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Group Synchronization During Collaborative Drawing Using Functional Near-Infrared Spectroscopy
Published on: August 5, 2022
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Cluster synchronization induced by manifold deformation.
Ya Wang1, Dapeng Zhang1, Liang Wang1
1School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China.
Chaos (Woodbury, N.Y.)
|October 1, 2022
Summary
Pinning control synchronizes chaotic oscillators into two clusters. The generalized master stability function (MSF) method predicts pinned oscillator synchronization but fails for unpinned ones due to deformed manifolds.
Area of Science:
- Complex systems
- Nonlinear dynamics
- Network science
Background:
- Cluster synchronization is crucial in complex networks.
- Pinning control is a method to manipulate synchronization.
- The generalized master stability function (MSF) is a common analytical tool.
Purpose of the Study:
- To investigate pinning control of cluster synchronization in globally connected chaotic oscillator networks.
- To analyze the effectiveness of the generalized MSF method in predicting synchronization behaviors.
- To understand the underlying reasons for discrepancies in synchronization prediction.
Main Methods:
- Numerical simulations of globally connected chaotic oscillator networks.
- Application and analysis of the generalized master stability function (MSF).
- Phase space trajectory analysis to examine synchronization manifolds.
Main Results:
- Exceeding a critical pinning strength leads to two synchronized clusters: pinned and unpinned oscillators.
- The generalized MSF accurately predicts synchronization for pinned oscillators.
- The generalized MSF fails to predict synchronization for unpinned oscillators due to deformed synchronization manifolds.
- Similar phenomena observed in symmetric networks and neural oscillator networks.
Conclusions:
- The generalized MSF method has limitations in predicting synchronization for all nodes in certain complex network configurations.
- Deformed synchronization manifolds in unpinned oscillators explain the failure of the generalized MSF.
- Findings offer insights into manipulating synchronization in complex systems and complement existing analytical methods.
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