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dc.contributor.author
Bel, Andrea Liliana  
dc.contributor.author
Reartes, Walter  
dc.date.available
2019-05-07T16:16:47Z  
dc.date.issued
2012-05  
dc.identifier.citation
Bel, Andrea Liliana; Reartes, Walter; The homotopy analysis method in bifurcation analysis of delay differential equations; World Scientific; International Journal Of Bifurcation And Chaos; 22; 8; 5-2012; 1230024  
dc.identifier.issn
0218-1274  
dc.identifier.uri
http://hdl.handle.net/11336/75772  
dc.description.abstract
In this paper we apply the homotopy analysis method (HAM) to study the van der Pol equation with a linear delayed feedback. The paper focuses on the calculation of periodic solutions and associated bifurcations, Hopf, double Hopf, NeimarkSacker, etc. In particular, we discuss the behavior of the systems in the neighborhoods of double Hopf points. We demonstrate the applicability of HAM to the analysis of bifurcation and stability.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
World Scientific  
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
Double Hopf Bifurcation  
dc.subject
Homotopy Analysis Method  
dc.subject
Hopf Bifurcation  
dc.subject
Van Der Pol Equation  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
The homotopy analysis method in bifurcation analysis of 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
2019-05-06T18:42:08Z  
dc.journal.volume
22  
dc.journal.number
8  
dc.journal.pagination
1230024  
dc.journal.pais
Singapur  
dc.description.fil
Fil: Bel, Andrea Liliana. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina  
dc.description.fil
Fil: Reartes, Walter. Universidad Nacional del Sur. Departamento de Matemática; Argentina  
dc.journal.title
International Journal Of Bifurcation And Chaos  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1142/S0218127412300248  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S0218127412300248  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.semanticscholar.org/paper/The-homotopy-Analysis-Method-in-bifurcation-of-Bel-Reartes/4b7a4590e1d523ff1a12c7484bcb38002b5e4780  

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