An algorithm for estimating fixed points of dynamical systems from time series

被引：9

作者：

Aguirre, LA

Souza, AVP

机构：

[1] Univ Fed Minas Gerais, Ctr Pesquisa & Desenvolvimento Engn Eletr, BR-31270901 Belo Horizonte, MG, Brazil

[2] Univ Fed Minas Gerais, Dept Engn Eletron, BR-31270901 Belo Horizonte, MG, Brazil

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1998年 / 8卷 / 11期

关键词：

D O I：

10.1142/S0218127498001790

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper presents an algorithm for estimating fixed points of dynamical systems from time series. In some cases the new procedure can accurately estimate fixed points of which there is very little information in the data. Another advantage is that, although no prior knowledge is assumed, the new algorithm permits the user to employ a priori information about the system such as symmetry and the existence of a trivial fixed paint. The new algorithm is tested on the Lorenz and Rossler systems and on real data taken from Chua's circuit.

引用

页码：2203 / 2213

页数：11

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