| Presentation | 1995/10/19 On Higher-Order Correlations of Chaotic Sequences Anthony J. LAWRANCE, Akio TSUNEDA, Tohru KOHDA, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | One-dimensional maps are simplest systems that can display chaotic behavior. Recently there are several attempts to generate pseudo-random numbers using chaos. It is known that the ensemble-average technique is very useful in evaluating statistics of chaos under the assumption that the map is ergodic. In order to investigate randomness of chaotic sequences, we usually evaluate their auto-correlation functions. For several ergodic maps, it is known that the auto-correlation functions are equal to the delta function. In this paper, we evaluate quadratic correlations using the squared chaotic sequences as higher-order statistics through the Perron-Frobenius operator. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | chaos / pseudo-random number / nonlinear ergodic map / correlation function / Perron-Frobenius operator |
| Paper # | NLP95-55 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 1995/10/19(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
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| Vice Chair | |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On Higher-Order Correlations of Chaotic Sequences |
| Sub Title (in English) | |
| Keyword(1) | chaos |
| Keyword(2) | pseudo-random number |
| Keyword(3) | nonlinear ergodic map |
| Keyword(4) | correlation function |
| Keyword(5) | Perron-Frobenius operator |
| 1st Author's Name | Anthony J. LAWRANCE |
| 1st Author's Affiliation | School of Mathematics and Statistics, The University of Birmingham() |
| 2nd Author's Name | Akio TSUNEDA |
| 2nd Author's Affiliation | Department of Computer Science and Communication Engineering, Kyushu University |
| 3rd Author's Name | Tohru KOHDA |
| 3rd Author's Affiliation | Department of Computer Science and Communication Engineering, Kyushu University |
| Date | 1995/10/19 |
| Paper # | NLP95-55 |
| Volume (vol) | vol.95 |
| Number (no) | 296 |
| Page | pp.pp.- |
| #Pages | 4 |
| Date of Issue | |