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Related Experiment Video

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Statistical Modelling of Cortical Connectivity Using Non-invasive Electroencephalograms

Statistical Modelling of Cortical Connectivity Using Non-invasive Electroencephalograms

Published on: November 1, 2019

Connectivity-driven coherence in complex networks.

Tiago Pereira¹, Deniz Eroglu², G Baris Bagci²

¹Department of Mathematics, Complexity and Networks Group, Imperial College London, London SW7 2AZ, United Kingdom.

Physical Review Letters

|August 29, 2014

Summary

This summary is machine-generated.

We investigated how to achieve coherence in complex networks. Findings show that network structure and element dynamics precisely control coherence, offering methods for emergent property manipulation.

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Area of Science:

Complex Systems
Network Science
Dynamical Systems

Background:

Understanding emergent properties in complex networks is crucial.
Coherence is a key emergent property in many natural and artificial systems.
The interplay between network structure and individual element dynamics governs system-level behavior.

Purpose of the Study:

To precisely determine the factors influencing the emergence of dynamical coherence in complex networks.
To establish relationships between network connectivity, element dynamics, coupling functions, and overall coherence.
To provide insights into controlling emergent network properties.

Main Methods:

Analysis of mutually coupled nonidentical elements within various network topologies.
Mathematical modeling to derive the dependence of coherence on network parameters.
Simulations on random and locally connected graphs to validate theoretical predictions.

Main Results:

Coherence in random graphs scales proportionally with the mean degree.
In locally connected networks, coherence depends on how mean degree scales with network size.
Introducing a small fraction of random connections significantly enhances coherence in locally connected networks.

Conclusions:

Dynamical coherence is precisely controllable through network connectivity and element dynamics.
Network topology significantly impacts coherence, with different scaling laws for random versus local connections.
Targeted addition of random connections offers a strategy to enhance coherence in otherwise uncoupled systems.