Detecting synchronization of self-sustained oscillators by external driving with varying frequency
Chaotic Dynamics
2007-05-23 v2 Adaptation and Self-Organizing Systems
Pattern Formation and Solitons
Biological Physics
Abstract
We propose a method for detecting the presence of synchronization of self-sustained oscillator by external driving with linearly varying frequency. The method is based on a continuous wavelet transform of the signals of self-sustained oscillator and external force and allows one to distinguish the case of true synchronization from the case of spurious synchronization caused by linear mixing of the signals. We apply the method to driven van der Pol oscillator and to experimental data of human heart rate variability and respiration.
Keywords
Cite
@article{arxiv.nlin/0602024,
title = {Detecting synchronization of self-sustained oscillators by external driving with varying frequency},
author = {Alexander E. Hramov and Alexey A. Koronovskii and Vladimir I. Ponomarenko and Mikhail D. Prokhorov},
journal= {arXiv preprint arXiv:nlin/0602024},
year = {2007}
}
Comments
9 pages, 7 figures