dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Montbrió, Ernest |
dc.contributor.author |
Pazó, Diego |
dc.date.accessioned |
2009-12-03T09:08:27Z |
dc.date.available |
2009-12-03T09:08:27Z |
dc.date.created |
2009-09 |
dc.date.issued |
2009-09 |
dc.identifier.uri |
http://hdl.handle.net/2072/42715 |
dc.format.extent |
18 |
dc.format.extent |
274544 bytes |
dc.format.mimetype |
application/pdf |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation.ispartofseries |
Prepublicacions del Centre de Recerca Matemàtica;873 |
dc.rights |
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/) |
dc.subject.other |
Distribucions, Teoria de les (Anàlisi funcional) |
dc.subject.other |
Histèresi |
dc.title |
On the existence of hysteresis in the Kuramoto model with bimodal frequency distributions |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
517 - Anàlisi |
dc.description.abstract |
We investigate the transition to synchronization in the Kuramoto model with bimodal distributions of the natural frequencies. Previous studies have concluded that the model exhibits a hysteretic phase transition if the bimodal distribution is close to a unimodal one, due to the shallowness the central dip. Here we show that proximity to the unimodal-bimodal border
does not necessarily imply hysteresis when the width, but not the depth, of the central dip tends to zero. We draw this conclusion from a detailed study of the Kuramoto model with a suitable family of bimodal distributions. |