Exotic equilibria of Harary graphs and a new minimum degree lower bound for synchronization

Handle URI:
http://hdl.handle.net/10754/598276
Title:
Exotic equilibria of Harary graphs and a new minimum degree lower bound for synchronization
Authors:
Canale, Eduardo A.; Monzón, Pablo ( 0000-0001-7924-681X )
Abstract:
© 2015 AIP Publishing LLC. This work is concerned with stability of equilibria in the homogeneous (equal frequencies) Kuramoto model of weakly coupled oscillators. In 2012 [R. Taylor, J. Phys. A: Math. Theor. 45, 1-15 (2012)], a sufficient condition for almost global synchronization was found in terms of the minimum degree-order ratio of the graph. In this work, a new lower bound for this ratio is given. The improvement is achieved by a concrete infinite sequence of regular graphs. Besides, non standard unstable equilibria of the graphs studied in Wiley et al. [Chaos 16, 015103 (2006)] are shown to exist as conjectured in that work.
Citation:
Canale EA, Monzón P (2015) Exotic equilibria of Harary graphs and a new minimum degree lower bound for synchronization. Chaos: An Interdisciplinary Journal of Nonlinear Science 25: 023106. Available: http://dx.doi.org/10.1063/1.4907952.
Publisher:
AIP Publishing
Journal:
Chaos: An Interdisciplinary Journal of Nonlinear Science
Issue Date:
Feb-2015
DOI:
10.1063/1.4907952
PubMed ID:
25725642
Type:
Article
ISSN:
1054-1500; 1089-7682
Sponsors:
This work was partially done during the scientific visit of the first author to the team of Raúl Tempone at KAUST (King Abdullah University of Science and Technology). We want to thank the anonymous referees for their useful comments and suggestions.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorCanale, Eduardo A.en
dc.contributor.authorMonzón, Pabloen
dc.date.accessioned2016-02-25T13:17:50Zen
dc.date.available2016-02-25T13:17:50Zen
dc.date.issued2015-02en
dc.identifier.citationCanale EA, Monzón P (2015) Exotic equilibria of Harary graphs and a new minimum degree lower bound for synchronization. Chaos: An Interdisciplinary Journal of Nonlinear Science 25: 023106. Available: http://dx.doi.org/10.1063/1.4907952.en
dc.identifier.issn1054-1500en
dc.identifier.issn1089-7682en
dc.identifier.pmid25725642en
dc.identifier.doi10.1063/1.4907952en
dc.identifier.urihttp://hdl.handle.net/10754/598276en
dc.description.abstract© 2015 AIP Publishing LLC. This work is concerned with stability of equilibria in the homogeneous (equal frequencies) Kuramoto model of weakly coupled oscillators. In 2012 [R. Taylor, J. Phys. A: Math. Theor. 45, 1-15 (2012)], a sufficient condition for almost global synchronization was found in terms of the minimum degree-order ratio of the graph. In this work, a new lower bound for this ratio is given. The improvement is achieved by a concrete infinite sequence of regular graphs. Besides, non standard unstable equilibria of the graphs studied in Wiley et al. [Chaos 16, 015103 (2006)] are shown to exist as conjectured in that work.en
dc.description.sponsorshipThis work was partially done during the scientific visit of the first author to the team of Raúl Tempone at KAUST (King Abdullah University of Science and Technology). We want to thank the anonymous referees for their useful comments and suggestions.en
dc.publisherAIP Publishingen
dc.titleExotic equilibria of Harary graphs and a new minimum degree lower bound for synchronizationen
dc.typeArticleen
dc.identifier.journalChaos: An Interdisciplinary Journal of Nonlinear Scienceen
dc.contributor.institutionFacultad Politénica, UNA, Asunción, Paraguayen
dc.contributor.institutionSchool of Engineering, UDELAR, Montevideo 11300, Uruguayen

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