Numerical Taylor expansions for invariant manifolds

被引：0

作者：

Timo Eirola

Jan von Pfaler

机构：

[1] Helsinki University of Technology,Institute of Mathematics

来源：

Numerische Mathematik | 2004年 / 99卷

关键词：

Manifold; Numerical Computation; Nonlinear System; Functional Equation; Mathematical Method;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider numerical computation of Taylor expansions of invariant manifolds around equilibria of maps and flows. These expansions are obtained by writing the corresponding functional equation in a number of points, setting up a nonlinear system of equations and solving this system using a simplified Newton’s method. This approach will avoid symbolic or explicit numerical differentiation. The linear algebra issues of solving the resulting Sylvester equations are studied in detail.

引用

页码：25 / 46

页数：21

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