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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.

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Summary
This summary is machine-generated.

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.

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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.