AI Article Synopsis
- The study focuses on synchronization in unidirectional interdependent networks, examining how these unique connections impact control schemes.
- The proposed mathematical model accounts for factors like different coupling strengths and functions, demonstrating feasibility through Lyapunov stability theory and simulations.
- The findings highlight that the control scheme can maintain synchronization in one sub-network amid chaos in another, indicating resilience to disturbances and cascading failures.
Article 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 sub-network are in chaos. The result indicates that the influence of interlinks can be decreased and the proposed scheme can guarantee the synchronization in one sub-network at least. Moreover, we also discuss the robust of our control scheme against the cascading failure. The scheme is verified by simulations to be effective while the disturbances occur.
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Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC9070916 | PMC |
| http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0267909 | PLOS |
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