| Presentation | 2000/3/18 Chaos and Bifurcation in Piecewise Linear model with External Force Depending on Displacement Yuichiro Morimoto, Keisuke Matsuyama, Haruki Madarame, Koji Okamoto, |
|---|---|
| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Cover gas was constantly supplied to a main tank the bottom of which was connected to that of a subtank. The water levels in the tanks oscillated alternately until the free surface in the main tank pushed by the gas reached the bottom end of a vertical release pipe. Then the gas was ejected from the main tank, resulting in a sudden surface rise and plugging of the pipe inlet. The cover gas pressure increased again, thus, gas ejection occured intermittently. The system behavior was described by piecewise linear ordinarily differential equations with four parameters. The solution showed chaotic features in a specific condition. In this study, we examined fixed points of the system behavior and investigated bifurcation visually and geometrically. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | chaos / piecewise-linear / nonlinear / bifurcation / visualization |
| Paper # | NLP99-166 |
| Date of Issue |
| Conference Information | |
| Committee | NLP |
|---|---|
| Conference Date | 2000/3/18(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 | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Chaos and Bifurcation in Piecewise Linear model with External Force Depending on Displacement |
| Sub Title (in English) | |
| Keyword(1) | chaos |
| Keyword(2) | piecewise-linear |
| Keyword(3) | nonlinear |
| Keyword(4) | bifurcation |
| Keyword(5) | visualization |
| 1st Author's Name | Yuichiro Morimoto |
| 1st Author's Affiliation | Nuclear Engineering Research Laboratory University of Tokyo() |
| 2nd Author's Name | Keisuke Matsuyama |
| 2nd Author's Affiliation | Nuclear Engineering Research Laboratory University of Tokyo |
| 3rd Author's Name | Haruki Madarame |
| 3rd Author's Affiliation | Nuclear Engineering Research Laboratory University of Tokyo |
| 4th Author's Name | Koji Okamoto |
| 4th Author's Affiliation | Nuclear Engineering Research Laboratory University of Tokyo |
| Date | 2000/3/18 |
| Paper # | NLP99-166 |
| Volume (vol) | vol.99 |
| Number (no) | 715 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |