Reversible equivariant Hopf bifurcation
dc.contributor.author | Buzzi, Claudio Aguinaldo [UNESP] | |
dc.contributor.author | Lamb, Jeroen S. W. | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.contributor.institution | Univ London Imperial Coll Sci Technol & Med | |
dc.date.accessioned | 2014-05-20T15:21:36Z | |
dc.date.available | 2014-05-20T15:21:36Z | |
dc.date.issued | 2005-01-01 | |
dc.description.abstract | In 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. | en |
dc.description.affiliation | UNESP, IBILCE, BR-15054000 Sao Jose do Rio Preto, Brazil | |
dc.description.affiliation | Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England | |
dc.description.affiliationUnesp | UNESP, IBILCE, BR-15054000 Sao Jose do Rio Preto, Brazil | |
dc.format.extent | 39-84 | |
dc.identifier | http://dx.doi.org/10.1007/s00205-004-0337-2 | |
dc.identifier.citation | Archive For Rational Mechanics and Analysis. New York: Springer, v. 175, n. 1, p. 39-84, 2005. | |
dc.identifier.doi | 10.1007/s00205-004-0337-2 | |
dc.identifier.issn | 0003-9527 | |
dc.identifier.lattes | 6682867760717445 | |
dc.identifier.orcid | 0000-0003-2037-8417 | |
dc.identifier.uri | http://hdl.handle.net/11449/32726 | |
dc.identifier.wos | WOS:000226093200002 | |
dc.language.iso | eng | |
dc.publisher | Springer | |
dc.relation.ispartof | Archive For Rational Mechanics and Analysis | |
dc.relation.ispartofjcr | 2.448 | |
dc.relation.ispartofsjr | 3,930 | |
dc.rights.accessRights | Acesso restrito | |
dc.source | Web of Science | |
dc.title | Reversible equivariant Hopf bifurcation | en |
dc.type | Artigo | |
dcterms.license | http://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0 | |
dcterms.rightsHolder | Springer | |
unesp.author.lattes | 6682867760717445[1] | |
unesp.author.orcid | 0000-0003-2037-8417[1] | |
unesp.author.orcid | 0000-0001-7647-4200[2] | |
unesp.campus | Universidade Estadual Paulista (Unesp), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |
unesp.department | Matemática - IBILCE | pt |
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