Identification of a Group's Physiological Synchronization with Earth's magnetic field

Abstract

A new analysis technique for the evaluation of the degree of geometrical synchronization between the physiological state of a group of people and changes in the Earth's magnetic field based on their cardiac inter-beat intervals was developed. The technique was validated using a system of two nonlinear pendulum models with harmonic excitation coupled with diffusive terms. It was shown that as the coupling parameter is increased, the synchronization between numerical solutions corresponding to respective oscillators also increases. Furthermore, the transition between different synchronization regimes is investigated and it is demonstrated that the presented technique is able to distinguish different coupling strengths of the considered nonliner chaotic oscillators. The validated technique was applied to the real-world data in the following way: HRV and magnetic field time series were reduced into respective sequences of integers using chaotic attractor embedding. Firstly, a time series is mapped to the two-dimensional space using standard embedding techniques. [...].