| Presentation | 2002/6/27 Statistical Characteristics of Orbit-Product Series in Discrete Dynamical System Kazuya MAEKAWA, Kenichi KAMIJO, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Statistical characteristics of the discrete dynamical system in the orbit-product series, which can be generated from the logistic and the Ulam=von Neumann mapping, have been studied by a computer simulation. The return plots of the series show the so-called "camel's hump shape", and its patterns just accord with the analytical results using the envelope. The shape of the histogram for the values composing the orbit-product series shows the power distribution and the probability density function can be found out experimentally. These orbit-product series do not suit with the pseudo random numbers. However it is suggested that the pseudo normal random numbers for practical use can be obtained by the average operation after the time phase operation, based on the Central Limit Theorem. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | logistic mapping / Ulam=von Neumann mapping / discrete dynamical orbit / orbit-product series / camel's hump shape / envelope / power distribution / pseudo random number |
| Paper # | NLP2002-29 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2002/6/27(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) | Statistical Characteristics of Orbit-Product Series in Discrete Dynamical System |
| Sub Title (in English) | |
| Keyword(1) | logistic mapping |
| Keyword(2) | Ulam=von Neumann mapping |
| Keyword(3) | discrete dynamical orbit |
| Keyword(4) | orbit-product series |
| Keyword(5) | camel's hump shape |
| Keyword(6) | envelope |
| Keyword(7) | power distribution |
| Keyword(8) | pseudo random number |
| 1st Author's Name | Kazuya MAEKAWA |
| 1st Author's Affiliation | Department of Information and Computer Sciences, Tohto Gakuen() |
| 2nd Author's Name | Kenichi KAMIJO |
| 2nd Author's Affiliation | Department of Life Sciences, Faculty of Life Sciences, Toyo University |
| Date | 2002/6/27 |
| Paper # | NLP2002-29 |
| Volume (vol) | vol.102 |
| Number (no) | 181 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |