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arXiv · 0705.2484

Diagnostics of the Synchronization of Self-Oscillatory Systems by an External Force with Varying Frequency with the Use of Wavelet Analysis

Alexey Koronovskii·Vladimir Ponomarenko·Mikhail Prokhorov·Alexander Hramov
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Abstract

A diagnostics method based on a continuous wavelet transform is proposed. This method makes it possible to diagnose the presence of synchronization of the oscillations of a self-excited oscillator locked by an external force with a linearly modulated frequency and to distinguish such a situation from the case when an external signal leaks into self-oscillations; i.e., the signals are summed without a change in the self-oscillation frequency. The method's efficiency is shown with the use of a Van der Pol generator and experimental physiological data as examples.

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Alexey Koronovskii, Vladimir Ponomarenko, Mikhail Prokhorov, Alexander Hramov. 2007-05-17. Diagnostics of the Synchronization of Self-Oscillatory Systems by an External Force with Varying Frequency with the Use of Wavelet Analysis. https://doi.org/10.1134/s1064226907050087

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