Reentrant Synchronization and Pattern Formation in Pacemaker-Entrained Kuramoto Oscillators
| dc.creator | Radicchi, Filippo | |
| dc.creator | Meyer-Ortmanns, Hildegard | |
| dc.date | 2006-08-01 | |
| dc.date.accessioned | 2026-07-07T10:18:54Z | |
| dc.date.available | 2026-07-07T10:18:54Z | |
| dc.description | We study phase entrainment of Kuramoto oscillators under different conditions on the interaction range and the natural frequencies. In the first part the oscillators are entrained by a pacemaker acting like an impurity or a defect. We analytically derive the entrainment frequency for arbitrary interaction range and the entrainment threshold for all-to-all couplings. For intermediate couplings our numerical results show a reentrance of the synchronization transition as a function of the coupling range. The origin of this reentrance can be traced back to the normalization of the coupling strength. In the second part we consider a system of oscillators with an initial gradient in their natural frequencies, extended over a one-dimensional chain or a two-dimensional lattice. Here it is the oscillator with the highest natural frequency that becomes the pacemaker of the ensemble, sending out circular waves in oscillator-phase space. No asymmetric coupling between the oscillators is needed for this dynamical induction of the pacemaker property nor need it be distinguished by a gap in the natural frequency. | |
| dc.description | 9 pages, 13 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0608021 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0608021 | |
| dc.identifier | Phys. Rev. E 74, 026203 (2006) | |
| dc.identifier | doi:10.1103/PhysRevE.74.026203 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174349 | |
| dc.subject | Other Condensed Matter | |
| dc.title | Reentrant Synchronization and Pattern Formation in Pacemaker-Entrained Kuramoto Oscillators | |
| dc.type | text |