Presentation 1999/9/21
A method to calculate basin bifurcation sets for a two-dimensional noninvertible map
H. KITAJIMA, H. KAWAKAMI, C. MIRA,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) We propose an algorithm to calculate basin bifurcation of a two-dimensional noninvertible map. It is known that the basin bifurcations always result from the contact of a basin boundary and a critical curve, Using our algorithm it is possible to obtain the contact points in parameter space. As an illustrated example we show the basin bifurcation diagram for a quadratic map and clarify the mechanism of successive basin bifurcations.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) noninvertible map / critical curve / bifurcation / basin
Paper # NLP99-80
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Conference Information
Committee NLP
Conference Date 1999/9/21(1days)
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Registration To Nonlinear Problems (NLP)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A method to calculate basin bifurcation sets for a two-dimensional noninvertible map
Sub Title (in English)
Keyword(1) noninvertible map
Keyword(2) critical curve
Keyword(3) bifurcation
Keyword(4) basin
1st Author's Name H. KITAJIMA
1st Author's Affiliation Faculty of Engineering, Kagawa University()
2nd Author's Name H. KAWAKAMI
2nd Author's Affiliation Faculty of Engineering, The University of Tokushima
3rd Author's Name C. MIRA
3rd Author's Affiliation INSA, Complexe Scientifique de Rangueil
Date 1999/9/21
Paper # NLP99-80
Volume (vol) vol.99
Number (no) 323
Page pp.pp.-
#Pages 8
Date of Issue