NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I) BIFURCATION IN FINITE DIMENSIONS

被引：327

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, Appl Math 217 50, 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 / 03期

关键词：

D O I：

10.1142/S0218127491000397

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 algebraic equations. Several illustrative examples computed with the AUTO software package are included. Part II of this paper deals with ordinary differential equations and will appear in the next issue.

引用

页码：493 / 520

页数：28

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