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Related Experiment Video

Updated: Jul 6, 2026

Modeling the Functional Network for Spatial Navigation in the Human Brain

Modeling the Functional Network for Spatial Navigation in the Human Brain

Published on: October 13, 2023

Alternating synchronizability of complex clustered networks with regular local structure.

Liang Huang¹, Ying-Cheng Lai, Robert A Gatenby

¹Department of Electrical Engineering, Arizona State University, Tempe, Arizona 85287, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|March 21, 2008

Summary

Network synchronization depends on connectivity. Increasing intracluster links in clustered networks can unexpectedly lead to alternating strong and weak synchronizability, requiring proper tuning of local coupling density.

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Last Updated: Jul 6, 2026

Modeling the Functional Network for Spatial Navigation in the Human Brain

Modeling the Functional Network for Spatial Navigation in the Human Brain

Published on: October 13, 2023

Area of Science:

Complex networks
Network synchronization
Mathematical modeling

Background:

Efficient network synchronization relies on small network distance and homogeneous degree distribution.
Understanding synchronizability in clustered networks is crucial for various applications.

Purpose of the Study:

To investigate the synchronizability of clustered networks with regular subnetworks.
To explain the counterintuitive phenomenon of alternating synchronizability with increasing intracluster link density.

Main Methods:

Analysis of eigenvalues and eigenvectors of the coupling matrix.
Theoretical modeling of clustered network structures.

Main Results:

Increased intracluster link density leads to alternating strong and weak synchronizability.
A theoretical framework explains this phenomenon through coupling matrix properties.

Conclusions:

Local coupling density is a critical, tunable parameter for achieving network synchronization.
The findings have implications for intercellular communication and tissue organization in biological systems.