Afficher la notice abrégée

dc.contributor.authorPark, Jinyeong
dc.contributor.authorPoyato Sánchez, Jesús David
dc.contributor.authorSoler Vizcaino, Juan Segundo 
dc.date.accessioned2021-07-07T10:35:05Z
dc.date.available2021-07-07T10:35:05Z
dc.date.issued2021
dc.identifier.citationPark, J., Poyato, D., & Soler, J. (2021). Filippov trajectories and clustering in the Kuramoto model with singular couplings. Journal of the European Mathematical Society. DOI: [10.4171/JEMS/1081]es_ES
dc.identifier.urihttp://hdl.handle.net/10481/69591
dc.descriptionThe work of J. Park was supported by the Basic Research Program through the National Research Foundation of Korea (NRF) funded by the MSIT(NRF-2020R1A4A3079066). The work of D. Poyato (D.P.) and J. Soler (J.S.) has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement No. 639638), the MECD (Spain) research grant FPU14/06304 (D.P), the MINECO-Feder (Spain) research grant number RTI2018-098850-B-I00, the Junta de Andalucia (Spain) Projects PY18-RT-2422 & A-FQM-311-UGR18 (D.P., J.S.).es_ES
dc.description.abstractWe study the synchronization of a generalized Kuramoto system in which the coupling weights are determined by the phase differences between oscillators. We employ the fast-learning regime in a Hebbian-like plasticity rule so that the interaction between oscillators is enhanced by the approach of phases. First, we study the well-posedness problem for the singular weighted Kuramoto systems in which the Lipschitz continuity fails to hold. We present the dynamics of the system equipped with singular weights in all the subcritical, critical and supercritical regimes of the singularity. A key fact is that solutions in the most singular cases must be considered in Filippov’s sense. We characterize sticking of phases in the subcritical and critical case and we exhibit a continuation criterion for classical solutions after any collision state in the supercritical regime. Second, we prove that strong solutions to these systems of differential inclusions can be recovered as singular limits of regular weights.We also study the emergence of synchronous dynamics for the singular and regular weighted Kuramoto models.es_ES
dc.description.sponsorshipBasic Research Program through the National Research Foundation of Korea (NRF) - MSIT NRF-2020R1A4A3079066es_ES
dc.description.sponsorshipEuropean Research Council (ERC) 639638es_ES
dc.description.sponsorshipMECD (Spain) FPU14/06304es_ES
dc.description.sponsorshipMINECO-Feder (Spain) RTI2018-098850-B-I00es_ES
dc.description.sponsorshipJunta de Andalucia European Commission PY18-RT-2422 A-FQM-311-UGR18es_ES
dc.language.isoenges_ES
dc.publisherEMS Presses_ES
dc.rightsAtribución 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subjectKuramoto modelses_ES
dc.subjectAdaptive couplinges_ES
dc.subjectSingular interactionses_ES
dc.subjectHebbian learninges_ES
dc.subjectFilippov-type solutionses_ES
dc.subjectClusteringes_ES
dc.subjectFinite-time synchronizationes_ES
dc.subjectStickinges_ES
dc.subjectCucker-Smalees_ES
dc.titleFilippov trajectories and clustering in the Kuramoto model with singular couplingses_ES
dc.typejournal articlees_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/639638es_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.4171/JEMS/1081
dc.type.hasVersionVoRes_ES


Fichier(s) constituant ce document

[PDF]

Ce document figure dans la(les) collection(s) suivante(s)

Afficher la notice abrégée

Atribución 3.0 España
Excepté là où spécifié autrement, la license de ce document est décrite en tant que Atribución 3.0 España