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Control for a synchronization-desynchronization switch.

Zhiwei He1, Xingang Wang2, Guo-Yong Zhang3

  • 1Wuhan Center for Magnetic Resonance, State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China and University of the Chinese Academy of Sciences, Beijing 100049, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
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PubMed
Summary
This summary is machine-generated.

A novel pull-push control method precisely switches synchronization in networked dynamical systems. This method efficiently enhances or suppresses synchronization by targeting specific nodes based on eigenvector centrality.

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Area of Science:

  • Networked dynamical systems
  • Control theory
  • Graph theory

Background:

  • Controlling synchronization in complex networks is crucial for various scientific and engineering fields.
  • Existing methods for synchronization control often lack flexibility and precision.
  • A unified approach to both enhancing and suppressing synchronization is needed.

Purpose of the Study:

  • To introduce a precise and unified control method for switching between synchronization and desynchronization in networked dynamical systems.
  • To demonstrate the effectiveness of the proposed 'pull-push' control strategy.

Main Methods:

  • The study proposes a 'pull-push' control method for manipulating synchronization states.
  • Nodes for control are identified using the generalized eigenvector centrality of the critical synchronization mode of the Laplacian matrix.
  • This method allows for both achieving synchronization from a desynchronous state and inducing desynchronization from a synchronous state.

Main Results:

  • The pull-push control method successfully switches between synchronization and desynchronization.
  • The method demonstrates high efficiency, flexibility, and precision compared to existing techniques.
  • Selection of control nodes based on eigenvector centrality is key to the method's success.

Conclusions:

  • The pull-push control method offers a versatile and effective way to manage synchronization in networked systems.
  • This approach provides precise control over synchronization dynamics, applicable across diverse disciplines.
  • The method's reliance on eigenvector centrality offers a robust strategy for node selection.