| Presentation | 2003/7/7 Relationship between invariant manifold and convergence of solution in magneto-elastic beam system under time delayed feedback control Kohei YAMASUE, Takashi HIKIHARA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Time delayed feedback control is well-known as a practical method for stabilizing unstable periodic orbits embedded in chaotic attractors. The systems under the control method are described by delay differential equations and then become infinite dimensional systems whose phase space is in function space. However, no intrinsic discussion has been obtained for the control characteristics associated with global dynamics in function space. In this report, we numerically are going to discuss the unstable manifold originating from the unstabilizable solution with relation to the domain of attraction of target unstable periodic orbits and transient response in stabilization. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | time delayed feedback control / magneto-elastic beam system / controlling chaos / invariant manifold / delay differential equation |
| Paper # | NLP2003-32 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2003/7/7(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) | Relationship between invariant manifold and convergence of solution in magneto-elastic beam system under time delayed feedback control |
| Sub Title (in English) | |
| Keyword(1) | time delayed feedback control |
| Keyword(2) | magneto-elastic beam system |
| Keyword(3) | controlling chaos |
| Keyword(4) | invariant manifold |
| Keyword(5) | delay differential equation |
| 1st Author's Name | Kohei YAMASUE |
| 1st Author's Affiliation | Department of Electrical Engineering, Kyoto University() |
| 2nd Author's Name | Takashi HIKIHARA |
| 2nd Author's Affiliation | Department of Electrical Engineering, Kyoto University |
| Date | 2003/7/7 |
| Paper # | NLP2003-32 |
| Volume (vol) | vol.103 |
| Number (no) | 185 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |