Dimension and local structures of attracting manifolds of smooth dynamical systems

被引：1
|
作者：
Solis, FJ [1 ]
机构：
[1] CIMAT, Guanajuato 36240, Gto, Mexico
来源：
APPLIED MATHEMATICS AND COMPUTATION | 1999年 / 100卷 / 2-3期
关键词：
dimension; curvature; eigenvalues;
D O I：
10.1016/S0096-3003(98)00020-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a numerical algorithm to compute the dimension and local structures of attracting sets or invariant manifolds of smooth dynamical systems. This algorithm is based on local adaptive Galerkin bases and is tested for several examples. The important degrees of freedom that are preferentially selected, from the geometrical point of view, are found. (C) 1999 Published by Elsevier Science Inc. All rights reserved.
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页码：169 / 175
页数：7
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