Cross-Modulated Amplitudes and Frequencies Characterize Interacting Components in Complex Systems

被引：37

作者：

Gans, Fabian ^{[1
]}

Schumann, Aicko Y. ^{[1
]}

Kantelhardt, Jan W. ^{[1
]}

Penzel, Thomas ^{[2
]}

Fietze, Ingo ^{[2
]}

机构：

[1] Univ Halle Wittenberg, Inst Phys, Halle, Germany

[2] Charite, Schlafmed Zentrum, Berlin, Germany

来源：

PHYSICAL REVIEW LETTERS | 2009年 / 102卷 / 09期

关键词：

FLUCTUATION ANALYSIS; CHAOTIC SYSTEMS; SLEEP; EEG; SYNCHRONIZATION; OSCILLATIONS; SIGNAL; ALPHA;

D O I：

10.1103/PhysRevLett.102.098701

中图分类号：

O4 [物理学];

学科分类号：

070305 [高分子化学与物理];

摘要：

The dynamics of complex systems is characterized by oscillatory components on many time scales. To study the interactions between these components we analyze the cross modulation of their instantaneous amplitudes and frequencies, separating synchronous and antisynchronous modulation. We apply our novel technique to brain-wave oscillations in the human electroencephalogram and show that interactions between the alpha wave and the delta or beta wave oscillators as well as spatial interactions can be quantified and related with physiological conditions (e.g., sleep stages). Our approach overcomes the limitation to oscillations with similar frequencies and enables us to quantify directly nonlinear effects such as positive or negative frequency modulation.

引用

页数：4

共 32 条

[1]

Detrending fluctuation analysis based on moving average filtering [J].