CROSSROAD AREA-SPRING AREA TRANSITION (I) PARAMETER PLANE REPRESENTATION

被引：81

作者：

Carcasses, J. P. ^{[1
]}

Mira, C. ^{[1
]}

Bosch, M. ^{[2
]}

Simo, C. ^{[2
]}

Tatjer, J. C. ^{[2
]}

机构：

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

[2] Univ Barcelona, Dept Matemat Aplicada & Anal, E-08007 Barcelona, Spain

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1991年 / 1卷 / 01期

关键词：

D O I：

10.1142/S0218127491000117

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the bifurcation structure of a parameter plane related to one- and two-dimensional maps. Crossroad area and spring area correspond to a characteristic organization of fold and flip bifurcation curves of the parameter plane, involving the existence of cusp points (fold codimension-two bifurcation) and flip codimension-two bifurcation points. A transition "mechanism" (among others) from one area type to another one is given from a typical one-dimensional map.

引用

页码：183 / 196

页数：14

共 14 条

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[5]

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[6]

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[10]

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