| Presentation | 1997/10/7 Construction and Visualization of Three-dimensional Bifurcation Diagrams Makoto SHIOTA, Tetsushi UETA, Hiroshi KAWAKAMI, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This paper describes a method to obtain a bifurcation diagram as a solid model in a three-parameter space. Firstly we calculate suitable number of two-parameter bifurcation diagrams with small step of the third parameter. We should extract some feature points to remove unnecessary points on the bifurcation set. The polygon which shows a bifurcation surface is composed of surfaces made by points of adjacent parameter values with the triangle-patch technique. Secondly we show these polygons on the display of the computer system by using a standard graphic library called OpenGL [4]. As an illustrated example, we try to show bifurcation surfaces in a three-parameter space of Duffing's equation. It is possible to show details of the surface quickly, and recognize whole structure of the surface. Finally, we explain a consideration and a problem about this report. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Three-dimensional Bifurcation Diagrams / visualization / bifurcation |
| Paper # | NLP97-99-112 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 1997/10/7(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Construction and Visualization of Three-dimensional Bifurcation Diagrams |
| Sub Title (in English) | |
| Keyword(1) | Three-dimensional Bifurcation Diagrams |
| Keyword(2) | visualization |
| Keyword(3) | bifurcation |
| 1st Author's Name | Makoto SHIOTA |
| 1st Author's Affiliation | Faculty of Engineering, Tokushima University() |
| 2nd Author's Name | Tetsushi UETA |
| 2nd Author's Affiliation | Faculty of Engineering, Tokushima University |
| 3rd Author's Name | Hiroshi KAWAKAMI |
| 3rd Author's Affiliation | Faculty of Engineering, Tokushima University |
| Date | 1997/10/7 |
| Paper # | NLP97-99-112 |
| Volume (vol) | vol.97 |
| Number (no) | 301 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |