Estimating nonlinear interdependences in dynamical systems using cellular nonlinear networks

被引：19

作者：

Krug, Dieter ^{[1
,2
]}

Osterhage, Hannes ^{[1
,2
]}

Elger, Christian E. ^{[1
]}

Lehnertz, Klaus ^{[1
,2
,3
]}

机构：

[1] Univ Bonn, Dept Epileptol, D-53105 Bonn, Germany

[2] Univ Bonn, Helmholtz Inst Radiat & Nucl Phys, D-53115 Bonn, Germany

[3] Univ Bonn, Interdisciplinary Ctr Complex Syst, D-53117 Bonn, Germany

来源：

PHYSICAL REVIEW E | 2007年 / 76卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.76.041916

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 propose a method for estimating nonlinear interdependences between time series using cellular nonlinear networks. Our approach is based on the nonlinear dynamics of interacting nonlinear elements. We apply it to time series of coupled nonlinear model systems and to electroencephalographic time series from an epilepsy patient, and we show that an accurate approximation of symmetric and asymmetric realizations of a nonlinear interdependence measure can be achieved, thus allowing one to detect the strength and direction of couplings.

引用

页数：7

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