Asymptotically local synchronization in interdependent networks with unidirectional interlinks
Zilin Gao1, Weimin Luo1, Aizhong Shen2
1School of Computer Science and Engineering, Chongqing Three Gorges University, Chongqing, China.
Plos One
|May 5, 2022
Summary
This study introduces a control scheme for synchronization in unidirectional interdependent complex networks. The method ensures synchronization in one network even if the other experiences chaos, demonstrating robustness against cascading failures.
Area of Science:
- Complex Networks
- Nonlinear Dynamics
- Control Theory
Background:
- Synchronization in complex networks is a long-standing research area.
- Interdependent networks present unique challenges due to asymmetric interlinks.
- Synchronization in unidirectional interdependent networks requires specialized control strategies.
Purpose of the Study:
- To develop and analyze a control scheme for synchronization in unidirectional interdependent networks.
- To investigate the impact of coupling functions and strengths on synchronization.
- To assess the scheme's robustness against cascading failures.
Main Methods:
- Development of a mathematical model for unidirectional interdependent networks.
- Theoretical proof of control scheme feasibility using Lyapunov stability theory.
- Verification through numerical simulations, including analysis of coupling parameters and cascading failures.
Main Results:
- The proposed control scheme theoretically guarantees and experimentally verifies synchronization in one sub-network.
- Synchronization can be maintained in one sub-network while the other remains in a chaotic state.
- The scheme effectively mitigates the influence of interlinks and demonstrates robustness against cascading failures.
Conclusions:
- The developed control scheme is effective for achieving and maintaining synchronization in unidirectional interdependent networks.
- The findings highlight the potential to control synchronization dynamics in complex, interconnected systems.
- The scheme offers a reliable method for ensuring network stability even under disturbance conditions.
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