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Controlling percolation with limited resources.

Malte Schröder¹, Nuno A M Araújo^2,3, Didier Sornette⁴

¹Network Dynamics, Max Planck Institute for Dynamics and Self-Organization (MPIDS), 37077 Göttingen, Germany.

Physical Review. E

|January 20, 2018

Summary

Controlling network connectivity, or percolation, is vital for system function. This study reveals an efficient strategy to control percolation even with limited resources, uncovering a discontinuous transition as a side effect.

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Area of Science:

Network science
Complex systems
Control theory

Background:

Connectivity is essential for man-made systems like financial networks, social networks, and infrastructure.
Controlling large-scale connectivity (percolation) is a key research area.
Previous control strategies assumed unlimited resources, which is unrealistic.

Purpose of the Study:

To investigate the effect of limited resources on percolation control strategies.
To derive an efficient intervention strategy for percolation control under resource constraints.
To analyze the implications of optimal control, including unintended side effects.

Main Methods:

Network analysis
Percolation theory
Resource-constrained control strategy derivation

Main Results:

An efficient strategy for controlling percolation with scarce resources was derived.
The study demonstrates that effective control is achievable even with limited resources.
Optimal control resulted in a discontinuous transition, an unintended side effect.

Conclusions:

Limited resources do not preclude effective control of network percolation.
The derived strategy offers a practical approach to managing network connectivity.
Unintended consequences, such as discontinuous transitions, should be considered in control strategies.