Buzzi, Claudio Aguinaldo [UNESP]Lamb, Jeroen S. W.2014-05-202014-05-202005-01-01Archive For Rational Mechanics and Analysis. New York: Springer, v. 175, n. 1, p. 39-84, 2005.0003-9527http://hdl.handle.net/11449/32726In 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.39-84engArtigo10.1007/s00205-004-0337-2WOS:000226093200002Acesso restrito66828677607174450000-0003-2037-8417