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dc.contributor.author
Paccosi, Ruben Gustavo
dc.contributor.author
Figliola, Maria Alejandra
dc.contributor.author
Galan Vioque, Jorge
dc.date.available
2018-02-07T15:35:48Z
dc.date.issued
2014-07
dc.identifier.citation
Paccosi, Ruben Gustavo; Figliola, Maria Alejandra; Galan Vioque, Jorge; A Bifurcation Approach to the Synchronization of Coupled Van der Pol Oscillators; Society for Industrial and Applied Mathematics; Siam Journal On Applied Dynamical Systems; 13; 3; 7-2014; 1152-1167
dc.identifier.issn
1536-0040
dc.identifier.uri
http://hdl.handle.net/11336/35945
dc.description.abstract
We undertake a bifurcation analysis of a velocity coupled system of two classical nonidentical Vander Pol oscillators to understand the appearance and structure of 1:kparameter regions with syn-chronized states as we vary the coupling and the frequency mismatch. These regions include multi-stability of solutions and are formed by classical tongues bordered by curves of limit point bifurcationof periodic orbits with an isola structure and an additional subregion surrounded by curves of torusbifurcations and a curve characterized by a geometrical tangency condition. Symmetry argumentsexplain the difference between the even and oddkcases.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Society for Industrial and Applied Mathematics
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Oscillator Synchronization
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Bifurcation of Periodic Orbits
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Numerical Continuation
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Synchronization Tongues
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Astronomía
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Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
A Bifurcation Approach to the Synchronization of Coupled Van der Pol Oscillators
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-02-06T20:06:57Z
dc.journal.volume
13
dc.journal.number
3
dc.journal.pagination
1152-1167
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Philadelphia
dc.description.fil
Fil: Paccosi, Ruben Gustavo. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina
dc.description.fil
Fil: Figliola, Maria Alejandra. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina
dc.description.fil
Fil: Galan Vioque, Jorge. Universidad de Sevilla; España
dc.journal.title
Siam Journal On Applied Dynamical Systems
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1137/130926602
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://epubs.siam.org/doi/10.1137/130926602
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