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タイトル: | Delayed feedback control and phase reduction of unstable quasi-periodic orbits. |
著者: | Ichinose, Natsuhiro Komuro, Motomasa |
著者名の別形: | 市瀬, 夏洋 |
発行日: | Sep-2014 |
出版者: | American Institute of Physics |
誌名: | Chaos |
巻: | 24 |
号: | 3 |
論文番号: | 033137 |
抄録: | The delayed feedback control (DFC) is applied to stabilize unstable quasi-periodic orbits (QPOs) in discrete-time systems. The feedback input is given by the difference between the current state and a time-delayed state in the DFC. However, there is an inevitable time-delay mismatch in QPOs. To evaluate the influence of the time-delay mismatch on the DFC, we propose a phase reduction method for QPOs and construct a phase response curve (PRC) from unstable QPOs directly. Using the PRC, we estimate the rotation number of QPO stabilized by the DFC. We show that the orbit of the DFC is consistent with the unstable QPO perturbed by a small state difference resulting from the time-delay mismatch, implying that the DFC can certainly stabilize the unstable QPO. |
著作権等: | © 2014 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. |
URI: | http://hdl.handle.net/2433/191009 |
DOI(出版社版): | 10.1063/1.4896219 |
PubMed ID: | 25273217 |
出現コレクション: | 学術雑誌掲載論文等 |
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