ON THE NUMERICAL ALGEBRAIC-APPROXIMATION OF GLOBAL ATTRACTORS

被引：25

作者：

FOIAS, C

JOLLY, MS

机构：

[1] Dept. of Math., Indiana Univ., Bloomington, IN

来源：

NONLINEARITY | 1995年 / 8卷 / 03期

关键词：

D O I：

10.1088/0951-7715/8/3/001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An algebraic approximation of global attractors introduced by Foias and Temam is developed into a numerically stable algorithm and implemented for the Lorenz system and Kuramoto-Sivashinsky equation. An error estimate is derived for the numerical computation of a sequence of improper integrals needed for the polynomials. The zero sets of the approximating polynomials are observed to approach the global attractor at rates which seem to vary with the recurrence of the solution orbits.

引用

页码：295 / 319

页数：25

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