| Presentation | 2013-09-27 Basic Dynamics of Manifold Piece-wise Linear Systems on Torus Kazuyuki KIMURA, Toshimichi SAITO, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, we consider the basic dynamics of manifold piece-wise linear systems on torus. The systems on the torus are equivalent to systems having many equilibrium points. The systems can exhibit various chaotic phenomena and the trajectories do not diverge. The dynamics can be simplified into one-dimensional piece-wise linear return map. Using the return map, the chaotic dynamics can be analyzed theoretically. In order to characterize the system dynamics, we introduce the quad-screw manifold piece-wise linear systems and compare the dynamics with the systems on the torus. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | manifold piece-wise linear systems / chaos / torus |
| Paper # | CAS2013-48,NLP2013-60 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2013/9/19(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| 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) | Basic Dynamics of Manifold Piece-wise Linear Systems on Torus |
| Sub Title (in English) | |
| Keyword(1) | manifold piece-wise linear systems |
| Keyword(2) | chaos |
| Keyword(3) | torus |
| 1st Author's Name | Kazuyuki KIMURA |
| 1st Author's Affiliation | EE Dept., Hosei University() |
| 2nd Author's Name | Toshimichi SAITO |
| 2nd Author's Affiliation | EE Dept., Hosei University |
| Date | 2013-09-27 |
| Paper # | CAS2013-48,NLP2013-60 |
| Volume (vol) | vol.113 |
| Number (no) | 225 |
| Page | pp.pp.- |
| #Pages | 4 |
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