SINGULAR POINTS WITH TWO MULTIPLIERS, S-1=-S-2=1, IN THE BIFURCATION CURVES OF MAPS

被引：17

作者：

Cathala, J. C. ^{[1
]}

Kawakami, H. ^{[2
]}

Mira, C. ^{[3
]}

机构：

[1] Univ Provence, Dept Automat & Dynam Non Lineaire, Ave Escadrille Normandie Niemen,BP B41, F-13397 Marseille 13, France

[2] Univ Tokushima, Dept Elect Engn, Tokushima 770, Japan

[3] Inst Natl Sci Appl, GESNLA LESIA, F-31077 Toulouse, France

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1992年 / 2卷 / 04期

关键词：

D O I：

10.1142/S0218127492000616

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Singularities with two multipliers, S1 = -S2 = 1, organized in cascades by period doubling, are encountered in m-dimensional diffeomorphisms, m > 2. It is shown that endormorphisms with m = 2 give rise to singularities equivalent to those of diffeomorphisms with m > 2.

引用

页码：1001 / 1004

页数：4

共 6 条

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Simo, C. ;

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[2]

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[3]

Kawakami H., 1979, Bulletin of Faculty of Engineering, Tokushima University, V16, P29

[4]

Mira, 1987, CHAOTIC DYNAMICS ONE

[5]

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[6]

Yoshinaga T., 1989, T IEICE, V11, P1821

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