dc.contributor | Universidade Estadual Paulista (Unesp) | |
dc.contributor | 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.created | 2014-05-20T15:21:36Z | |
dc.date.issued | 2005-01-01 | |
dc.identifier | Archive For Rational Mechanics and Analysis. New York: Springer, v. 175, n. 1, p. 39-84, 2005. | |
dc.identifier | 0003-9527 | |
dc.identifier | http://hdl.handle.net/11449/32726 | |
dc.identifier | 10.1007/s00205-004-0337-2 | |
dc.identifier | WOS:000226093200002 | |
dc.identifier | 6682867760717445 | |
dc.identifier | 0000-0003-2037-8417 | |
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. | |
dc.language | eng | |
dc.publisher | Springer | |
dc.relation | Archive For Rational Mechanics and Analysis | |
dc.relation | 2.448 | |
dc.relation | 3,930 | |
dc.rights | Acesso restrito | |
dc.source | Web of Science | |
dc.title | Reversible equivariant Hopf bifurcation | |
dc.type | Artículos de revistas | |