Presentation | 1997/10/7 Construction and Visualization of Three-dimensional Bifurcation Diagrams Makoto SHIOTA, Tetsushi UETA, Hiroshi KAWAKAMI, |
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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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Committee | NLP |
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Conference Date | 1997/10/7(1days) |
Place (in Japanese) | (See Japanese page) |
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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 |
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