منابع مشابه
Exact controllability of complex networks
Controlling complex networks is of paramount importance in science and engineering. Despite the recent development of structural controllability theory, we continue to lack a framework to control undirected complex networks, especially given link weights. Here we introduce an exact controllability paradigm based on the maximum multiplicity to identify the minimum set of driver nodes required to...
متن کاملExact controllability of multiplex networks
We develop a general framework to analyze the controllability of multiplex networks using multiple-relation networks and multiple-layer networks with interlayer couplings as two classes of prototypical systems. In the former, networks associated with different physical variables share the same set of nodes and in the latter, diffusion processes take place. We find that, for a multiplerelation n...
متن کاملControllability of structural brain networks
Cognitive function is driven by dynamic interactions between large-scale neural circuits or networks, enabling behaviour. However, fundamental principles constraining these dynamic network processes have remained elusive. Here we use tools from control and network theories to offer a mechanistic explanation for how the brain moves between cognitive states drawn from the network organization of ...
متن کاملPhysical controllability of complex networks
A challenging problem in network science is to control complex networks. In existing frameworks of structural or exact controllability, the ability to steer a complex network toward any desired state is measured by the minimum number of required driver nodes. However, if we implement actual control by imposing input signals on the minimum set of driver nodes, an unexpected phenomenon arises: du...
متن کاملMathematical controllability of genomic networks.
S cientists aim to understand, whereas engineers aim to modify and control. In the study by Rajapakse et al. in PNAS (1) these two objectives come together in the context of genomic reorganization during cell differentiation. Cell differentiation, a branch of epigenetics, is a well-analyzed process but one that lacks a mathematical predictive model. Systems biology provides mathematical tools a...
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ژورنال
عنوان ژورنال: Water Resources Research
سال: 2017
ISSN: 0043-1397
DOI: 10.1002/2017wr020861