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Analyzing the Size, Shape, and Directionality of Networks of Coupled Astrocytes

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Effective Subnetwork Topology for Synchronizing Interconnected Networks of Coupled Phase Oscillators.

Hideaki Yamamoto¹, Shigeru Kubota², Fabio A Shimizu³

¹Frontier Research Institute for Interdisciplinary Sciences, Tohoku University, Sendai, Japan.

Frontiers in Computational Neuroscience

|April 13, 2018

Summary

Networks of networks (NoNs) synchronize more effectively with heterogeneous subnetwork topology, highlighting the importance of high-degree nodes for coordinated dynamics. This finding is crucial for understanding complex systems like the brain.

Keywords:

Kuramoto model complex networks modular organization phase oscillator synchronization synchrony alignment function

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Fabrication and Testing of Microfluidic Optomechanical Oscillators

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Published on: May 29, 2014

Area of Science:

Complex systems
Network science
Computational neuroscience

Background:

Real-world systems, such as the brain, are often structured as networks of networks (NoNs).
Understanding how network topology influences collective behavior, like synchrony, is crucial for these systems.

Purpose of the Study:

To investigate the impact of subnetwork topology on the global synchrony of heterogeneous phase oscillator networks.
To determine how different coupling strategies affect synchronization in NoNs.

Main Methods:

Utilized the Kuramoto order parameter to quantify the degree of synchrony.
Evaluated synchrony by measuring the minimum coupling strength required to exceed a threshold for the order parameter.
Modeled NoNs with heterogeneous phase oscillators and varying subnetwork degree distributions.

Main Results:

Heterogeneous subnetwork degree distributions in NoNs promote synchrony with weaker interconnections compared to isolated networks.
High-degree nodes play a significant role in achieving global synchrony.
Directly coupling subnetworks with the largest variation in average natural frequencies is effective for synchronizing the entire system.

Conclusions:

Subnetwork topology is a critical factor in determining the coordinated dynamics of NoNs.
The findings offer insights into the topological basis of synchrony in complex systems, including biological networks like the brain.
Optimizing interconnections based on subnetwork topology can enhance global synchrony.