Presentation 2011-12-15
Identification and control of periodic point by using horseshoe map
Takaya NAKANISHI, Daisuke ITO, Tetsushi UETA, Hiroshi KAWAKAMI, Jun'ichi IMURA, Kazuyuki AIHARA,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) We propose a new computation method detecting unstable periodic orbits (UPOs) in the given chaos attractor from a horseshoe structure. In the Duffing equation, if we observe the horseshoe around a saddle fixed point, there are infinitely many UPOs adjacently homoclinic points. We easily stabilize these UPOs by the conventional controlling chaos methods.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) UPO / horseshoe structure / controlling chaos
Paper # NLP2011-120
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Conference Information
Committee NLP
Conference Date 2011/12/8(1days)
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Paper Information
Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Identification and control of periodic point by using horseshoe map
Sub Title (in English)
Keyword(1) UPO
Keyword(2) horseshoe structure
Keyword(3) controlling chaos
1st Author's Name Takaya NAKANISHI
1st Author's Affiliation Tokushima University Department of Information Science and Intelligent Systems()
2nd Author's Name Daisuke ITO
2nd Author's Affiliation Tokushima University Department of Information Science and Intelligent Systems
3rd Author's Name Tetsushi UETA
3rd Author's Affiliation Tokushima University Center for Advanced Information Technology
4th Author's Name Hiroshi KAWAKAMI
4th Author's Affiliation Japan Science and Technology Agency(JST)
5th Author's Name Jun'ichi IMURA
5th Author's Affiliation Dept. of Mechanical and Environmental informatics, Graduate School of Information Science and Engineering, Tokyo Institute of Technology
6th Author's Name Kazuyuki AIHARA
6th Author's Affiliation Institute of Industrial Science, the University of Tokyo
Date 2011-12-15
Paper # NLP2011-120
Volume (vol) vol.111
Number (no) 339
Page pp.pp.-
#Pages 6
Date of Issue