Identifying and modeling delay feedback systems

被引:187
|
作者
Hegger, R
Bunner, MJ
Kantz, H
Giaquinta, A
机构
[1] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
[2] Univ Florence, Dipartimento Ingn Sistemi & Informat, I-50125 Florence, Italy
关键词
D O I
10.1103/PhysRevLett.81.558
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Systems with delayed feedback can possess chaotic attractors with extremely high dimension, even if only a few physical degrees of freedom are involved. We propose a state space reconstruction from time series data of a scalar observable, along with a novel method to identify and model such systems, if a single variable is fed back. Making use of special properties of the feedback structure, we can understand the structure of the system by constructing equivalent equations of motion in spaces with dimensions which can be much smaller than the dimension of the chaotic attractor. We verify our method using both numerical and experimental data.
引用
收藏
页码:558 / 561
页数:4
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