The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
La résonance stochastique (SR) est un phénomène dans lequel la réponse du signal dans un système non linéaire est améliorée par le bruit. On sait que les activités fluctuantes dans le chaos déterministe provoquent un phénomène appelé résonance chaotique (CR), similaire à la SR. La plupart des études précédentes sur la CR ont montré que ces réponses au signal étaient contrôlées par des paramètres internes. Cependant, dans plusieurs applications de la CR, il est difficile de contrôler ces paramètres de manière externe, notamment dans les systèmes biologiques. Dans cette étude, pour surmonter cette difficulté, nous proposons une méthode permettant de contrôler la réponse du signal du CR en ajustant la force du contrôle de rétroaction externe. En utilisant cette méthode, nous démontrons le contrôle du CR dans une carte cubique unidimensionnelle, où le CR résulte du passage d'un chaos-chaos à un signal d'entrée faible.
Sou NOBUKAWA
Chiba Institute of Technology
Haruhiko NISHIMURA
University of Hyogo
Teruya YAMANISHI
Fukui University of Technology
Hirotaka DOHO
University of Hyogo,Kochi University
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Sou NOBUKAWA, Haruhiko NISHIMURA, Teruya YAMANISHI, Hirotaka DOHO, "Controlling Chaotic Resonance in Systems with Chaos-Chaos Intermittency Using External Feedback" in IEICE TRANSACTIONS on Fundamentals,
vol. E101-A, no. 11, pp. 1900-1906, November 2018, doi: 10.1587/transfun.E101.A.1900.
Abstract: Stochastic resonance (SR) is a phenomenon in which signal response in a nonlinear system is enhanced by noise. Fluctuating activities in deterministic chaos are known to cause a phenomenon called chaotic resonance (CR), which is similar to SR. Most previous studies on CR showed that these signal responses were controlled by internal parameters. However, in several applications of CR, it is difficult to control these parameters externally, particularly in biological systems. In this study, to overcome this difficulty, we propose a method for controlling the signal response of CR by adjusting the strength of external feedback control. By using this method, we demonstrate the control of CR in a one-dimensional cubic map, where CR arises from chaos-chaos switching to a weak input signal.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E101.A.1900/_p
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@ARTICLE{e101-a_11_1900,
author={Sou NOBUKAWA, Haruhiko NISHIMURA, Teruya YAMANISHI, Hirotaka DOHO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Controlling Chaotic Resonance in Systems with Chaos-Chaos Intermittency Using External Feedback},
year={2018},
volume={E101-A},
number={11},
pages={1900-1906},
abstract={Stochastic resonance (SR) is a phenomenon in which signal response in a nonlinear system is enhanced by noise. Fluctuating activities in deterministic chaos are known to cause a phenomenon called chaotic resonance (CR), which is similar to SR. Most previous studies on CR showed that these signal responses were controlled by internal parameters. However, in several applications of CR, it is difficult to control these parameters externally, particularly in biological systems. In this study, to overcome this difficulty, we propose a method for controlling the signal response of CR by adjusting the strength of external feedback control. By using this method, we demonstrate the control of CR in a one-dimensional cubic map, where CR arises from chaos-chaos switching to a weak input signal.},
keywords={},
doi={10.1587/transfun.E101.A.1900},
ISSN={1745-1337},
month={November},}
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TY - JOUR
TI - Controlling Chaotic Resonance in Systems with Chaos-Chaos Intermittency Using External Feedback
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1900
EP - 1906
AU - Sou NOBUKAWA
AU - Haruhiko NISHIMURA
AU - Teruya YAMANISHI
AU - Hirotaka DOHO
PY - 2018
DO - 10.1587/transfun.E101.A.1900
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E101-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2018
AB - Stochastic resonance (SR) is a phenomenon in which signal response in a nonlinear system is enhanced by noise. Fluctuating activities in deterministic chaos are known to cause a phenomenon called chaotic resonance (CR), which is similar to SR. Most previous studies on CR showed that these signal responses were controlled by internal parameters. However, in several applications of CR, it is difficult to control these parameters externally, particularly in biological systems. In this study, to overcome this difficulty, we propose a method for controlling the signal response of CR by adjusting the strength of external feedback control. By using this method, we demonstrate the control of CR in a one-dimensional cubic map, where CR arises from chaos-chaos switching to a weak input signal.
ER -