Presentation 1994/5/19
An algorithm tracing out the tangent bifurcation curves and its application to Duffing′s equation
Hiroyuki Kitajima, Hiroshi Kawakami,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Generally,the algorithms for calculating bifurcation sets may stop on a cusp point by the singularity of Jacobian.We propose an algorithm which permits to calculate tangent bifurcation sets containing cusp points.As an illustrated example,we show some tangent and period doubling bifurcation diagrams for Duffing′s equ ation.
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Keyword(in English) cusp point / tangent bifurcation / Duffing′s equation / bifurca tion curve
Paper # NLP94-1
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Committee NLP
Conference Date 1994/5/19(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) An algorithm tracing out the tangent bifurcation curves and its application to Duffing′s equation
Sub Title (in English)
Keyword(1) cusp point
Keyword(2) tangent bifurcation
Keyword(3) Duffing′s equation
Keyword(4) bifurca tion curve
1st Author's Name Hiroyuki Kitajima
1st Author's Affiliation Faculty of Engineering,University of Tokushima()
2nd Author's Name Hiroshi Kawakami
2nd Author's Affiliation Faculty of Engineering,University of Tokushima
Date 1994/5/19
Paper # NLP94-1
Volume (vol) vol.94
Number (no) 44
Page pp.pp.-
#Pages 7
Date of Issue