab343460e94f0950da02d431c
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spelling	oai:doaj.org-article:f20a13aab343460e94f0950da02d431c2021-12-01T19:15:42ZRecent Trends of Controlling Chaotic Resonance and Future Perspectives2297-468710.3389/fams.2021.760568https://doaj.org/article/f20a13aab343460e94f0950da02d431c2021-11-01T00:00:00Zhttps://www.frontiersin.org/articles/10.3389/fams.2021.760568/fullhttps://doaj.org/toc/2297-4687Stochastic resonance is a phenomenon in which the effects of additive noise strengthen the signal response against weak input signals in non-linear systems with a specific barrier or threshold. Recently, several studies on stochastic resonance have been conducted considering various engineering applications. In addition to additive stochastic noise, deterministic chaos causes a phenomenon similar to the stochastic resonance, which is known as chaotic resonance. The signal response of the chaotic resonance is maximized around the attractor-merging bifurcation for the emergence of chaos-chaos intermittency. Previous studies have shown that the sensitivity of chaotic resonance is higher than that of stochastic resonance. However, the engineering applications of chaotic resonance are limited. There are two possible reasons for this. First, the stochastic noise required to induce stochastic resonance can be easily controlled from outside of the stochastic resonance system. Conversely, in chaotic resonance, the attractor-merging bifurcation must be induced via the adjustment of internal system parameters. In many cases, achieving this adjustment from outside the system is difficult, particularly in biological systems. Second, chaotic resonance degrades owing to the influence of noise, which is generally inevitable in real-world systems. Herein, we introduce the findings of previous studies concerning chaotic resonance over the past decade and summarize the recent findings and conceivable approaches for the reduced region of orbit feedback method to address the aforementioned difficulties.Sou NobukawaSou NobukawaHaruhiko NishimuraNobuhiko WagatsumaKeiichiro InagakiTeruya YamanishiTetsuya TakahashiTetsuya TakahashiTetsuya TakahashiFrontiers Media S.A.articlechaotic resonancestochastic resonancefeedback controlchaos controlsynchronizationApplied mathematics. Quantitative methodsT57-57.97Probabilities. Mathematical statisticsQA273-280ENFrontiers in Applied Mathematics and Statistics, Vol 7 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	chaotic resonance stochastic resonance feedback control chaos control synchronization Applied mathematics. Quantitative methods T57-57.97 Probabilities. Mathematical statistics QA273-280
spellingShingle	chaotic resonance stochastic resonance feedback control chaos control synchronization Applied mathematics. Quantitative methods T57-57.97 Probabilities. Mathematical statistics QA273-280 Sou Nobukawa Sou Nobukawa Haruhiko Nishimura Nobuhiko Wagatsuma Keiichiro Inagaki Teruya Yamanishi Tetsuya Takahashi Tetsuya Takahashi Tetsuya Takahashi Recent Trends of Controlling Chaotic Resonance and Future Perspectives
description	Stochastic resonance is a phenomenon in which the effects of additive noise strengthen the signal response against weak input signals in non-linear systems with a specific barrier or threshold. Recently, several studies on stochastic resonance have been conducted considering various engineering applications. In addition to additive stochastic noise, deterministic chaos causes a phenomenon similar to the stochastic resonance, which is known as chaotic resonance. The signal response of the chaotic resonance is maximized around the attractor-merging bifurcation for the emergence of chaos-chaos intermittency. Previous studies have shown that the sensitivity of chaotic resonance is higher than that of stochastic resonance. However, the engineering applications of chaotic resonance are limited. There are two possible reasons for this. First, the stochastic noise required to induce stochastic resonance can be easily controlled from outside of the stochastic resonance system. Conversely, in chaotic resonance, the attractor-merging bifurcation must be induced via the adjustment of internal system parameters. In many cases, achieving this adjustment from outside the system is difficult, particularly in biological systems. Second, chaotic resonance degrades owing to the influence of noise, which is generally inevitable in real-world systems. Herein, we introduce the findings of previous studies concerning chaotic resonance over the past decade and summarize the recent findings and conceivable approaches for the reduced region of orbit feedback method to address the aforementioned difficulties.
format	article
author	Sou Nobukawa Sou Nobukawa Haruhiko Nishimura Nobuhiko Wagatsuma Keiichiro Inagaki Teruya Yamanishi Tetsuya Takahashi Tetsuya Takahashi Tetsuya Takahashi
author_facet	Sou Nobukawa Sou Nobukawa Haruhiko Nishimura Nobuhiko Wagatsuma Keiichiro Inagaki Teruya Yamanishi Tetsuya Takahashi Tetsuya Takahashi Tetsuya Takahashi
author_sort	Sou Nobukawa
title	Recent Trends of Controlling Chaotic Resonance and Future Perspectives
title_short	Recent Trends of Controlling Chaotic Resonance and Future Perspectives
title_full	Recent Trends of Controlling Chaotic Resonance and Future Perspectives
title_fullStr	Recent Trends of Controlling Chaotic Resonance and Future Perspectives
title_full_unstemmed	Recent Trends of Controlling Chaotic Resonance and Future Perspectives
title_sort	recent trends of controlling chaotic resonance and future perspectives
publisher	Frontiers Media S.A.
publishDate	2021
url	https://doaj.org/article/f20a13aab343460e94f0950da02d431c
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Recent Trends of Controlling Chaotic Resonance and Future Perspectives

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