| Presentation | 2015-04-23 Complexity in chaotic time series subject to augmented Lorenz equations Kenichiro Cho, Takaya Miyano, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Augmented Lorenz equations are expressed as a star network of N Lorenz subsystems sharing the scalar variable X as the central node. We evaluate the complexity in chaotic time series subject to the augmented Lorenz equations in terms of the degree of visible determinism, i.e., the degree of parallelness of neighboring trajectories in phase space. The determinism underlying the chaotic time series becomes less visible when N increases. In particular, the determinism in the time series of the matrix variable Y is as invisible as that of uncorrelated white noise. In this report, we discuss the degree of security for the one-time-pad cryptographic method using pseudorandom numbers sampled from the chaotic time series. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Augmented Lorenz equations / parallelness of neighboring trajectories / pseudorandom numbers / one-time pad cryptography |
| Paper # | NLP2015-6 |
| Date of Issue | 2015-04-16 (NLP) |
| Conference Information | |
| Committee | NLP |
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| Conference Date | 2015/4/23(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kagawa Social Welfare Center |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Nonlinear Problems, etc. |
| Chair | Kenya Jinno(Nippon Inst. of Tech.) |
| Vice Chair | Naoto Fujisaka(Hiroshima City Univ.) |
| Secretary | Naoto Fujisaka(Tokyo Univ. of Science) |
| Assistant | Hidehiro Nakano(Tokyo City Univ.) / Hiroyuki Asahara(Okayama Univ. of Science) |
| Paper Information | |
| Registration To | Technical Committee on Nonlinear Problems |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Complexity in chaotic time series subject to augmented Lorenz equations |
| Sub Title (in English) | |
| Keyword(1) | Augmented Lorenz equations |
| Keyword(2) | parallelness of neighboring trajectories |
| Keyword(3) | pseudorandom numbers |
| Keyword(4) | one-time pad cryptography |
| 1st Author's Name | Kenichiro Cho |
| 1st Author's Affiliation | Ritsumeikan Univercity(Ritsumeikan Univ) |
| 2nd Author's Name | Takaya Miyano |
| 2nd Author's Affiliation | Ritsumeikan Univercity(Ritsumeikan Univ) |
| Date | 2015-04-23 |
| Paper # | NLP2015-6 |
| Volume (vol) | vol.115 |
| Number (no) | NLP-14 |
| Page | pp.pp.23-26(NLP), |
| #Pages | 4 |
| Date of Issue | 2015-04-16 (NLP) |