| Presentation | 2002/8/28 A Consideration for Preliminary Tremor Period in Discrete Dynamical System Kenichi KAMIJO, Masahide YONEYAMA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In the discrete dynamical system, it is well known that in case the initial value adopts the stationair solution including the infinitesimal error, the chaotic or periodic motion can be easily seen after the preliminary tremor period in the orbit. It is also suggested that the preliminary tremor period can be controlled by regulation of the quantities of the infinitesimal error. The logistic mapping has been selected as an example in this paper. The computer simulation has studied the relationship between the infinitesimal error added to the stationary solution and the preliminary tremor period. The preliminary tremor period can be denoted as an analytical approximate function of the system control parameter, the infinitesimal error and the threshold value for the stationary decision in the dynamical orbit. The error analysis between simulation and analytical solutions has been carried out. It is evident that the errors are not random and have the specific characteristics. Also a prediction method for preliminary tremor period has been shown using only the information on the way of the stationary situation. Utilizing the results of this paper may control the preliminary tremor period after when the chaotic or periodic motion will occur. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | logistic mapping / Ulam=von Neumann mapping / stationary solution / sensitivity by initial value / chaos rising control / infinitesimal error |
| Paper # | NLP2002-65 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2002/8/28(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) | A Consideration for Preliminary Tremor Period in Discrete Dynamical System |
| Sub Title (in English) | |
| Keyword(1) | logistic mapping |
| Keyword(2) | Ulam=von Neumann mapping |
| Keyword(3) | stationary solution |
| Keyword(4) | sensitivity by initial value |
| Keyword(5) | chaos rising control |
| Keyword(6) | infinitesimal error |
| 1st Author's Name | Kenichi KAMIJO |
| 1st Author's Affiliation | Department of Life Sciences, Faculty of Life Sciences, Toyo University() |
| 2nd Author's Name | Masahide YONEYAMA |
| 2nd Author's Affiliation | Department of Information and Computer Sciences, Faculty of Engineering Toyo University |
| Date | 2002/8/28 |
| Paper # | NLP2002-65 |
| Volume (vol) | vol.102 |
| Number (no) | 298 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |