Additive nonparametric reconstruction of dynamical systems from time series

被引：14

作者：

Abel, M ^{[1
]}

Ahnert, K ^{[1
]}

Kurths, R ^{[1
]}

Mandelj, S ^{[1
]}

机构：

[1] Univ Potsdam, Inst Phys, D-14415 Potsdam, Germany

来源：

PHYSICAL REVIEW E | 2005年 / 71卷 / 01期

关键词：

D O I：

10.1103/PhysRevE.71.015203

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：

We present a nonparametric way to retrieve an additive system of differential equations in embedding space from a single time series. These equations can be treated with dynamical systems theory and allow for long-term predictions. We apply our method to a modified chaotic Chua oscillator in order to demonstrate its potential.

引用

页数：4

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