| Presentation | 2016-09-14 Derivation of equations of motion and numerical analysis of spider linkages Nozomi Akashi, Syuji Miyazaki, |
|---|---|
| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Motion of a triple linkage as a physical realistic model of the Anosov system is given by a chaotic trajectory on a Schwarz P surface. Phase space of the triple linkage is spanned by three position coordinates and three conjugate momenum coordinates. Configuration space is three dimensional, in which the momentum space is projected out onto the position space. When this configuration space is divided into unit cubic lattices, Schwarz P surface of genus 3 has six common circles on the six surface of the unit cube, and its curvature is always negative, which is periodically arranged in the three-dimensional configuration space. A trajectory is irregularily covered on a single Schwarz P surface, and goes to one of the six neighboring surfaces across the common circle with the unit cube, This difusion process is repeated in an irregular manner along three directions. Averages and distributions of dwell times in a unit cube as well as parameter dependences of dissusion coefficients are numerically obtained. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Anosov system / triple linkage / Schwartz P surface / diffusion process / diffusion coefficient |
| Paper # | NLP2016-44 |
| Date of Issue | 2016-09-07 (NLP) |
| Conference Information | |
| Committee | NLP |
|---|---|
| Conference Date | 2016/9/14(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Konan Univ. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Hisato Fujisaka(Hiroshima City Univ.) |
| Vice Chair | Masaharu Adachi(Tokyo Denki Univ.) |
| Secretary | Masaharu Adachi(Konan Univ.) |
| Assistant | Hiroyuki Asahara(Okayama Univ. of Science) / Toshihiro Tachibana(Shonan Inst. of Tech.) |
| Paper Information | |
| Registration To | Technical Committee on Nonlinear Problems |
|---|---|
| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Derivation of equations of motion and numerical analysis of spider linkages |
| Sub Title (in English) | |
| Keyword(1) | Anosov system |
| Keyword(2) | triple linkage |
| Keyword(3) | Schwartz P surface |
| Keyword(4) | diffusion process |
| Keyword(5) | diffusion coefficient |
| 1st Author's Name | Nozomi Akashi |
| 1st Author's Affiliation | Kyoto University(Kyoto Univ) |
| 2nd Author's Name | Syuji Miyazaki |
| 2nd Author's Affiliation | Kyoto University(Kyoto Univ) |
| Date | 2016-09-14 |
| Paper # | NLP2016-44 |
| Volume (vol) | vol.116 |
| Number (no) | NLP-215 |
| Page | pp.pp.1-4(NLP), |
| #Pages | 4 |
| Date of Issue | 2016-09-07 (NLP) |