dc.contributor.author
Cândido, Murilo R.
dc.contributor.author
Llibre, Jaume
dc.identifier
https://ddd.uab.cat/record/199371
dc.identifier
urn:10.1142/S021812741850058X
dc.identifier
urn:oai:ddd.uab.cat:199371
dc.identifier
urn:gsduab:4687
dc.identifier
urn:articleid:17936551v28n5p1850058
dc.identifier
urn:scopus_id:85047854501
dc.identifier
urn:wos_id:000433473400006
dc.identifier
urn:oai:egreta.uab.cat:publications/22f748e1-dcf5-4992-9f5c-ed7110ff8404
dc.description.abstract
In this paper, we study the periodic solutions bifurcating from a nonisolated zero-Hopf equilib- rium in a polynomial differential system of degree two in R³. More specifically, we use recent results of averaging theory to improve the conditions for the existence of one or two periodic solutions bifurcating from such a zero-Hopf equilibrium. This new result is applied for studying the periodic solutions of differential systems in R³ having n-scroll chaotic attractors.
dc.format
application/pdf
dc.relation
Ministerio de Economía y Competitividad MTM2016-77278-P
dc.relation
Ministerio de Economía y Competitividad MTM2013-40998-P
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Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568
dc.relation
International journal of bifurcation and chaos in applied sciences and engineering ; Vol. 28, no. 5 (2018), art. 1850058
dc.rights
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dc.rights
https://rightsstatements.org/vocab/InC/1.0/
dc.subject
Averaging theory
dc.subject
Periodic solutions
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Polynomial differential systems
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Zero-Hopf bifurcation
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Zero-Hopf equilibrium
dc.title
Periodic orbits bifurcating from a nonisolated zero-Hopf equilibrium of three-dimensional differential systems revisited
