Jamsek Janez, Stefanovska Aneta, McClintock Peter V E, Khovanov Igor A
Group of Nonlinear Dynamics and Synergetics, Faculty of Electrical Engineering, University of Ljubljana, Trzaska 25, 1000 Ljubljana, Slovenia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Jul;68(1 Pt 2):016201. doi: 10.1103/PhysRevE.68.016201. Epub 2003 Jul 3.
Bispectral analysis, a technique based on high-order statistics, is extended to encompass time dependence for the case of coupled nonlinear oscillators. It is applicable to univariate as well as to multivariate data obtained, respectively, from one or more of the oscillators. It is demonstrated for a generic model of interacting systems whose basic units are the Poincaré oscillators. Their frequency and phase relationships are explored for different coupling strengths, both with and without Gaussian noise. The distinctions between additive linear or quadratic, and parametric (frequency modulated), interactions in the presence of noise are illustrated.
双谱分析是一种基于高阶统计量的技术，现被扩展以涵盖耦合非线性振荡器情况下的时间依赖性。它适用于分别从一个或多个振荡器获得的单变量数据以及多变量数据。针对以庞加莱振荡器为基本单元的相互作用系统的一般模型进行了论证。研究了在有和没有高斯噪声的情况下，不同耦合强度下它们的频率和相位关系。阐述了在存在噪声的情况下，加性线性或二次相互作用与参数（频率调制）相互作用之间的区别。
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