Matches in SemOpenAlex for { <https://semopenalex.org/work/W2891597458> ?p ?o ?g. }
Showing items 1 to 94 of
94
with 100 items per page.
- W2891597458 endingPage "3278" @default.
- W2891597458 startingPage "3193" @default.
- W2891597458 abstract "We 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 is deprived. 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 of 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 provide the emergence of synchronous dynamics for the singular and regular weighted Kuramoto models." @default.
- W2891597458 created "2018-09-27" @default.
- W2891597458 creator A5000879537 @default.
- W2891597458 creator A5020357282 @default.
- W2891597458 creator A5021783461 @default.
- W2891597458 date "2021-05-28" @default.
- W2891597458 modified "2023-09-27" @default.
- W2891597458 title "Filippov trajectories and clustering in the Kuramoto model with singular couplings" @default.
- W2891597458 cites W111157985 @default.
- W2891597458 cites W1531856058 @default.
- W2891597458 cites W1561704653 @default.
- W2891597458 cites W1933642500 @default.
- W2891597458 cites W1998945032 @default.
- W2891597458 cites W2000652197 @default.
- W2891597458 cites W2027756965 @default.
- W2891597458 cites W2063410775 @default.
- W2891597458 cites W2080970508 @default.
- W2891597458 cites W2109112153 @default.
- W2891597458 cites W2168448159 @default.
- W2891597458 cites W22297218 @default.
- W2891597458 cites W2289825154 @default.
- W2891597458 cites W2329269422 @default.
- W2891597458 cites W2803768511 @default.
- W2891597458 cites W2962784037 @default.
- W2891597458 cites W2963288205 @default.
- W2891597458 cites W79620782 @default.
- W2891597458 doi "https://doi.org/10.4171/jems/1081" @default.
- W2891597458 hasPublicationYear "2021" @default.
- W2891597458 type Work @default.
- W2891597458 sameAs 2891597458 @default.
- W2891597458 citedByCount "3" @default.
- W2891597458 countsByYear W28915974582019 @default.
- W2891597458 countsByYear W28915974582022 @default.
- W2891597458 countsByYear W28915974582023 @default.
- W2891597458 crossrefType "journal-article" @default.
- W2891597458 hasAuthorship W2891597458A5000879537 @default.
- W2891597458 hasAuthorship W2891597458A5020357282 @default.
- W2891597458 hasAuthorship W2891597458A5021783461 @default.
- W2891597458 hasBestOaLocation W28915974581 @default.
- W2891597458 hasConcept C111437709 @default.
- W2891597458 hasConcept C114614502 @default.
- W2891597458 hasConcept C119857082 @default.
- W2891597458 hasConcept C121332964 @default.
- W2891597458 hasConcept C121864883 @default.
- W2891597458 hasConcept C134306372 @default.
- W2891597458 hasConcept C16171025 @default.
- W2891597458 hasConcept C184720557 @default.
- W2891597458 hasConcept C22324862 @default.
- W2891597458 hasConcept C2778562939 @default.
- W2891597458 hasConcept C2780042749 @default.
- W2891597458 hasConcept C33923547 @default.
- W2891597458 hasConcept C41008148 @default.
- W2891597458 hasConcept C50644808 @default.
- W2891597458 hasConcept C70834904 @default.
- W2891597458 hasConceptScore W2891597458C111437709 @default.
- W2891597458 hasConceptScore W2891597458C114614502 @default.
- W2891597458 hasConceptScore W2891597458C119857082 @default.
- W2891597458 hasConceptScore W2891597458C121332964 @default.
- W2891597458 hasConceptScore W2891597458C121864883 @default.
- W2891597458 hasConceptScore W2891597458C134306372 @default.
- W2891597458 hasConceptScore W2891597458C16171025 @default.
- W2891597458 hasConceptScore W2891597458C184720557 @default.
- W2891597458 hasConceptScore W2891597458C22324862 @default.
- W2891597458 hasConceptScore W2891597458C2778562939 @default.
- W2891597458 hasConceptScore W2891597458C2780042749 @default.
- W2891597458 hasConceptScore W2891597458C33923547 @default.
- W2891597458 hasConceptScore W2891597458C41008148 @default.
- W2891597458 hasConceptScore W2891597458C50644808 @default.
- W2891597458 hasConceptScore W2891597458C70834904 @default.
- W2891597458 hasIssue "10" @default.
- W2891597458 hasLocation W28915974581 @default.
- W2891597458 hasLocation W28915974582 @default.
- W2891597458 hasLocation W28915974583 @default.
- W2891597458 hasLocation W28915974584 @default.
- W2891597458 hasLocation W28915974585 @default.
- W2891597458 hasOpenAccess W2891597458 @default.
- W2891597458 hasPrimaryLocation W28915974581 @default.
- W2891597458 hasRelatedWork W1973255597 @default.
- W2891597458 hasRelatedWork W1983011554 @default.
- W2891597458 hasRelatedWork W2013232734 @default.
- W2891597458 hasRelatedWork W2150021166 @default.
- W2891597458 hasRelatedWork W2185885961 @default.
- W2891597458 hasRelatedWork W2222343892 @default.
- W2891597458 hasRelatedWork W2470945791 @default.
- W2891597458 hasRelatedWork W2620732810 @default.
- W2891597458 hasRelatedWork W3104636582 @default.
- W2891597458 hasRelatedWork W4386619781 @default.
- W2891597458 hasVolume "23" @default.
- W2891597458 isParatext "false" @default.
- W2891597458 isRetracted "false" @default.
- W2891597458 magId "2891597458" @default.
- W2891597458 workType "article" @default.