Optimal state-space reconstruction using derivatives on projected manifold

被引：20

作者：

Nichkawde, Chetan ^{[1
]}

机构：

[1] Macquarie Univ, Dept Phys & Astron, Sydney, NSW 2109, Australia

来源：

PHYSICAL REVIEW E | 2013年 / 87卷 / 02期

基金：

澳大利亚研究理事会;

关键词：

UNSTABLE PERIODIC-ORBITS; TIME-DELAY; CHAOS; SYNCHRONIZATION; ATTRACTORS; EQUATION;

D O I：

10.1103/PhysRevE.87.022905

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 paradigm for optimal state-space reconstruction with nonuniform time delays is proposed. A comparison based on a diffeomorphic measure and a smoothness cost function shows that the proposed methodology achieves a better reconstruction compared to a reconstruction based on time delays that are multiples of the first minimum of mutual information. It is also shown how the proposed methodology is a more reliable approach to determining the embedding dimension. DOI: 10.1103/PhysRevE.87.022905

引用

页数：8

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