RECONSTRUCTING EQUATIONS OF MOTION FROM EXPERIMENTAL-DATA WITH UNOBSERVED VARIABLES

被引：84

作者：

BREEDEN, JL ^{[1
]}

HUBLER, A ^{[1
]}

机构：

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

来源：

PHYSICAL REVIEW A | 1990年 / 42卷 / 10期

关键词：

D O I：

10.1103/PhysRevA.42.5817

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We have developed a method for reconstructing equations of motion for systems where all the necessary variables have not been observed. This technique can be applied to systems with one or several such hidden variables, and can be used to reconstruct maps or differential equations. The effects of experimental noise are discussed through specific examples. The control of nonlinear systems containing hidden variables is also discussed. © 1990 The American Physical Society.

引用

页码：5817 / 5826

页数：10