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

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dc.creatorHramov, Alexander E.
dc.creatorKoronovskii, Alexey A.
dc.creatorPonomarenko, Vladimir I.
dc.creatorProkhorov, Mikhail D.
dc.date2006-02-10
dc.date2006-02-18
dc.date.accessioned2026-07-07T07:03:55Z
dc.date.available2026-07-07T07:03:55Z
dc.descriptionWe 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.
dc.description9 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/nlin/0602024
dc.identifierhttp://arxiv.org/abs/nlin/0602024
dc.identifierPhys. Rev. E 73, 026208 (2006)
dc.identifierdoi:10.1103/PhysRevE.73.026208
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109166
dc.subjectChaotic Dynamics
dc.subjectAdaptation and Self-Organizing Systems
dc.subjectPattern Formation and Solitons
dc.subjectBiological Physics
dc.titleDetecting synchronization of self-sustained oscillators by external driving with varying frequency
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