LOCAL EXPONENTIAL DIVERGENCE PLOT AND OPTIMAL EMBEDDING OF A CHAOTIC TIME-SERIES

被引：75

作者：

GAO, JB

ZHENG, ZM

机构：

[1] Laboratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, Chinese Academy of Sciences, Beijing

来源：

PHYSICS LETTERS A | 1993年 / 181卷 / 02期

关键词：

D O I：

10.1016/0375-9601(93)90913-K

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

we propose here a local exponential divergence plot which is capable of providing a new means of characterizing chaotic time series. The suggested plot defines a time dependent exponent LAMBDA and a ''plus'' exponent LAMBDA+ which serves as a criterion for estimating simultaneously the minimal acceptable embedding dimension, the proper delay time and the largest Lyapunov exponent.

引用

页码：153 / 158

页数：6

共 25 条

[1] LOCAL LYAPUNOV EXPONENTS COMPUTED FROM OBSERVED DATA [J].

ABARBANEL, HDI ;

BROWN, R ;

KENNEL, MB .

JOURNAL OF NONLINEAR SCIENCE, 1992, 2 (03) :343-365

[2] ESTIMATING THE EMBEDDING DIMENSION [J].

ALEKSIC, Z .

PHYSICA D, 1991, 52 (2-3) :362-368

[3]

[Anonymous], 1991, J NONLINEAR SCI, DOI [10.1007/BF01209065, DOI 10.1007/BF01209065]

[4] ESTIMATION OF THE NUMBER OF DEGREES OF FREEDOM FROM CHAOTIC TIME-SERIES [J].

CENYS, A ;

PYRAGAS, K .

PHYSICS LETTERS A, 1988, 129 (04) :227-230

[5] ERGODIC-THEORY OF CHAOS AND STRANGE ATTRACTORS [J].

ECKMANN, JP ;

RUELLE, D .

REVIEWS OF MODERN PHYSICS, 1985, 57 (03) :617-656

[6] INDEPENDENT COORDINATES FOR STRANGE ATTRACTORS FROM MUTUAL INFORMATION [J].

FRASER, AM ;

SWINNEY, HL .

PHYSICAL REVIEW A, 1986, 33 (02) :1134-1140

[7] MEASURING THE STRANGENESS OF STRANGE ATTRACTORS [J].

GRASSBERGER, P ;

PROCACCIA, I .

PHYSICA D, 1983, 9 (1-2) :189-208

[8] ESTIMATION OF THE KOLMOGOROV-ENTROPY FROM A CHAOTIC SIGNAL [J].

GRASSBERGER, P ;

PROCACCIA, I .

PHYSICAL REVIEW A, 1983, 28 (04) :2591-2593

[9] AT LEAST ONE LYAPUNOV EXPONENT VANISHES IF THE TRAJECTORY OF AN ATTRACTOR DOES NOT CONTAIN A FIXED-POINT [J].

HAKEN, H .

PHYSICS LETTERS A, 1983, 94 (02) :71-72

[10] 2-DIMENSIONAL MAPPING WITH A STRANGE ATTRACTOR [J].

HENON, M .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1976, 50 (01) :69-77

← 1 2 3 →