Induced Synchronization of Chaos-Chaos Intermittency Maintaining Asynchronous State of Chaotic Orbits by External Feedback Signals

Sou NOBUKAWA; Haruhiko NISHIMURA; Teruya YAMANISHI; Hirotaka DOHO

doi:10.1587/transfun.E102.A.524

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Induced Synchronization of Chaos-Chaos Intermittency Maintaining Asynchronous State of Chaotic Orbits by External Feedback Signals

Sou NOBUKAWA, Haruhiko NISHIMURA, Teruya YAMANISHI, Hirotaka DOHO

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Summary :

It is well-known that chaos synchronization in coupled chaotic systems arises from conditions with specific coupling, such as complete, phase, and generalized synchronization. Recently, several methods for controlling this chaos synchronization using a nonlinear feedback controller have been proposed. In this study, we applied a proposed reducing range of orbit feedback method to coupled cubic maps in order to control synchronization of chaos-chaos intermittency. By evaluating the system's behavior and its dependence on the feedback and coupling strength, we confirmed that synchronization of chaos-chaos intermittency could be induced using this nonlinear feedback controller, despite the fact that the asynchronous state within a unilateral attractor is maintained. In particular, the degree of synchronization is high at the edge between the chaos-chaos intermittency parameter region for feedback strength and the non-chaos-chaos intermittency region. These characteristics are largely maintained on large-scale coupled cubic maps.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E102-A No.3 pp.524-531

Publication Date: 2019/03/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E102.A.524

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

synchronization, chaos-chaos intermittency, control

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Sou NOBUKAWA, Haruhiko NISHIMURA, Teruya YAMANISHI, Hirotaka DOHO, "Induced Synchronization of Chaos-Chaos Intermittency Maintaining Asynchronous State of Chaotic Orbits by External Feedback Signals" in IEICE TRANSACTIONS on Fundamentals, vol. E102-A, no. 3, pp. 524-531, March 2019, doi: 10.1587/transfun.E102.A.524.
Abstract: It is well-known that chaos synchronization in coupled chaotic systems arises from conditions with specific coupling, such as complete, phase, and generalized synchronization. Recently, several methods for controlling this chaos synchronization using a nonlinear feedback controller have been proposed. In this study, we applied a proposed reducing range of orbit feedback method to coupled cubic maps in order to control synchronization of chaos-chaos intermittency. By evaluating the system's behavior and its dependence on the feedback and coupling strength, we confirmed that synchronization of chaos-chaos intermittency could be induced using this nonlinear feedback controller, despite the fact that the asynchronous state within a unilateral attractor is maintained. In particular, the degree of synchronization is high at the edge between the chaos-chaos intermittency parameter region for feedback strength and the non-chaos-chaos intermittency region. These characteristics are largely maintained on large-scale coupled cubic maps.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E102.A.524/_p

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@ARTICLE{e102-a_3_524,
author={Sou NOBUKAWA, Haruhiko NISHIMURA, Teruya YAMANISHI, Hirotaka DOHO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Induced Synchronization of Chaos-Chaos Intermittency Maintaining Asynchronous State of Chaotic Orbits by External Feedback Signals},
year={2019},
volume={E102-A},
number={3},
pages={524-531},
abstract={It is well-known that chaos synchronization in coupled chaotic systems arises from conditions with specific coupling, such as complete, phase, and generalized synchronization. Recently, several methods for controlling this chaos synchronization using a nonlinear feedback controller have been proposed. In this study, we applied a proposed reducing range of orbit feedback method to coupled cubic maps in order to control synchronization of chaos-chaos intermittency. By evaluating the system's behavior and its dependence on the feedback and coupling strength, we confirmed that synchronization of chaos-chaos intermittency could be induced using this nonlinear feedback controller, despite the fact that the asynchronous state within a unilateral attractor is maintained. In particular, the degree of synchronization is high at the edge between the chaos-chaos intermittency parameter region for feedback strength and the non-chaos-chaos intermittency region. These characteristics are largely maintained on large-scale coupled cubic maps.},
keywords={},
doi={10.1587/transfun.E102.A.524},
ISSN={1745-1337},
month={March},}

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TY - JOUR
TI - Induced Synchronization of Chaos-Chaos Intermittency Maintaining Asynchronous State of Chaotic Orbits by External Feedback Signals
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 524
EP - 531
AU - Sou NOBUKAWA
AU - Haruhiko NISHIMURA
AU - Teruya YAMANISHI
AU - Hirotaka DOHO
PY - 2019
DO - 10.1587/transfun.E102.A.524
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E102-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2019
AB - It is well-known that chaos synchronization in coupled chaotic systems arises from conditions with specific coupling, such as complete, phase, and generalized synchronization. Recently, several methods for controlling this chaos synchronization using a nonlinear feedback controller have been proposed. In this study, we applied a proposed reducing range of orbit feedback method to coupled cubic maps in order to control synchronization of chaos-chaos intermittency. By evaluating the system's behavior and its dependence on the feedback and coupling strength, we confirmed that synchronization of chaos-chaos intermittency could be induced using this nonlinear feedback controller, despite the fact that the asynchronous state within a unilateral attractor is maintained. In particular, the degree of synchronization is high at the edge between the chaos-chaos intermittency parameter region for feedback strength and the non-chaos-chaos intermittency region. These characteristics are largely maintained on large-scale coupled cubic maps.
ER -