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

TL;DR

This paper introduces a wavelet-based diagnostic method to detect synchronization in self-oscillatory systems under external forcing with varying frequency, effectively distinguishing true synchronization from mere signal leakage.

Contribution

It presents a novel wavelet analysis technique for diagnosing synchronization in self-oscillatory systems with linearly modulated external forces, validated on Van der Pol and physiological data.

Findings

Effective detection of synchronization using wavelet analysis.

Ability to distinguish true synchronization from signal leakage.

Validated method on both electronic and physiological systems.

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.