Chaos and experimental resolution

被引：4

作者：

Binder, PM ^{[1
]}

Cuéllar, MC ^{[1
]}

机构：

[1] Univ Los Andes, Dept Fis, Bogota, Colombia

来源：

PHYSICAL REVIEW E | 2000年 / 61卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.61.3685

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We study systematically what levels of finite-resolution in measurements significantly affect the calculation of time delays, embedding dimensions, and Lyapunov exponent for two well-known chaotic systems. We find a tradeoff between the information contained in the measured time series and what is lost. Moreover, the "noise" series is low-dimensional and highly correlated.

引用

页码：3685 / 3688

页数：4

共 39 条

[21] Self-organized segregation within an evolving population [J].

Johnson, NF ;

Hui, PM ;

Jonson, R ;

Lo, TS .

PHYSICAL REVIEW LETTERS, 1999, 82 (16) :3360-3363

[22]

Kantz H., 1999, NONLINEAR TIME SERIE

[23] DIRECT TEST FOR DETERMINISM IN A TIME-SERIES [J].

KAPLAN, DT ;

GLASS, L .

PHYSICAL REVIEW LETTERS, 1992, 68 (04) :427-430

[24]

KELLERT SH, 1994, WAKE CHAOS, P29

[25] DETERMINING EMBEDDING DIMENSION FOR PHASE-SPACE RECONSTRUCTION USING A GEOMETRICAL CONSTRUCTION [J].

KENNEL, MB ;

BROWN, R ;

ABARBANEL, HDI .

PHYSICAL REVIEW A, 1992, 45 (06) :3403-3411

[26] Symbolic analysis of chaotic signals and turbulent fluctuations [J].

Lehrman, M ;

Rechester, AB ;

White, RB .

PHYSICAL REVIEW LETTERS, 1997, 78 (01) :54-57

[27]

Lorenz E., 1993, The Essence of Chaos, P181

[28]

LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO

[29]

[30]

OTT E, 1994, COPIN CHAOS

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