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 |
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Conference Date | 1999/9/21(1days) |
Place (in Japanese) | (See Japanese page) |
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Topics (in Japanese) | (See Japanese page) |
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Paper Information | |
Registration To | Nonlinear Problems (NLP) |
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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 |