Examinando por Autor "Nordenfelt, Anders"

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Cyclic motifs as the governing topological factor in time-delayed oscillator networks
(APS, 2014-11-24) Nordenfelt, Anders; Wagemakers, Alexandre; Sanjuán, Miguel A. F.
We identify the relative amount of short cyclic motifs as an important topological factor in networks of time delayed Kuramoto oscillators. The patterns emerging from the cyclic motifs are most clearly distinguishable in the average frequency and the momentary frequency dispersion as a function of the time delay. In particular, the common distinction between bi-directional and unidirectional couplings is shown to have a decisive effect on the network dynamics. We argue that the behavior peculiar to the sparsely connected uni-directional random network can be described essentially as the lack of distinguishable patterns originating from cyclic motifs of any specific length.
Frequency dispersion in the time-delayed Kuramoto model
(American Physical Society, 2014-03-10) Nordenfelt, Anders; Wagemakers, Alexandre; Sanjuán, Miguel A.F.
We study the synchronization and frequency distribution in networks of time-delayed Kuramoto oscillators with identical natural frequency. It is found that a pronounced frequency dispersion occurs in networks with nonidentical degree distributions. The deviation of the average network frequency from its natural frequency, induced by the time delay, is identified as a necessary component for this phenomenon. Altogether this results in states intermediate between perfect synchronization and complete incoherence