A unified dynamic scaling property for the unified hybrid network theory framework

Abstract

In this article, we present a new type of unified dynamic scaling property for synchronizability, which can describe the scaling relationship between dynamic synchronizability and four hybrid ratios under the unified hybrid network theory framework (UHNTF). Our theory results can not only be applied to judge and analyze dynamic synchronizability for most of complex networks associated with the UHNTF, but also we can flexibly adjust and design different hybrid ratios and scaling exponent to meet actual requirement for the dynamic characteristics of the UHNTF.