Zero-Hopf bifurcation in a hyperchaotic Lorenz system

dc.contributor.author
Cid-Montiel, Lorena
dc.contributor.author
Llibre, Jaume
dc.contributor.author
Stoica, Cristina
dc.date.issued
2014
dc.identifier
https://ddd.uab.cat/record/150706
dc.identifier
urn:10.1007/s11071-013-1085-3
dc.identifier
urn:oai:ddd.uab.cat:150706
dc.identifier
urn:gsduab:3601
dc.identifier
urn:scopus_id:84893849001
dc.identifier
urn:wos_id:000330735900013
dc.identifier
urn:oai:egreta.uab.cat:publications/a4aa481e-24c7-48ed-ba46-161715c4947d
dc.identifier
urn:articleid:1573269Xv75p561
dc.description.abstract
We characterize the zero-Hopf bifurcation at the singular points of a parameter co-dimension four hyperchaotic Lorenz system. Using averaging theory, we find sufficient conditions so that at the bifurcation points two periodic solutions emerge and describe the stability of these orbits.
dc.format
application/pdf
dc.language
eng
dc.publisher
dc.relation
Ministerio de Ciencia e Innovación MTM2008-03437
dc.relation
Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
dc.relation
European Commission 316338
dc.relation
European Commission 318999
dc.relation
Nonlinear Dynamics ; Vol. 75 (2014), p. 561-566
dc.rights
open access
dc.rights
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dc.rights
https://rightsstatements.org/vocab/InC/1.0/
dc.subject
Hyperchaotic Lorenz system
dc.subject
Zero-Hopf bifurcation
dc.subject
Periodic orbits
dc.subject
Averaging theory
dc.title
Zero-Hopf bifurcation in a hyperchaotic Lorenz system
dc.type
Article


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