Amplification of explosive width in complex networks

TL;DR

This paper introduces an adaptive coupling strategy to induce and enhance explosive synchronization in complex networks of phase oscillators, effectively controlling hysteresis and phase frustration effects.

Contribution

The paper presents a novel adaptive coupling method that amplifies explosive width and mitigates phase frustration in complex oscillator networks, supported by a semi-analytical predictive model.

Findings

Enhanced explosive synchronization achieved with significant hysteresis width.

The strategy is robust across different network structures and frequency distributions.

The semi-analytical model accurately predicts synchronization transitions.

Abstract

We present an adaptive coupling strategy to induce hysteresis/explosive synchronization (ES) in complex networks of phase oscillators Sakaguchi-Kuramoto model). The coupling strategy ensures explosive synchronization with significant explosive width enhancement. Results show the robustness of the strategy and the strategy can diminish (by inducing enhanced hysteresis loop) the contrarian impact of phase frustration in the network, irrespective of network structure or frequency distributions. Additionally, we design a set of frequency for the oscillators which eventually ensure complete in-phase synchronization behavior among these oscillators (with enhanced explosive width) in the case of adaptive-coupling scheme. Based on a mean-field analysis, we develop a semi-analytical formalism, which can accurately predict the backward transition of synchronization order parameter.