Asymptotically local synchronization in interdependent networks with unidirectional interlinks.

ABSTRACT: Synchronization in complex networks has been investigated for decades. Due to the particularity of the interlinks between networks, the synchronization in interdependent networks has received increasing interest. Since the interlinks are not always symmetric in interdependent networks, we focus on the synchronization in unidirectional interdependent networks to study the control scheme. The mathematical model is put forward and some factors are taken into consideration, such as different coupling functions and strengths. Firstly, the feasibility of the control scheme is proved theoretically by using Lyapunov stability theory and verified by simulations. Then, we find that the synchronization could be maintained in one sub-network by utilizing our control scheme while the nodes in the other

SUBMITTER: Gao Z 

PROVIDER: S-EPMC9070916 | biostudies-literature | 2022

REPOSITORIES: biostudies-literature