Unknown

Dataset Information

0

Effect of correlations on network controllability.


ABSTRACT: A dynamical system is controllable if by imposing appropriate external signals on a subset of its nodes, it can be driven from any initial state to any desired state in finite time. Here we study the impact of various network characteristics on the minimal number of driver nodes required to control a network. We find that clustering and modularity have no discernible impact, but the symmetries of the underlying matching problem can produce linear, quadratic or no dependence on degree correlation coefficients, depending on the nature of the underlying correlations. The results are supported by numerical simulations and help narrow the observed gap between the predicted and the observed number of driver nodes in real networks.

SUBMITTER: Posfai M 

PROVIDER: S-EPMC3545232 | biostudies-literature | 2013

REPOSITORIES: biostudies-literature

altmetric image

Publications

Effect of correlations on network controllability.

Pósfai Márton M   Liu Yang-Yu YY   Slotine Jean-Jacques JJ   Barabási Albert-László AL  

Scientific reports 20130115


A dynamical system is controllable if by imposing appropriate external signals on a subset of its nodes, it can be driven from any initial state to any desired state in finite time. Here we study the impact of various network characteristics on the minimal number of driver nodes required to control a network. We find that clustering and modularity have no discernible impact, but the symmetries of the underlying matching problem can produce linear, quadratic or no dependence on degree correlation  ...[more]

Similar Datasets

| S-EPMC4827056 | biostudies-other
| S-EPMC5010274 | biostudies-literature
| S-EPMC8100115 | biostudies-literature
| S-EPMC4325315 | biostudies-literature
| S-EPMC10509217 | biostudies-literature
| S-EPMC5811023 | biostudies-literature
| S-EPMC4819195 | biostudies-literature
| S-EPMC8791995 | biostudies-literature
| S-EPMC8744281 | biostudies-literature
| S-EPMC10478273 | biostudies-literature