Chaos control based on stability Transformation method for unstable periodic orbits

• Kawai Yuki

  Nagaoka University of Technology

• Tsubone Tadashi

  Nagaoka University of Technology

抄録

Stability transformation method has been proposed in order to detect the location of a unstable periodic orbit in a dynamical system which exhibits chaotic behavior. A chaos control approach based on the method has been also considered. The chaos control method can stabilize unknown steady states, however the control method uses l-times iterated Poincaré map corresponding to a periodic orbit of length l. Therefore there is a disadvantage related to robustness and more detailed discussion for realization of the control method is needed. In this paper, we propose a novel chaos control method based on stability transformation method for unstable periodic orbits. The method can stabilize unstable periodic orbits whose states are unknown. We show that our method has a much wider range of control parameters to guarantee stability than ones of a previous method and can be realized by a simple circuit implementation. Some examples are provided and the some theoretical results are confirmed by laboratory measurements.

収録刊行物

• Nonlinear Theory and Its Applications, IEICE

  Nonlinear Theory and Its Applications, IEICE 3 (2), 246-256, 2012

  一般社団法人 電子情報通信学会

キーワード

• stability transformation
• chaos
• unstable periodic orbit

詳細情報

• CRID: 1390001205346456064
• NII論文ID: 130002139295
• DOI: 10.1587/nolta.3.246
• BIBCODE: 2012NTA.....3..246K
• ISSN: 21854106
• Web Site: https://www.jstage.jst.go.jp/article/nolta/3/2/3_2_246/_pdf
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• 抄録ライセンスフラグ: 使用不可