  We examine periodic, spherically symmetric, classical solutions of
SU(2)-Higgs theory in four-dimensional Euclidean space. Classical perturbation
theory is used to construct periodic time-dependent solutions in the
neighborhood of the static sphaleron. The behavior of the action, as a function
of period, changes character depending on the value of the Higgs mass. The
required pattern of bifurcations of solutions as a function of Higgs mass is
examined, and implications for the temperature dependence of the baryon number
violation rate in the Standard Model are discussed.
