Graph Comparison and Coupling Strength Allocation for Synchronization in Multiplex Networks

This paper is aimed at exploring the strength allocation strategy on multiplex network from the perspective of graph theory. Assuming the topology and the sum of strength are fixed, distributing couplings strength with different numerical value to enhance synchronizability. Compared with average distribution and degree distribution, allocation referred to graph comparison method is more comprehensive and high-performance. Numerical examples for physical multiplex network are also provided to confirm the effectiveness.