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Scalable synchronization cluster in networked chaotic oscillators.

Huawei Fan1, Yafeng Wang2, Yao Du3

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This summary is machine-generated.

A novel "scalable synchronization cluster" phenomenon is discovered in chaotic oscillators. As coupling strength increases, synchronized clusters expand by recruiting desynchronized oscillators, revealing network hierarchy.

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Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Network Science

Background:

  • Investigating collective behaviors in networks of coupled chaotic oscillators is crucial for understanding complex systems.
  • Synchronization phenomena in such networks often depend on network topology and coupling strength.

Purpose of the Study:

  • To investigate cluster synchronization in synthetic networks of coupled chaotic oscillators.
  • To identify and characterize a new synchronization phenomenon termed "scalable synchronization cluster."

Main Methods:

  • Theoretical analysis using eigenvector-based methods.
  • Investigation of transient dynamics under random perturbations.

Main Results:

  • A subset of oscillators can synchronize into a cluster even in asymmetric networks.
  • The synchronized cluster expands by sequentially recruiting desynchronized oscillators with increasing coupling strength.
  • Eigenvector properties of the network coupling matrix explain the scalability of the synchronization cluster.

Conclusions:

  • The study reveals a novel "scalable synchronization cluster" phenomenon in chaotic oscillator networks.
  • The findings highlight the hierarchical nature of oscillator stabilization during recovery from perturbations.
  • This research provides insights for designing real-world networks exhibiting scalable synchronization behaviors.