CALCULATION OF LYAPUNOV EXPONENTS AVOIDING SPURIOUS ELEMENTS

被引：45

作者：

STOOP, R

PARISI, J

机构：

[1] UNIV TUBINGEN,LEHRSTUHL EXPTL PHYS 2,INST PHYS,W-7400 TUBINGEN 1,GERMANY

[2] UNIV BAYREUTH,LEHRSTUHL EXPTL PHYS 5,INST PHYS,W-8580 BAYREUTH,GERMANY

来源：

PHYSICA D | 1991年 / 50卷 / 01期

关键词：

D O I：

10.1016/0167-2789(91)90082-K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new approach to evaluate Lyapunov exponents from time series is discussed. With the help of this approach, the number of calculated Lyapunov exponents can be reduced to the physically relevant ones. Calculations in high-dimensional embedding spaces are performed on smaller data bases with improved speed. More direct information is obtained from the dynamics of the underlying dynamical system.

引用

页码：89 / 94

页数：6

共 13 条

[1] KOLMOGOROV ENTROPY AND NUMERICAL EXPERIMENTS
BENETTIN, G
GALGANI, L
STRELCYN, JM
[J]. PHYSICAL REVIEW A, 1976, 14 (06): : 2338 - 2345
[2] LIAPUNOV EXPONENTS FROM TIME-SERIES
ECKMANN, JP
KAMPHORST, SO
RUELLE, D
CILIBERTO, S
[J]. PHYSICAL REVIEW A, 1986, 34 (06): : 4971 - 4979
[3] ERGODIC-THEORY OF CHAOS AND STRANGE ATTRACTORS
ECKMANN, JP
RUELLE, D
[J]. REVIEWS OF MODERN PHYSICS, 1985, 57 (03) : 617 - 656
[4] THE LIAPUNOV DIMENSION OF STRANGE ATTRACTORS
FREDERICKSON, P
KAPLAN, JL
YORKE, ED
YORKE, JA
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1983, 49 (02) : 185 - 207
[5] KAPLAN J, 1979, LECTURE NOTES MATH, V730
[6] Oseledets V. I., 1968, T MOSK MAT OBSHCHEST, V19, P179
[7] MEASUREMENT OF THE LYAPUNOV SPECTRUM FROM A CHAOTIC TIME-SERIES
SANO, M
SAWADA, Y
[J]. PHYSICAL REVIEW LETTERS, 1985, 55 (10) : 1082 - 1085
[8] A P-GE SEMICONDUCTOR EXPERIMENT SHOWING CHAOS AND HYPERCHAOS
STOOP, R
PEINKE, J
PARISI, J
ROHRICHT, B
HUEBENER, RP
[J]. PHYSICA D, 1989, 35 (03): : 425 - 435
[9] EVALUATION OF LYAPUNOV EXPONENTS AND SCALING FUNCTIONS FROM TIME-SERIES
STOOP, R
MEIER, PF
[J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1988, 5 (05) : 1037 - 1045
[10] STOOP R, IN PRESS PHYS REV A

← 1 2 →