{"id":4422,"date":"2022-05-04T09:58:48","date_gmt":"2022-05-04T07:58:48","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/an-introduction-to-the-kuramoto-model-for-synchronization-debota-amadori-universita-de-laquila\/"},"modified":"2022-05-04T09:58:48","modified_gmt":"2022-05-04T07:58:48","slug":"an-introduction-to-the-kuramoto-model-for-synchronization-debota-amadori-universita-de-laquila","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/an-introduction-to-the-kuramoto-model-for-synchronization-debota-amadori-universita-de-laquila\/","title":{"rendered":"An introduction to the Kuramoto model for synchronization &#8211; Debota Amadori (universita&#8217; de L&#8217;Aquila)"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>Sala Seminari (Dip. Matematica).<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<p>We consider the Kuramoto model, originally proposed to describe  a set of N oscillators coupled through their phase, and its  kinetic version obtained in the mean-field limit.  After a review of the basic properties of the discrete system,  we will address some results from the literature about  the large-time behavior of solutions for the kinetic equation.  In the case of identical oscillators, a full description is available ([1]).  For the case of non-identical oscillators, sufficient conditions lead  to the phase concentration (see for instance [2]).  [1] Benedetto, Caglioti, Montemagno. CMS 2015 [2] Ha, Kim, Morales, Park. Preprint 2016<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We consider the Kuramoto model, originally proposed to describe a set of N oscillators coupled through their phase, and its kinetic version obtained in the mean-field limit. After a review of the basic properties of the discrete system, we will&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/an-introduction-to-the-kuramoto-model-for-synchronization-debota-amadori-universita-de-laquila\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-4422","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1491408000,"unipievents_enddate":1491413400,"unipievents_place":"Sala Seminari (Dip. Matematica).","unipievents_externalid":0,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/4422","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents"}],"about":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/types\/unipievents"}],"author":[{"embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/users\/6"}],"version-history":[{"count":0,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/4422\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=4422"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=4422"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=4422"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}