Multiple tipping points and optimal repairing in interacting networks.

ABSTRACT: Systems composed of many interacting dynamical networks-such as the human body with its biological networks or the global economic network consisting of regional clusters-often exhibit complicated collective dynamics. Three fundamental processes that are typically present are failure, damage spread and recovery. Here we develop a model for such systems and find a very rich phase diagram that becomes increasingly more complex as the number of interacting networks increases. In the simplest example of two interacting networks we find two critical points, four triple points, ten allowed transitions and two 'forbidden' transitions, as well as complex hysteresis loops. Remarkably, we find that triple points play the dominant role in constructing the optimal repairing strategy in damaged interac

SUBMITTER: Majdandzic A 

PROVIDER: S-EPMC4773515 | biostudies-literature | 2016 Mar

REPOSITORIES: biostudies-literature