2026-04-13T04:25:29Zhttps://recercat.cat/oai/request

oai:recercat.cat:2445/1482592025-12-04T20:42:13Zcom_2072_1057col_2072_478822col_2072_478914col_2072_478917

00925njm 22002777a 4500 dc Rosell-Tarragó, Gemma author Díaz Guilera, Albert author 2020-01-20T16:37:07Z 2020-01-06 2020-01-20T16:37:08Z Complex networks are essentially heterogeneous not only in the basic properties of the constituent nodes, such as their degree, but also in the effects that these have on the global dynamical properties of the network. Networks of coupled identical phase oscillators are good examples for analyzing these effects, since an overall synchronized state can be considered a reference state. A small variation of intrinsic node parameters may cause the system to move away from synchronization, and a new phase-locked stationary state can be achieved. We propose a measure of phase dispersion that quantifies the functional response of the system to a given local perturbation. As a particular implementation, we propose a variation of the standard Kuramoto model in which the nodes of a complex network interact with their neighboring nodes, by including a node-dependent frustration parameter. The final stationary phase-locked state now depends on the particular frustration parameter at each node and also on the network topology. We exploit this scenario by introducing individual frustration parameters and measuring what their effect on the whole network is, measured in terms of the phase dispersion, which depends only on the topology of the network and on the choice of the particular node that is perturbed. This enables us to define a characteristic of the node, its functionability, that can be computed analytically in terms of the network topology. Finally, we provide a thorough comparison with other centrality measures. Xarxes (Matemàtica) Sincronització Sistemes complexos Nets (Mathematics) Synchronization Complex systems Functionability in complex networks: Leading nodes for the transition from structural to functional networks through remote asynchronization