ID | 118840 |
Author |
Katayama, Michiru
Tokushima University
Ikeda, Kenji
Tokushima University
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Ueta, Tetsushi
Tokushima University
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Keywords | Chaos control
chaos intermittency
bifurcation
OGY method
laminar regime
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Content Type |
Journal Article
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Description | Chaos intermittency is composed of a laminar regime, which exhibits almost periodic motion, and a burst regime, which exhibits chaotic motion; it is known that in chaos intermittency, switching between these regimes occurs irregularly. In the laminar regime of chaos intermittency, the periodic solution before the saddle node bifurcation is closely related to its generation, and its behavior becomes periodic in a short time; the laminar is not, however, a periodic solution, and there are no unstable periodic solutions nearby. Most chaos control methods cannot be applied to the problem of stabilizing a laminar response to a periodic solution since they refer to information about unstable periodic orbits. In this paper, we demonstrate a control method that can be applied to the control target with laminar phase of a dynamical system exhibiting chaos intermittency. This method records the time series of a periodic solution prior to the saddle node bifurcation as a pseudo-periodic orbit and feeds it back to the control target. We report that when this control method is applied to a circuit model, laminar motion can be stabilized to a periodic solution via control inputs of very small magnitude, for which robust control can be obtained.
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Journal Title |
International Journal of Bifurcation and Chaos
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ISSN | 02181274
17936551
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NCID | AA10810319
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Publisher | World Scientific
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Volume | 34
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Issue | 2
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Start Page | 2450024
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Published Date | 2024-02
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Remark | 論文本文は2025-03以降公開予定
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Rights | Electronic version of an article ublished as International Journal of Bifurcation and Chaos, Vol.34, No.2, 2024, 2450024, 10.1142/S021812742450024X © World Scientific Publishing Company https://www.worldscientific.com/worldscinet/ijbc
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EDB ID | |
DOI (Published Version) | |
URL ( Publisher's Version ) | |
language |
eng
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TextVersion |
その他
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departments |
Science and Technology
Center for Administration of Information Technology
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