Recovery time after localized perturbations in complex dynamical networks
نویسندگان
چکیده
منابع مشابه
Localized recovery of complex networks against failure
Resilience of complex networks to failure has been an important issue in network research for decades, and recent studies have begun to focus on the inverse recovery of network functionality through strategically healing missing nodes or edges. However, the effect of network recovery is far from fully understood, and a general theory is still missing. Here we propose and study a general model o...
متن کاملSpontaneous recovery in dynamical networks
Much research has been carried out to explore the structural properties1–10 and vulnerability11–19 of complex networks. Of particular interest are abrupt dynamic events that cause networks to irreversibly fail13–17. However, in many realworld phenomena, such as brain seizures in neuroscience or sudden market crashes in finance, after an inactive period of time a significant part of the damaged ...
متن کاملDynamical Systems to Monitor Complex Networks in Continuous Time
In many settings it is appropriate to treat the evolution of pairwise interactions over continuous time. We show that new Katz-style centrality measures can be derived in this context via solutions to a nonautonomous ODE driven by the network dynamics. This allows us to identify and track, at any resolution, the most influential nodes in terms of broadcasting and receiving information through t...
متن کاملModularity and the Spread of Perturbations in Complex Dynamical Systems
We propose a method to decompose dynamical systems based on the idea that modules constrain the spread of perturbations. We find partitions of system variables that maximize "perturbation modularity," defined as the autocovariance of coarse-grained perturbed trajectories. The measure effectively separates the fast intramodular from the slow intermodular dynamics of perturbation spreading (in th...
متن کاملFailure and recovery in dynamical networks
Failure, damage spread and recovery crucially underlie many spatially embedded networked systems ranging from transportation structures to the human body. Here we study the interplay between spontaneous damage, induced failure and recovery in both embedded and non-embedded networks. In our model the network's components follow three realistic processes that capture these features: (i) spontaneo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: New Journal of Physics
سال: 2017
ISSN: 1367-2630
DOI: 10.1088/1367-2630/aa7fab