Presentation 2004-09-13
Transient Chaos and Intermittency in Delayed Feedback Controlled Piecewise-Linear Discrete-Time Systems
Toshimitsu USHIO,
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Abstract(in English) Delayed feedback control is based on the difference between a past state and the current one, and can stabilize an unstable periodic orbit without its precise calculation. It is known that the delayed feedback control has a limitation called the odd number limitation for stabilization, and many studies have been done to overcome the limitation. However, its global properties of controlled systems have not been paid much attention to. Recently, Yamasue and Hikihara analyzed a domain of attraction in a delayed feedback controlled Duffing equation. In this report, we investigate global properties of a one-dimensional piecewise-linear discrete-time system. Moreover, we show by simulation that both transient chaos and intermittency occur by delayed feedback control.
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Keyword(in English) delayed feedback control / discrete-time system / controlling chaos / transient chaos / intermittency
Paper # CAS2004-24,NLP2004-36
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Committee CAS
Conference Date 2004/9/6(1days)
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Registration To Circuits and Systems (CAS)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Transient Chaos and Intermittency in Delayed Feedback Controlled Piecewise-Linear Discrete-Time Systems
Sub Title (in English)
Keyword(1) delayed feedback control
Keyword(2) discrete-time system
Keyword(3) controlling chaos
Keyword(4) transient chaos
Keyword(5) intermittency
1st Author's Name Toshimitsu USHIO
1st Author's Affiliation Graduate School of Engineering Science, Osaka University()
Date 2004-09-13
Paper # CAS2004-24,NLP2004-36
Volume (vol) vol.104
Number (no) 292
Page pp.pp.-
#Pages 4
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