THE DIMENSIONALITY OF MOVEMENT TRAJECTORIES AND THE DEGREES OF FREEDOM PROBLEM - A TUTORIAL

被引:90
作者
KAY, BA
机构
关键词
D O I
10.1016/0167-9457(88)90016-4
中图分类号
Q189 [神经科学];
学科分类号
071006 ;
摘要
引用
收藏
页码:343 / 364
页数:22
相关论文
共 15 条
[1]   CALCULATING THE DIMENSION OF ATTRACTORS FROM SMALL DATA SETS [J].
ABRAHAM, NB ;
ALBANO, AM ;
DAS, B ;
DEGUZMAN, G ;
YONG, S ;
GIOGGIA, RS ;
PUCCIONI, GP ;
TREDICCE, JR .
PHYSICS LETTERS A, 1986, 114 (05) :217-221
[2]  
Abraham R., 1982, DYNAMICS GEOMETRY BE
[3]  
Bernstein N. A., 1967, CONTROL REGULATION M
[4]   ERGODIC-THEORY OF CHAOS AND STRANGE ATTRACTORS [J].
ECKMANN, JP ;
RUELLE, D .
REVIEWS OF MODERN PHYSICS, 1985, 57 (03) :617-656
[5]   INDEPENDENT COORDINATES FOR STRANGE ATTRACTORS FROM MUTUAL INFORMATION [J].
FRASER, AM ;
SWINNEY, HL .
PHYSICAL REVIEW A, 1986, 33 (02) :1134-1140
[6]   ON DETERMINING THE DIMENSION OF CHAOTIC FLOWS [J].
FROEHLING, H ;
CRUTCHFIELD, JP ;
FARMER, D ;
PACKARD, NH ;
SHAW, R .
PHYSICA D, 1981, 3 (03) :605-617
[7]   MEASURING THE STRANGENESS OF STRANGE ATTRACTORS [J].
GRASSBERGER, P ;
PROCACCIA, I .
PHYSICA D, 1983, 9 (1-2) :189-208
[8]   IMPRACTICALITY OF A BOX-COUNTING ALGORITHM FOR CALCULATING THE DIMENSIONALITY OF STRANGE ATTRACTORS [J].
GREENSIDE, HS ;
WOLF, A ;
SWIFT, J ;
PIGNATARO, T .
PHYSICAL REVIEW A, 1982, 25 (06) :3453-3456
[9]  
HIRSH MW, 1977, DIFFERENTIAL EQUATIO
[10]  
HOLZFUSS J, 1986, DIM ENTR CHAOT SYST