Detecting direction of coupling in interacting oscillators

被引：336

作者：

Rosenblum, MG ^{[1
]}

Pikovsky, AS ^{[1
]}

机构：

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

来源：

PHYSICAL REVIEW E | 2001年 / 64卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.64.045202

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 experimental detection of directionality of weak coupling between two self-sustained oscillators from bivariate data. The technique is applicable to both noisy and chaotic systems that can be nonidentical or even structurally different. We introduce an index that quantifies the asymmetry in coupling.

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相关论文

共 26 条

[1]

Abarbanel H, 1996, ANAL OBSERVED CHAOTI

[2] A robust method for detecting interdependences: application to intracranially recorded EEG [J].

Arnhold, J ;

Grassberger, P ;

Lehnertz, K ;

Elger, CE .

PHYSICA D-NONLINEAR PHENOMENA, 1999, 134 (04) :419-430

[3]

BEST RE, 1984, PHASE LOCKED LOOPS

[4] Asymptotically stable phase synchronization revealed by autoregressive circle maps [J].

Drepper, FR .

PHYSICAL REVIEW E, 2000, 62 (05) :6376-6382

[5] Extracting model equations from experimental data [J].

Friedrich, R ;

Siegert, S ;

Peinke, J ;

Lück, S ;

Siefert, M ;

Lindemann, M ;

Raethjen, J ;

Deuschl, G ;

Pfister, G .

PHYSICS LETTERS A, 2000, 271 (03) :217-222

[6]

Kantz H, 1997, Nonlinear Time Series Analysis

[7]

Kuramoto Y., 1984, CHEM OSCILLATIONS WA, VVolume 19

[8] Studying single-trials of phase synchronous activity in the brain [J].

Lachaux, JP ;

Rodriguez, E ;

Van Quyen, ML ;

Lutz, A ;

Martinerie, J ;

Varela, FJ .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2000, 10 (10) :2429-2439

[9]

LAKHAREV KK, 1991, DYNAMCIS JOSEPHSON J

[10] Nonlinear interdependencies of EEG signals in human intracranially recorded temporal lobe seizures [J].

Le van Quyen, M ;

Adam, C ;

Baulac, M ;

Martinerie, J ;

Varela, FJ .

BRAIN RESEARCH, 1998, 792 (01) :24-40