THE APPLICATION OF CENTER MANIFOLDS TO AMPLITUDE EXPANSIONS .1. ORDINARY DIFFERENTIAL-EQUATIONS

被引：29

作者：

CARR, J

MUNCASTER, RG

机构：

[1] UNIV ILLINOIS,DEPT MATH,URBANA,IL 61801

[2] BROWN UNIV,DIV APPL MATH,PROVIDENCE,RI 02912

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1983年 / 50卷 / 02期

关键词：

D O I：

10.1016/0022-0396(83)90077-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

收藏

页码：260 / 279

页数：20

相关论文

共 21 条

[1] ARNOLD VI, 1977, FUNCT ANAL APPL, V11, P1
[2] BALL JM, 1973, NONLINEAR ELASTICITY, P93
[3] RATE OF DECAY IN CRITICAL CASES .1. FINITE-DIMENSIONAL PROBLEMS
CARR, J
ALAMOOD, N
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1980, 75 (01) : 242 - 250
[4] RATE OF DECAY IN CRITICAL CASES .2. INFINITE-DIMENSIONAL PROBLEMS
CARR, J
ALAMOOD, N
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1980, 75 (02) : 293 - 299
[5] CARR J, 1981, APPLIED MATH SCI, V35
[6] HALE JK, 1970, J DIFFERENTIAL EQUAT, V10, P59
[7] BIFURCATION TO DIVERGENCE AND FLUTTER IN FLOW-INDUCED OSCILLATIONS - INFINITE DIMENSIONAL ANALYSIS
HOLMES, P
MARSDEN, J
[J]. AUTOMATICA, 1978, 14 (04) : 367 - 384
[8] BIFURCATIONS TO DIVERGENCE AND FLUTTER IN FLOW-INDUCED OSCILLATIONS - FINITE DIMENSIONAL ANALYSIS
HOLMES, PJ
[J]. JOURNAL OF SOUND AND VIBRATION, 1977, 53 (04) : 471 - 503
[9] HOLMES PJ, 1975, 79 I SOUND VIBR RES
[10] NONLINEAR STABILITY ANALYSIS OF STATIC STATES WHICH ARISE THROUGH BIFURCATION
HOPPENSTEADT, F
GORDON, N
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1975, 28 (03) : 355 - 373