Influence of Topology in the Emergence of Explosive Synchronization in Networks of Oscillators

Abstract

Abrupt transitions in the dynamic behavior of oscillator networks are intriguing phenomena observed in various physical systems, though their causes are not completely understood. This study investigates how network structure, the natural frequencies, and the coupling strengths between nodes influence the emergence of abrupt transitions to the synchronous state (explosive synchronization) in networks of quadrature electronic oscillators. Unlike many works, this paper presents experimental results, in addition to simulated numerical results, indicating that networks with a higher degree of connections between nodes and lower heterogeneity in natural frequencies and coupling strengths tend to exhibit more explosive synchronization for the analyzed cases. The quadrature oscillator demonstrated to be an interesting tool for experimental validation of emerging phenomena.