dc.contributor.author
Llibre, Jaume
dc.contributor.author
Valls, Clàudia
dc.identifier
https://ddd.uab.cat/record/145339
dc.identifier
urn:10.1016/j.cnsns.2014.06.041
dc.identifier
urn:oai:ddd.uab.cat:145339
dc.identifier
urn:gsduab:3716
dc.identifier
urn:scopus_id:84908618484
dc.identifier
urn:wos_id:000341358200040
dc.identifier
urn:oai:egreta.uab.cat:publications/78abfd6c-71d8-4542-91b7-0fe3a38f9baf
dc.identifier
urn:articleid:18787274v20p1070
dc.description.abstract
Agraïments: The second author is supported by Portuguese National Funds through FCT - Fundação para a Ciência e a Tecnologia within the project PTDC/MAT/117106/2010 and by PEst-OE/EEI/LA0009/2013 (CAMGSD).
dc.description.abstract
We study the Hopf bifurcation from the equilibrium point at the origin of a generalized Moon-Rand system. We prove that the Hopf bifurcation can produce 8 limit cycles. The main tool for proving these results is the averaging theory of fourth order. The computations are not difficult, but very big and have been done with the help of Mathematica and Mapple.
dc.format
application/pdf
dc.relation
Ministerio de Economía y Competitividad MTM2008-03437
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Ministerio de Economía y Competitividad MTM2013-40998-P
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Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568
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European Commission 316338
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European Commission 318999
dc.relation
Communications in nonlinear science and numerical simulation ; Vol. 20 (2015), p. 1070-1077
dc.rights
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dc.rights
https://rightsstatements.org/vocab/InC/1.0/
dc.subject
Averaging theory
dc.subject
Hopf bifurcation
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Moon-Rand systems
dc.title
Hopf Bifurcation of a generalized Moon-Rand system
