Reconstructing embedding spaces of coupled dynamical systems from multivariate data

被引：44
|
作者：
Boccaletti, S
Valladares, DL
Pecora, LM
Geffert, HP
Carroll, T
机构：
[1] Ist Nazl Ott Applicat, I-50125 Florence, Italy
[2] Univ Navarra, Dept Fis Matemat Aplicada, E-31080 Pamplona, Spain
[3] Univ Nacl San Luis, Dept Fis, San Luis, Argentina
[4] USN, Res Lab, Washington, DC 20375 USA
来源：
PHYSICAL REVIEW E | 2002年 / 65卷 / 03期
关键词：
D O I：
10.1103/PhysRevE.65.035204
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 for reconstructing dimensions of subspaces for weakly coupled dynamical systems is offered. The tool is able to extrapolate the subspace dimensions from the zero coupling limit, where the division of dimensions as per the algorithm is exact. Implementation of the proposed technique to multivariate data demonstrates its effectiveness in disentangling subspace dimensionalities also in the case of emergent synchronized motions, for both numerical and experimental systems.
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页数：4
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