2004年9月18日
Delayed feedback control and phase reduction of unstable quasi-periodic orbits
Chaos
- ,
- 巻
- 24
- 号
- 3
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1063/1.4896219
- 出版者・発行元
- American Institute of Physics Inc.
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.
- リンク情報
- ID情報
-
- DOI : 10.1063/1.4896219
- ISSN : 1054-1500
- SCOPUS ID : 84907222729