Synchronization of Weak Signals in Dynamic Systems

TL;DR

This paper introduces a novel methodology combining Duffing oscillators and Kuramoto networks to detect and synchronize weak signals in noisy dynamic systems, demonstrated through seismic data analysis.

Contribution

It presents a new approach for weak signal detection and synchronization in noisy environments using combined oscillator models, applicable to various dynamical systems.

Findings

Effective detection of weak signals in noisy data.

Successful synchronization of seismic signals.

Potential for broader applications in dynamic systems.

Abstract

The present study proposes a methodology that combines the 'Duffing oscillator system' and the 'Kuramoto oscillator network' to explore the synchronization of weak signals in dynamic systems. The first step of the procedure is to detect weak periodic or quasi-periodic signals in noisy data collected from the quantifiable processes of any dynamical system using the Duffing oscillator system. The second step is to investigate how the interaction of these weak signals can be synchronized using the Kuramoto oscillator network model. This methodology was applied to seismic signals. The present study has shown that this methodology has great potential for investigating the weak signal synchronisation present within dynamic systems, as evidenced by the analysis of seismic data.