Time-delay coordinates and polynomial mappings

被引：1
|
作者：
Pollicott, M [1 ]
机构：
[1] Univ Manchester, Dept Math, Manchester M13 9PL, Lancs, England
来源：
ADVANCES IN MATHEMATICS | 2003年 / 177卷 / 02期
关键词：
time delay; embedding; dynamical systems; polynomial maps;
D O I：
10.1016/S0001-8708(02)00018-X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The use of time-delay coordinates to reconstruct mappings is well known and provides an important practical tool in studying real-world problems. In this note we formulate the underlying mathematical analysis in the natural context of polynomial mappings and real analytic systems. This is particularly well adapted to systems defined by simple algebraic equations where, unlike in the general case, we do not require techniques from differential geometry. (C) 2003 Elsevier Science (USA). All rights reserved.
引用
收藏
页码：280 / 296
页数：17
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