| Presentation | 1997/10/6 Stabilization of Directly Unstable Periodic Orbits in Duffing Equation Using Half-Period Delayed Feedback Hiroyuki NAKAJIMA, Yoshisuke UEDA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Delayed feedback control (DFC), proposed by Pyragas, is a simple and practical method of controlling chaos in continuous dynamical systems. However, it had been proved that the DFC has a limitation: any hyperbolic unstable periodic orbit (UPO) with an odd number of real characteristic multipliers greater than unity can never be stabilized by the DFC. In this report, to overcome this limitation, we propose a modified DFC, "half-period delayed feedback", of which delay time is a half of the period of the UPO, and apply it to stabilizing self-symmetric directly unstable periodic orbits of Duffing equation. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | chaos / delayed feedback / control / Duffing equation |
| Paper # | NLP97-85-98 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 1997/10/6(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Stabilization of Directly Unstable Periodic Orbits in Duffing Equation Using Half-Period Delayed Feedback |
| Sub Title (in English) | |
| Keyword(1) | chaos |
| Keyword(2) | delayed feedback |
| Keyword(3) | control |
| Keyword(4) | Duffing equation |
| 1st Author's Name | Hiroyuki NAKAJIMA |
| 1st Author's Affiliation | Department of Electrical Engineering and Computer Science, Faculty of Engineering, Kinki University() |
| 2nd Author's Name | Yoshisuke UEDA |
| 2nd Author's Affiliation | Division of Electrical Engineering, Graduate School of Engineering, Kyoto University |
| Date | 1997/10/6 |
| Paper # | NLP97-85-98 |
| Volume (vol) | vol.97 |
| Number (no) | 300 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |