| Presentation | 2007-01-17 Detection periodic-point mechanism with map direction and frequency Toshiyuki KUMANO, Tetsushi UETA, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this report, it proposes the method for detecting periodic-point by the visualization method that uses map-direction and map-frequency. When times of n are mapped to all the points on the plane of the phase within a certain arbitrary range, the color of the respect is decided according to map-direction or map-frequency, in a word, the map-distance. Then, the point to divide into parts the color area appears and islanded a color area where it is shown that the distance is short appears in the map distance visualization chart in map-direction visualization chart. The position of an unstable point can be easily specified by showing that these are the unstable periodic-point in the parameter where chaos is generated, and using this method. Therefore, because periodic-point can be detected at high speed by using this method regardless of stability and instability, the support to analyze a nonlinear system can be used by risking it though time is required to usually specify the position of an unstable point. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | map-direction / map-frequency / detecting periodic-point |
| Paper # | NLP2006-125 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2007/1/10(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) | Detection periodic-point mechanism with map direction and frequency |
| Sub Title (in English) | |
| Keyword(1) | map-direction |
| Keyword(2) | map-frequency |
| Keyword(3) | detecting periodic-point |
| 1st Author's Name | Toshiyuki KUMANO |
| 1st Author's Affiliation | University of Tokushima() |
| 2nd Author's Name | Tetsushi UETA |
| 2nd Author's Affiliation | University of Tokushima |
| Date | 2007-01-17 |
| Paper # | NLP2006-125 |
| Volume (vol) | vol.106 |
| Number (no) | 451 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |