Avoiding catastrophic failure in correlated networks of networks

Networks in nature do not act in isolation, but instead exchange information and depend on one another to function properly. Theory has shown that connecting random networks may very easily result in abrupt failures. This finding reveals an intriguing paradox7, 8: if natural systems organize in inte...

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Bibliographic Details
Published in:Nature physics 2014-10, Vol.10 (10), p.762-767
Main Authors: Reis, Saulo D. S., Hu, Yanqing, Babino, Andrés, Andrade Jr, José S., Canals, Santiago, Sigman, Mariano, Makse, Hernán A.
Format: Article
Language:English
Subjects:
Brain
Exchange
Failure
Joining
Joints
Nature
Network hubs
Networks
Neural networks
Stability
Studies
Tasks
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Summary:Networks in nature do not act in isolation, but instead exchange information and depend on one another to function properly. Theory has shown that connecting random networks may very easily result in abrupt failures. This finding reveals an intriguing paradox7, 8: if natural systems organize in interconnected networks, how can they be so stable? Here we provide a solution to this conundrum, showing that the stability of a system of networks relies on the relation between the internal structure of a network and its pattern of connections to other networks. Specifically, we demonstrate that if interconnections are provided by network hubs, and the connections between networks are moderately convergent, the system of networks is stable and robust to failure. We test this theoretical prediction on two independent experiments of functional brain networks (in task and resting states), which show that brain networks are connected with a topology that maximizes stability according to the theory.
ISSN:1745-2473
1745-2481
DOI:10.1038/nphys3081