| Presentation | 2000/7/12 CAS2000-45 / NLP2000-53 Chaos, Ergodicity and Fractals in Discrete-state Chaotic Maps Naoki MASUDA, Kazuyuki AIHARA, |
|---|---|
| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The understanding of discrete-state dynamical systems is important for application of chaos and interpretation of computer simulation with truncation errors. In this report, the asymptotic behavior of the invariant measure of discretized maps is studied. It is shown that the invariant measure converges to that of the continuous counterpart by interpreting the invariant measure with practically coarse observation precision, although it is not convergent in the strict sense. Accordingly, it is shown that the discretized maps typically have long orbits which reflect the ergodicity and the chaotic properties of the original maps. Moreover, the fractal structure inherent in the invariant measure of discretized maps are investigated. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | chaotic dynamicsal system / discretization / invariant measure / fractal |
| Paper # | CAS2000-45,NLP2000-53 |
| Date of Issue |
| Conference Information | |
| Committee | NLP |
|---|---|
| Conference Date | 2000/7/12(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
|---|---|
| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | CAS2000-45 / NLP2000-53 Chaos, Ergodicity and Fractals in Discrete-state Chaotic Maps |
| Sub Title (in English) | |
| Keyword(1) | chaotic dynamicsal system |
| Keyword(2) | discretization |
| Keyword(3) | invariant measure |
| Keyword(4) | fractal |
| 1st Author's Name | Naoki MASUDA |
| 1st Author's Affiliation | Department of Mathematical Engineering and Information Physics, Graduate School of Engineering, The University of Tokyo:Research Fellow of the Japan Society for the Promotion of Science() |
| 2nd Author's Name | Kazuyuki AIHARA |
| 2nd Author's Affiliation | Department of Mathematical Engineering and Information Physics, Graduate School of Engineering, The University of Tokyo:CREST, Japan Science and Technology Co.(JST) |
| Date | 2000/7/12 |
| Paper # | CAS2000-45,NLP2000-53 |
| Volume (vol) | vol.100 |
| Number (no) | 204 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |