DETERMINING LYAPUNOV EXPONENTS FROM A TIME-SERIES

被引：7738

作者：

WOLF, A ^{[1
]}

SWIFT, JB ^{[1
]}

SWINNEY, HL ^{[1
]}

VASTANO, JA ^{[1
]}

机构：

[1] UNIV TEXAS,DEPT PHYS,AUSTIN,TX 78712

来源：

PHYSICA D | 1985年 / 16卷 / 03期

关键词：

D O I：

10.1016/0167-2789(85)90011-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：285 / 317

页数：33

共 44 条

[1] TESTING NONLINEAR DYNAMICS [J].

ABRAHAM, NB ;

GOLLUB, JP ;

SWINNEY, HL .

PHYSICA D, 1984, 11 (1-2) :252-264

[2]

Benettin G., 1980, MECCANICA, V15, P9, DOI 10.1007/BF02128236

[3] THE POWER OF CHAOS [J].

BLACHER, S ;

PERDANG, J .

PHYSICA D, 1981, 3 (03) :512-529

[4] ERGODIC THEORY OF AXIOM A FLOWS [J].

BOWEN, R ;

RUELLE, D .

INVENTIONES MATHEMATICAE, 1975, 29 (03) :181-202

[5] LOW-DIMENSIONAL CHAOS IN A HYDRODYNAMIC SYSTEM [J].

BRANDSTATER, A ;

SWIFT, J ;

SWINNEY, HL ;

WOLF, A ;

FARMER, JD ;

JEN, E ;

CRUTCHFIELD, PJ .

PHYSICAL REVIEW LETTERS, 1983, 51 (16) :1442-1445

[6]

CILIBERTO S, CHAOTIC MODE COMPETI

[7] SYMBOLIC DYNAMICS OF NOISY CHAOS [J].

CRUTCHFIELD, JP ;

PACKARD, NH .

PHYSICA D, 1983, 7 (1-3) :201-223

[8] FLUCTUATIONS AND SIMPLE CHAOTIC DYNAMICS [J].

CRUTCHFIELD, JP ;

FARMER, JD ;

HUBERMAN, BA .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1982, 92 (02) :45-82

[9] THE DIMENSION OF CHAOTIC ATTRACTORS [J].

FARMER, JD ;

OTT, E ;

YORKE, JA .

PHYSICA D-NONLINEAR PHENOMENA, 1983, 7 (1-3) :153-180

[10] THE LIAPUNOV DIMENSION OF STRANGE ATTRACTORS [J].

FREDERICKSON, P ;

KAPLAN, JL ;

YORKE, ED ;

YORKE, JA .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1983, 49 (02) :185-207

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