DYNAMICS OF A NONLINEAR OSCILLATOR WITH FEEDBACK-CONTROL .1. LOCAL ANALYSIS

被引:20
作者
HOLMES, P [1 ]
机构
[1] CORNELL UNIV,CTR APPL MATH,ITHACA,NY 14853
来源
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME | 1985年 / 107卷 / 02期
关键词
D O I
10.1115/1.3149688
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
15
引用
收藏
页码:159 / 165
页数:7
相关论文
共 15 条
[1]  
Bogdanov R., 1981, SELECTA MATH SOVIET, V1, P389
[2]  
Bogdanov R.I., 1981, SELECTA MATH SOVIET, V1, P373
[3]  
CARR J, 1981, APPL CTR MANIFOLD TH
[4]  
Guckenheimer J., 2013, NONLINEAR OSCILLATIO, V42
[5]   PHASE PORTRAITS AND BIFURCATIONS OF THE NON-LINEAR OSCILLATOR - CHI+(ALPHA+GAMMA-CHI-2)CHI+BETA-CHI+DELTA-CHI-3=0 [J].
HOLMES, P ;
RAND, D .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1980, 15 (06) :449-458
[6]  
HOLMES P, 1983, 22ND P IEEE C DEC CO, P365
[7]   CENTER MANIFOLDS, NORMAL FORMS AND BIFURCATIONS OF VECTOR-FIELDS WITH APPLICATION TO COUPLING BETWEEN PERIODIC AND STEADY MOTIONS [J].
HOLMES, PJ .
PHYSICA D, 1981, 2 (03) :449-481
[8]  
Marsden JE, 2012, SPRINGER SCI BUSINES, DOI DOI 10.1137/1020063
[9]  
MOON FC, 1983, ASME, V50, P1021
[10]   NORMAL FORMS FOR CERTAIN SINGULARITIES OF VECTORFIELDS [J].
TAKENS, F .
ANNALES DE L INSTITUT FOURIER, 1973, 23 (02) :163-195