Multi-dimensional Opinion Chaos Synchronization Based on Multi-layer Complex Networks

In this paper we discuss the dynamics of opinion evolution on multi-layer complex networks. A new multi-dimensional opinion evolution model combining multi-layer complex network and Lorenz chaotic system is investigated for opinion synchronization of multi-layer complex networks. The model can be attached to multiple event opinions and simulate the evolution dynamics of the multi-dimensional opinions under natural conditions. Based on the Lyapunov function, a new criterion for opinion synchronization of multi-layer complex networks is proposed. And the reliability of the model and criteria is verified by the Runge-Kutta (RK4) simulation.