Journal of East China Normal University(Natural Science) ›› 2022, Vol. 2022 ›› Issue (2): 45-54.doi: 10.3969/j.issn.1000-5641.2022.02.006

• Computer Science • Previous Articles     Next Articles

Coupled propagation dynamics of different time evolution scales on double-layer networks

Yingqi ZENG1, Min TANG1,2,*()   

  1. 1. School of Communication and Electronic Engineering, East China Normal University, Shanghai 200241, China
    2. School of Physics and Electronic Science, East China Normal University, Shanghai 200241, China
  • Received:2020-11-11 Online:2022-03-25 Published:2022-03-28
  • Contact: Min TANG


Using double-layer networks, we constructed a coupled propagation model (Noisy Voter - Susceptible-Infected-Recovery) with different time evolution scales. This coupled spreading process can be characterized by numerical analysis method of microscopic Markov chain theory. We verified the accuracy of the proposed numerical analysis method using a large number of Monte Carlo simulation experiments. We found a crossover phenomenon of the phase transition type in the coupled model. Specifically, when the noise in the opinion formation process is relatively small, the information propagation scale and the proportion of positive opinions change discontinuously with the information transmission rate. At the same time, the hysteresis loop and bistability phenomenon appear, in which the phenomenon of global consensus can be observed. When the noise is large, the order parameters of these two dynamic processes vary continuously with the transmission rate.

Key words: double-layer networks, time evolution scales, coupled propagation, phase transition, crossover phenomenon

CLC Number: