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Related Experiment Video

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External Excitation of Neurons Using Electric and Magnetic Fields in One- and Two-dimensional Cultures

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Published on: May 7, 2017

Structural stability of interaction networks against negative external fields.

S Yoon¹, A V Goltsev^1,2, J F F Mendes¹

¹Department of Physics & I3N, University of Aveiro, 3810-193 Aveiro, Portugal.

Physical Review. E

|May 16, 2018

Summary

We studied how networks of interacting agents maintain stability against a negative external field. Structural changes, like k-core organization shifts, can predict network collapse, offering early warning signals.

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Area of Science:

Complex systems
Network science
Statistical physics

Background:

Networks of interacting agents face challenges from external negative fields.
Understanding agent support mechanisms is crucial for network stability.
Network collapse can occur when external fields suppress agent activity.

Purpose of the Study:

To investigate the structural stability of weighted and unweighted networks against negative external fields.
To analyze how agents support each other to counteract field-induced suppression.
To identify early warning signals of critical transitions and network collapse.

Main Methods:

Analysis of weighted and unweighted networks with positive interactions.
Modeling the competition between internal agent interactions and external negative fields.
Developing a method based on k-core organization and corona cluster analysis.

Main Results:

In unweighted networks, stable states correspond to k-cores.
Network topology and weight distribution (especially fat-tailed) significantly impact stability.
A critical structural change, besides critical slowing down, precedes network collapse.

Conclusions:

Network stability is determined by the interplay between agent interactions and external fields.
The identified critical structural change serves as an effective early warning signal for impending collapse.
The developed k-core and corona cluster analysis method accurately characterizes network structural changes.