Reversible equivariant Hopf bifurcation

dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorBuzzi, Claudio Aguinaldo
dc.creatorLamb, Jeroen S. W.
dc.date2014-05-20T15:21:36Z
dc.date2016-10-25T17:55:05Z
dc.date2014-05-20T15:21:36Z
dc.date2016-10-25T17:55:05Z
dc.date2005-01-01
dc.date.accessioned2017-04-05T23:32:23Z
dc.date.available2017-04-05T23:32:23Z
dc.identifierArchive For Rational Mechanics and Analysis. New York: Springer, v. 175, n. 1, p. 39-84, 2005.
dc.identifier0003-9527
dc.identifierhttp://hdl.handle.net/11449/32726
dc.identifierhttp://acervodigital.unesp.br/handle/11449/32726
dc.identifier10.1007/s00205-004-0337-2
dc.identifierWOS:000226093200002
dc.identifierhttp://dx.doi.org/10.1007/s00205-004-0337-2
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/877010
dc.descriptionIn this paper we study codimension-one Hopf bifurcation from symmetric equilibrium points in reversible equivariant vector fields. Such bifurcations are characterized by a doubly degenerate pair of purely imaginary eigenvalues of the linearization of the vector field at the equilibrium point. The eigenvalue movements near such a degeneracy typically follow one of three scenarios: splitting (from two pairs of imaginary eigenvalues to a quadruplet on the complex plane), passing (on the imaginary axis), or crossing (a quadruplet crossing the imaginary axis). We give a complete description of the behaviour of reversible periodic orbits in the vicinity of such a bifurcation point. For non-reversible periodic solutions. in the case of Hopf bifurcation with crossing eigenvalues. we obtain a generalization of the equivariant Hopf Theorem.
dc.languageeng
dc.publisherSpringer
dc.relationArchive For Rational Mechanics and Analysis
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.titleReversible equivariant Hopf bifurcation
dc.typeOtro


Este ítem pertenece a la siguiente institución