Detecting synchronization of self-sustained oscillators by external driving with varying frequency

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
9 pages, 7 figures

Keywords

Chaotic Dynamics, Adaptation and Self-Organizing Systems, Pattern Formation and Solitons, Biological Physics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/109166

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0602024
 http://arxiv.org/abs/nlin/0602024
 Phys. Rev. E 73, 026208 (2006)
 doi:10.1103/PhysRevE.73.026208

Collections

arXiv