Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300183067> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W4300183067 abstract "We consider a finite number of coupled oscillators as an adaptation of the Kuramoto model of populations of oscillators. The synchronized solutions are characterized by an integer $m$, the winding number, and a second integer $l$. Synchronized solutions of type ($m$, $l=0$) are all stable, and an explicit perturbative expression for these for large values of the coupling constant $K$ is presented. For low $K$, these solutions appear at certain specific values, each merging with a solution of type ($m$, $l=1$), both these solutions being stable for $K$ close to the relevant value. The ($m$, 0) solution continues to be stable for larger $K$, while the ($m$, 1) solution, on continuation in $K$ becomes unstable and then merges with a new type (with a different $m$ and l) of unstable solution. The ($m$,0) type solutions for large $K$ are in the nature of phase waves traveling round the ring. All the stable synchronized solutions are entrained by an external periodic driving, provided that the driving frequency is sufficiently close to the frequency of the synchronized population. A perturbative approach is outlined for the construction of the entrained solutions. For a given amplitude of driving, there is a certain maximum detuning between the two up to which the entrained solution persists. The question of stability of the entrained solution is addressed. The simplest situation involving three oscillators is investigated in details where the onset of synchronization is seen to occur through a tangent bifurcation at some critical value of $K$. Immediately before the appearance of the first synchronized solution, the system exhibits intermittent chaos with a typical scaling for the duration of the laminar phase. Under a periodic driving with an appropriately limited detuning, there occurs entrainment of the chaotic solution." @default.
- W4300183067 created "2022-10-03" @default.
- W4300183067 creator A5027010110 @default.
- W4300183067 creator A5060449937 @default.
- W4300183067 date "2011-03-25" @default.
- W4300183067 modified "2023-09-30" @default.
- W4300183067 title "Synchronized oscillations on a Kuramoto ring and their entrainment under periodic driving" @default.
- W4300183067 doi "https://doi.org/10.48550/arxiv.1103.4966" @default.
- W4300183067 hasPublicationYear "2011" @default.
- W4300183067 type Work @default.
- W4300183067 citedByCount "0" @default.
- W4300183067 crossrefType "posted-content" @default.
- W4300183067 hasAuthorship W4300183067A5027010110 @default.
- W4300183067 hasAuthorship W4300183067A5060449937 @default.
- W4300183067 hasBestOaLocation W43001830671 @default.
- W4300183067 hasConcept C112972136 @default.
- W4300183067 hasConcept C114614502 @default.
- W4300183067 hasConcept C119857082 @default.
- W4300183067 hasConcept C121332964 @default.
- W4300183067 hasConcept C134306372 @default.
- W4300183067 hasConcept C135343436 @default.
- W4300183067 hasConcept C138187205 @default.
- W4300183067 hasConcept C139992725 @default.
- W4300183067 hasConcept C144024400 @default.
- W4300183067 hasConcept C149923435 @default.
- W4300183067 hasConcept C158622935 @default.
- W4300183067 hasConcept C178790620 @default.
- W4300183067 hasConcept C180205008 @default.
- W4300183067 hasConcept C184720557 @default.
- W4300183067 hasConcept C185592680 @default.
- W4300183067 hasConcept C18903297 @default.
- W4300183067 hasConcept C199360897 @default.
- W4300183067 hasConcept C24890656 @default.
- W4300183067 hasConcept C2524010 @default.
- W4300183067 hasConcept C2777299769 @default.
- W4300183067 hasConcept C2778562939 @default.
- W4300183067 hasConcept C2780042749 @default.
- W4300183067 hasConcept C2780378348 @default.
- W4300183067 hasConcept C2781349735 @default.
- W4300183067 hasConcept C2908647359 @default.
- W4300183067 hasConcept C33923547 @default.
- W4300183067 hasConcept C41008148 @default.
- W4300183067 hasConcept C62520636 @default.
- W4300183067 hasConcept C86803240 @default.
- W4300183067 hasConcept C97137487 @default.
- W4300183067 hasConceptScore W4300183067C112972136 @default.
- W4300183067 hasConceptScore W4300183067C114614502 @default.
- W4300183067 hasConceptScore W4300183067C119857082 @default.
- W4300183067 hasConceptScore W4300183067C121332964 @default.
- W4300183067 hasConceptScore W4300183067C134306372 @default.
- W4300183067 hasConceptScore W4300183067C135343436 @default.
- W4300183067 hasConceptScore W4300183067C138187205 @default.
- W4300183067 hasConceptScore W4300183067C139992725 @default.
- W4300183067 hasConceptScore W4300183067C144024400 @default.
- W4300183067 hasConceptScore W4300183067C149923435 @default.
- W4300183067 hasConceptScore W4300183067C158622935 @default.
- W4300183067 hasConceptScore W4300183067C178790620 @default.
- W4300183067 hasConceptScore W4300183067C180205008 @default.
- W4300183067 hasConceptScore W4300183067C184720557 @default.
- W4300183067 hasConceptScore W4300183067C185592680 @default.
- W4300183067 hasConceptScore W4300183067C18903297 @default.
- W4300183067 hasConceptScore W4300183067C199360897 @default.
- W4300183067 hasConceptScore W4300183067C24890656 @default.
- W4300183067 hasConceptScore W4300183067C2524010 @default.
- W4300183067 hasConceptScore W4300183067C2777299769 @default.
- W4300183067 hasConceptScore W4300183067C2778562939 @default.
- W4300183067 hasConceptScore W4300183067C2780042749 @default.
- W4300183067 hasConceptScore W4300183067C2780378348 @default.
- W4300183067 hasConceptScore W4300183067C2781349735 @default.
- W4300183067 hasConceptScore W4300183067C2908647359 @default.
- W4300183067 hasConceptScore W4300183067C33923547 @default.
- W4300183067 hasConceptScore W4300183067C41008148 @default.
- W4300183067 hasConceptScore W4300183067C62520636 @default.
- W4300183067 hasConceptScore W4300183067C86803240 @default.
- W4300183067 hasConceptScore W4300183067C97137487 @default.
- W4300183067 hasLocation W43001830671 @default.
- W4300183067 hasOpenAccess W4300183067 @default.
- W4300183067 hasPrimaryLocation W43001830671 @default.
- W4300183067 hasRelatedWork W1969473343 @default.
- W4300183067 hasRelatedWork W1977237403 @default.
- W4300183067 hasRelatedWork W2084833892 @default.
- W4300183067 hasRelatedWork W2100199806 @default.
- W4300183067 hasRelatedWork W2169358986 @default.
- W4300183067 hasRelatedWork W2470945791 @default.
- W4300183067 hasRelatedWork W2510911422 @default.
- W4300183067 hasRelatedWork W2963664373 @default.
- W4300183067 hasRelatedWork W2989696745 @default.
- W4300183067 hasRelatedWork W3091952007 @default.
- W4300183067 isParatext "false" @default.
- W4300183067 isRetracted "false" @default.
- W4300183067 workType "article" @default.