Explosive synchronization in temporal networks: A comparative study

TL;DR

This study compares how different temporal network configurations influence the occurrence of explosive synchronization among phase oscillators, highlighting the impact of movement, coupling strategies, and connection probabilities.

Contribution

It provides a comparative analysis of explosive synchronization in various temporal network models, considering oscillator mobility and coupling schemes.

Findings

Coupling to all oscillators in the vision circle facilitates ES.

Oscillator movement and connection probability significantly affect ES onset.

Different network configurations exhibit distinct critical coupling thresholds.

Abstract

We present a comparative study on Explosive Synchronization (ES) in temporal networks consisting of phase oscillators. The temporal nature of the networks is modeled with two configurations: (1) oscillators are allowed to move in a closed two dimensional box such that they couple with their neighbors, (2) oscillators are static and they randomly switch their coupling partners. Configuration (1) is further studied under two possible scenarios: in the first case oscillators couple to fixed numbers of neighbors while in other they couple to all oscillators lying in their circle of vision. Under these circumstances, we monitor the degrees of temporal networks, velocities, and radius of circle of vision of the oscillators, and the probability of forming connections in order to study and compare the critical values of the coupling required to induce ES in the population of phase oscillators.