Using control of chaos to refine approximations to periodic points

被引：4

作者：

Aston, PJ ^{[1
]}

Bird, CM ^{[1
]}

机构：

[1] Univ Surrey, Dept Math & Stat, Guildford GU2 5XH, Surrey, England

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2000年 / 10卷 / 01期

关键词：

D O I：

10.1142/S021812740000013X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The OGY method for controlling chaos using parameter perturbations is analyzed assuming that the regression approximation to the fixed point is not exact. This leads to a method for obtaining a new approximation to the fixed point which can be applied iteratively and which gives a fixed point of high accuracy. The method is extended to systems with noise and so is appropriate for use in experimental systems.

引用

页码：227 / 235

页数：9

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