| Presentation | 2015-04-23 Dynamaics Analysis of Digital Tent Map for Lattice Point Arrangement Hiroyuki Kusano, Hiroki Yamaoka, Toshimichi Saito, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Discretizing the tent map, we obtain the digital tent map defined on a set of lattice points. As is well known, the tent map exhibits chaotic orbit, whereas the digital tent map has various steady states of periodic orbits. The transient phenomena are also of wide variety. Depending on the parameters and initial value, the map can exhibit various periodic orbits. Especially, we consider effects of the lattice points arrangement on the dynamics of the map. In order to characterize the dynamics of the map, we introduce a feature quantity of steady states, that of transient phenomena and a feature quantities plane. Using the feature quantities, we analyze basic dynamics and demonstrate typical examples. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | tent map / digital dynamical system / periodic orbits / transient phenomena |
| Paper # | NLP2015-7 |
| 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) | Dynamaics Analysis of Digital Tent Map for Lattice Point Arrangement |
| Sub Title (in English) | |
| Keyword(1) | tent map |
| Keyword(2) | digital dynamical system |
| Keyword(3) | periodic orbits |
| Keyword(4) | transient phenomena |
| 1st Author's Name | Hiroyuki Kusano |
| 1st Author's Affiliation | Hosei University(Hosei Univ.) |
| 2nd Author's Name | Hiroki Yamaoka |
| 2nd Author's Affiliation | Hosei University(Hosei Univ.) |
| 3rd Author's Name | Toshimichi Saito |
| 3rd Author's Affiliation | Hosei University(Hosei Univ.) |
| Date | 2015-04-23 |
| Paper # | NLP2015-7 |
| Volume (vol) | vol.115 |
| Number (no) | NLP-14 |
| Page | pp.pp.27-32(NLP), |
| #Pages | 6 |
| Date of Issue | 2015-04-16 (NLP) |