Presentation 2006-01-24
Automatic Tracking Scheme of 3D Bifurcation Diagrams for Nonlinear Dynamical Systems
H. YOSHII, T. UETA, H. KAWAKAMI,
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Abstract(in English) We can observe a bifurcation phenomenon by changing of a parameter. Search of parameter is important for analysis of a chaos phenomenon. Bifurcation problems of higher dimensional systems should be solved within a reasonable time interval, however, usually the computed bifurcation set is drawn in a planar diagram. We show below a cause. There is complicated shape for bifurcation surfaces. The method that was suitable for 3 dimensions is not suggested. We studied method of an automatic tracking for bifurcation surfaces. However, problems are left in conventional method. We suggest a solution method of problems by this report. we do the visualization which used 3D graphics. Finally we show a method to build a stereolithography model.
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Keyword(in English) bifurcation curve / visualization / stereolithography
Paper # NLP2005-103
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Committee NLP
Conference Date 2006/1/17(1days)
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Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Automatic Tracking Scheme of 3D Bifurcation Diagrams for Nonlinear Dynamical Systems
Sub Title (in English)
Keyword(1) bifurcation curve
Keyword(2) visualization
Keyword(3) stereolithography
1st Author's Name H. YOSHII
1st Author's Affiliation Tokushima University()
2nd Author's Name T. UETA
2nd Author's Affiliation Tokushima University
3rd Author's Name H. KAWAKAMI
3rd Author's Affiliation Tokushima University
Date 2006-01-24
Paper # NLP2005-103
Volume (vol) vol.105
Number (no) 547
Page pp.pp.-
#Pages 6
Date of Issue