TURBULENCE IN MULTISTEP METHODS FOR INITIAL-VALUE PROBLEMS

被引：39

作者：

PRUFER, M

机构：

[1] Univ Bremen, Bremen, West Ger, Univ Bremen, Bremen, West Ger

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1985年 / 45卷 / 01期

关键词：

D O I：

10.1137/0145002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Solving a scalar initial value problem with a numerical k-step scheme amounts to iterating a k-dimensional discrete dynamical system. In this paper the author investigates regular and chaotic behavior of some dynamical systems associated with Adams-Bashforth formulas applied to a simple nonlinear test equation.

引用

页码：32 / 69

页数：38

共 37 条

[1]

ARONSON DG, 1982, COMM MATH PHYS, V83, P355

[2]

BREZZI F, 1984, NUMERICAL METHODS BI, P79

[3]

Collet P., 1980, ITERATED MAPS INTERV

[4]

ECKMANN JP, UGVADPT198104290 U G

[5]

FARMER JD, 1982, PHYSICA D, V4, P366, DOI 10.1016/0167-2789(82)90042-2

[6] UNIVERSAL METRIC PROPERTIES OF NON-LINEAR TRANSFORMATIONS [J].

FEIGENBAUM, MJ .

JOURNAL OF STATISTICAL PHYSICS, 1979, 21 (06) :669-706

[7] CHARACTERISTIC EXPONENTS AND STRANGE ATTRACTORS [J].

FEIT, SD .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 61 (03) :249-260

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

FREDERICKSON, P ;

KAPLAN, JL ;

YORKE, ED ;

YORKE, JA .

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

[9]

GREBOGI C, ORDER IN CHAOS, P181

[10]

HELLEMAN RHG, 1980, FUNDAMENTAL PROBLEMS, V5, P165

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