NONLINEAR-ANALYSIS OF DATA SAMPLED NONUNIFORMLY IN TIME

被引：6

作者：

BREEDON, JL ^{[1
]}

PACKARD, NH ^{[1
]}

机构：

[1] UNIV ILLINOIS,DEPT PHYS,URBANA,IL 61801

来源：

PHYSICA D | 1992年 / 58卷 / 1-4期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0167-2789(92)90115-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We demonstrate how some of thee common methods in nonlinear data analysis can be modified to account for nonuniform time sampling by using fuzzy delay coordinate reconstructions. The effects of measurement noise and time sampling errors are compared. We have also developed a learning algorithm to find optimal fuzzy delay coordinate reconstructions of the data to suit one's goals. This can be employed to find representations optimized for measuring topological invariants, forecasting, control, or other goals.

引用

页码：273 / 283

页数：11

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