NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (II) BIFURCATION IN INFINITE DIMENSIONS

被引：208

作者：

Doedel, Eusebius ^{[1
]}

Keller, Herbert B. ^{[2
]}

Kernevez, Jean Pierre ^{[3
]}

机构：

[1] Concordia Univ, Dept Comp Sci, 1455 Blvd Maisonneuve O, Montreal, PQ H3G 1M8, Canada

[2] CALTECH, Pasadena, CA 91125 USA

[3] Univ Technol Compiegne, Math Appl, F-60206 Compiegne, France

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1991年 / 1卷 / 04期

关键词：

D O I：

10.1142/S0218127491000555

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A number of basic algorithms for the numerical analysis and control of bifurcation phenomena are described. The emphasis is on algorithms based on pseudoarclength continuation for ordinary differential equations. Several illustrative examples computed with the AUTO software package are included. This is Part II of the paper that appeared in the preceding issue [Doedel et al., 1991] and that mainly dealt with algebraic problems.

引用

页码：745 / 772

页数：28

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