Rigorous high-dimensional shadowing using containment: The general case

被引：0
|
作者：
Young, C
Hayes, WB
Jackson, KR
机构：
[1] Fields Inst, Toronto, ON M5T 3J1, Canada
[2] Univ Toronto, Dept Comp Sci, Toronto, ON M5S 3G4, Canada
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2006年 / 14卷 / 02期
关键词：
nonlinear dynamical systems; shadowing; reliable simulation;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A shadow is an exact solution to an iterated map that remains close to an approximate solution for a long time. An elegant geometric method for proving the existence of shadows is called containment, and it has been proven previously in two and three dimensions, and in some special cases in higher dimensions. This paper presents the general proof using tools from differential and algebraic topology and singular homology.
引用
收藏
页码：329 / 342
页数：14
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