Controlling extreme events on complex networks
Yu-Zhong Chen1, Zi-Gang Huang2, Ying-Cheng Lai3
1School of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, Arizona 85287, USA.
Abstract:
Extreme events, a type of collective behavior in complex networked dynamical systems, often can have catastrophic consequences. To develop effective strategies to control extreme events is of fundamental importance and practical interest. Utilizing transportation dynamics on complex networks as a prototypical setting, we find that making the network "mobile" can effectively suppress extreme events. A striking, resonance-like phenomenon is uncovered, where an optimal degree of mobility exists for which the probability of extreme events is minimized. We derive an analytic theory to understand the mechanism of control at a detailed and quantitative level, and validate the theory numerically. Implications of our finding to current areas such as cybersecurity are discussed.
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