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Controlling self-organizing dynamics on networks using models that self-organize.

Pierre-André Noël¹, Charles D Brummitt, Raissa M D'Souza

¹University of California, Davis, California 95616, USA. noel.pierre.andre@gmail.com

Physical Review Letters

|September 3, 2013

Summary

Controlling complex self-organizing systems like Bak-Tang-Wiesenfeld sandpiles is possible. A new model shows optimal control strategies can manage cascade frequency and systemic risk, even driving subcritical systems toward criticality.

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Area of Science:

Complex Systems Science
Network Science
Computational Physics

Background:

Self-organizing systems exhibit complex emergent behaviors.
Controlling these systems is difficult due to their inherent responsiveness.
Bak-Tang-Wiesenfeld (BTW) sandpiles are a key model for self-organized criticality (SOC).

Purpose of the Study:

To develop a controllable model of BTW sandpiles on networks.
To investigate a control scheme for managing cascade frequency and systemic risk.
To explore the potential for controlling other self-organizing systems.

Main Methods:

Modeling the essential self-organizing mechanisms of BTW sandpiles on networks.
Implementing a simple control scheme to influence system dynamics.
Analyzing the impact of control on cascade frequency and system state.

Main Results:

A tractable model for controlling BTW sandpile dynamics was developed.
Optimal control strategies were identified for generic cost functions.
Controlling a subcritical system can effectively drive it towards a critical state.

Conclusions:

It is feasible to control self-organized critical systems like BTW sandpiles.
Control strategies can effectively shape systemic risk by managing cascades.
This modeling approach offers a pathway for controlling diverse self-organizing phenomena.