| Presentation | 2009-08-04 Self-similarity in Neighborhood of Unstable Periodic Points of 2-Dimensional Discrete System Kei NAGAO, Tetsushi UETA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We propose the method of detecting the unstable periodic points included in 2-dimensional discrete system chaos by using the directional coloring. The invariable pattern was found near the periodic points that had been visualized in a certain noninvertible map. The pattern forms the self-similar structure centering around the periodic points. The characteristic point of the pattern is an unstable periodic point. Therefore, if you can calculate one unstable periodic point from the pattern, the other unstable periodic points are specified for the periodic point by repeating the affine-transformation. When the distance of those unstable periodic points is calculated from the centered periodic points, the proportional at period n has been understood. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Directional coloring / Unstable periodic point / Invariable pattern |
| Paper # | NLP2009-59 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2009/7/27(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) | Self-similarity in Neighborhood of Unstable Periodic Points of 2-Dimensional Discrete System |
| Sub Title (in English) | |
| Keyword(1) | Directional coloring |
| Keyword(2) | Unstable periodic point |
| Keyword(3) | Invariable pattern |
| 1st Author's Name | Kei NAGAO |
| 1st Author's Affiliation | Department of Information Science and Intelligent Systems() |
| 2nd Author's Name | Tetsushi UETA |
| 2nd Author's Affiliation | Center for Advanced Information Technology |
| Date | 2009-08-04 |
| Paper # | NLP2009-59 |
| Volume (vol) | vol.109 |
| Number (no) | 167 |
| Page | pp.pp.- |
| #Pages | 5 |
| Date of Issue | |