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.
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页码：25 / 46
页数：21
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