A GROUP-THEORETIC APPROACH TO COMPUTATIONAL BIFURCATION PROBLEMS WITH SYMMETRY

被引：110

作者：

HEALEY, TJ ^{[1
]}

机构：

[1] CORNELL UNIV,CTR APPL MATH,ITHACA,NY 14853

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1988年 / 67卷 / 03期

关键词：

On the other hand; bifurcation is usually associated with the underlying symmetry of the system in problems from mechanics. In particular; bifurcation often breaks the symmetry. The governing equations of systems with symmetry enjoy a special kind of group invariance called equivariance; which can be exploited to simplify a bifurcation analysis considerably. The use *Research supported in part by NSF Grant DMS-851~18 and AFOSR Grant AFOSR-86-0185;

D O I：

10.1016/0045-7825(88)90049-7

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

引用

页码：257 / 295

页数：39

共 33 条

[1] IMPLICIT FUNCTION THEOREM AND GLOBAL METHODS OF COHOMOLOGY [J].

ALEXANDER, JC ;

YORKE, JA .

JOURNAL OF FUNCTIONAL ANALYSIS, 1976, 21 (03) :330-339

[2]

CHANG P, 1988, IN PRESS COMPUT STRU

[3] SYMMETRY BREAKDOWN FROM BIFURCATION [J].

CICOGNA, G .

LETTERE AL NUOVO CIMENTO, 1981, 31 (17) :600-602

[4]

DECKER DW, 1980, NEW APPROACHES NONLI, P53

[5]

DECKER DW, 1978, THESIS CALTECH PASAD

[6]

Golubitsky M, 1985, SINGULARITIES GROUPS, V1

[7]

Halmos Paul, 1974, FINITE DIMENSIONAL V

[8]

Hangai Y., 1972, ADV COMPUTATIONAL ME, P473

[9]

HEALEY TJ, 1987, TECHNIQUE COMPUTATIO

[10]

HEALEY TJ, IN PRESS SOLUTION TE

← 1 2 3 4 →