Rigorously computed orbits of dynamical systems without the wrapping effect

被引：246

作者：

Kuhn, W ^{[1
]}

机构：

[1] ZIB, D-14195 Berlin, Germany

来源：

COMPUTING | 1998年 / 61卷 / 01期

关键词：

dynamical systems; wrapping effect; zonotopes;

D O I：

10.1007/BF02684450

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 [计算机软件与理论];

摘要：

A new method for rigorously computing orbits of discrete dynamical systems is introduced. High order zonotope enclosures of the orbit are computed, using only matrix algebra. The wrapping effect can be made arbitrarily small by choosing the order high enough. The method is easy to implement and especially suited for parallel computing. It is compared to other well known strategies, and several examples are given.

引用

页码：47 / 67

页数：21

共 16 条

[1]

[Anonymous], THESIS U KARLSRUHE

[2]

REDUCING THE WRAPPING EFFECT [J].