Controlling Self-Organizing Dynamics on Networks Using Models that Self-Organize
arXiv:1305.1877 · doi:10.1103/PhysRevLett.111.078701
Abstract
Controlling self-organizing systems is challenging because the system responds to the controller. Here we develop a model that captures the essential self-organizing mechanisms of Bak-Tang-Wiesenfeld (BTW) sandpiles on networks, a self-organized critical (SOC) system. This model enables studying a simple control scheme that determines the frequency of cascades and that shapes systemic risk. We show that optimal strategies exist for generic cost functions and that controlling a subcritical system may drive it to criticality. This approach could enable controlling other self-organizing systems.
5 pages main text; 16 pages supplemental material
References in corpus (8)
- Realistic Control of Network Dynamics
- Towards a characterization of behavior-disease models
- Sandpile on Scale-Free Networks
- Spike Avalanches Exhibit Universal Dynamics across the Sleep-Wake Cycle
- Sandpile avalanche dynamics on scale-free networks
- Controlling self-organized criticality in sandpile models
- Controlling self-organized criticality in complex networks
- A dynamical programming approach for controlling the directed abelian Dhar-Ramaswamy model
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