Uniform synchronous criticality of diversely random complex networks

TL;DR

This paper reveals a universal critical point for synchronization in diverse random complex networks of oscillators, regardless of their topological complexity, confirmed through numerical simulations.

Contribution

It introduces the concept of uniform coupling criticality in complex networks, independent of network topology complexity.

Findings

Synchronization criticality is uniform across different network topologies.

Numerical simulations verify the independence of criticality from network complexity.

The study applies to networks of limit-cycle oscillators with asymmetric coupling.

Abstract

We investigate collective synchronous behaviors in random complex networks of limit-cycle oscillators with the non-identical asymmetric coupling scheme, and find a uniform coupling criticality of collective synchronization which is independent of complexity of network topologies. Numerically simulations on categories of random complex networks have verified this conclusion.