Diffusion Dynamics and Optimal Coupling in Multiplex Networks with Directed Layers

Alejandro Tejedor, Anthony Longjas, Efi Foufoula-Georgiou, Tryphon T. Georgiou, Yamir Moreno
2018 Physical Review X  
We study the dynamics of diffusion processes acting on directed multiplex networks, i.e., coupled multilayer networks where at least one layer consists of a directed graph. We reveal that directed multiplex networks may exhibit a faster diffusion at an intermediate degree of coupling than when the two layers are fully coupled. We use three simple multiplex examples and a real-world topology to illustrate the characteristics of the directed dynamics that give rise to a regime in which an optimal
more » ... coupling exists. Given the ubiquity of both directed and multilayer networks in nature, our results could have important implications for the dynamics of multilevel complex systems towards optimality.
doi:10.1103/physrevx.8.031071 fatcat:r4ra2v2y2zbptjm6rwxjsbegeu