Controlling Chaotic Resonance in Systems with Chaos-Chaos Intermittency Using External Feedback

Sou NOBUKAWA; Haruhiko NISHIMURA; Teruya YAMANISHI; Hirotaka DOHO

doi:10.1587/transfun.E101.A.1900

Controlling Chaotic Resonance in Systems with Chaos-Chaos Intermittency Using External Feedback

Sou NOBUKAWA, Haruhiko NISHIMURA, Teruya YAMANISHI, Hirotaka DOHO

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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.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E101-A No.11 pp.1900-1906

Publication Date: 2018/11/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E101.A.1900

Type of Manuscript: PAPER

Category: Nonlinear Problems

Authors

Sou NOBUKAWA
  Chiba Institute of Technology
Haruhiko NISHIMURA
  University of Hyogo
Teruya YAMANISHI
  Fukui University of Technology
Hirotaka DOHO
  University of Hyogo,Kochi University

Keyword

chaotic resonance, chaotic synchronization, chaos control, cubic map

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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 -