Recurrence quantification based Liapunov exponents for monitoring divergence in experimental data

被引：143

作者：

Zbilut, JP

Zaldivar-Comenges, JM

Strozzi, F

机构：

[1] Rush Univ, Dept Mol Biophys & Physiol, Chicago, IL 60612 USA

[2] Commiss European Communities, Joint Res Ctr, Inst Environm & Sustainabil, I-21020 Ispra, VA, Italy

[3] Carlo Cattaneo Univ, Dept Engn, Quantitat Methods Grp, Castellanza, VA, Italy

来源：

PHYSICS LETTERS A | 2002年 / 297卷 / 3-4期

关键词：

Liapunov exponent; recurrence quantification; nonlinear dynamics; chaos; thermal reactions;

D O I：

10.1016/S0375-9601(02)00436-X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Although the use of positive Liapunov exponents has been emphasized in the context of confirmation of chaotic dynamics, their original conception concerned system stability as a qualitative feature. Using a recurrence-based algorithm, data from experimental reactions are presented for exponent use in this context. Emphasis is placed on the utility for on-line, nonstationary, noisy systems. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：173 / 181

页数：9

共 22 条

[1] ESTIMATING CORRELATION DIMENSION FROM A CHAOTIC TIME-SERIES - WHEN DOES PLATEAU ONSET OCCUR [J].