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dc.contributor.author
Bel, Andrea Liliana  
dc.contributor.author
Reartes, Walter  
dc.date.available
2017-12-21T20:04:02Z  
dc.date.issued
2014-06  
dc.identifier.citation
Reartes, Walter; Bel, Andrea Liliana; Isochronous bifurcations in second-order delay differential equations; Texas State University; Electronic Journal of Differential Equations; 2014; 162; 6-2014; 1-12  
dc.identifier.issn
1072-6691  
dc.identifier.uri
http://hdl.handle.net/11336/31285  
dc.description.abstract
In this article we consider a special type of second-order delay differential equations. More precisely, we take an equation of a conservative mechanical system in one dimension with an added term that is a function of the difference between the value of the position at time t minus the position at the delayed time t−τ. For this system, we show that, under certain conditions of non-degeneration and of convergence of the periodic solutions obtained by the Homotopy Analysis Method, bifurcation branches appearing in a neighbourhood of Hopf bifurcation due to the delay are isochronous; i.e., all the emerging cycles have the same frequency.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Texas State University  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Delay Differential Equations  
dc.subject
Hopf Bifurcation  
dc.subject
Isochronous Cycles  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Isochronous bifurcations in second-order delay differential equations  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-12-12T18:45:56Z  
dc.journal.volume
2014  
dc.journal.number
162  
dc.journal.pagination
1-12  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Bel, Andrea Liliana. Universidad Nacional del Sur; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.description.fil
Fil: Reartes, Walter. Universidad Nacional del Sur; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.journal.title
Electronic Journal of Differential Equations  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://ejde.math.txstate.edu/Volumes/2014/162/abstr.html