OBSERVING CHAOS - DEDUCING AND TRACKING THE STATE OF A CHAOTIC SYSTEM FROM LIMITED OBSERVATION

被引：43

作者：

SO, P

OTT, E

DAYAWANSA, WP

机构：

[1] UNIV MARYLAND,PLASMA RES LAB,COLLEGE PK,MD 20742

[2] UNIV MARYLAND,DEPT ELECT ENGN,COLLEGE PK,MD 20742

[3] UNIV MARYLAND,SYST RES CTR,COLLEGE PK,MD 20742

来源：

PHYSICAL REVIEW E | 1994年 / 49卷 / 04期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevE.49.2650

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

A method is proposed whereby the full state vector of a chaotic system can be reconstructed and tracked using only the time series of a single observed scalar. It is assumed that an accurate mathematical description of the system is available. Noise effects on the procedure are investigated using as an example a kicked mechanical system which results in a four-dimensional dissipative map.

引用

页码：2650 / 2660

页数：11

共 9 条

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