Abstract
In this paper we study the bifurcation of subharmonic tori from branches of symmetric relative equilibria in reversible systems with an additional $S^1$-symmetry. The analysis is based on a detailed study of the Poincaré map, which appears to be generated by a reduced vectorfield on the section. The results are applied to a simple example system, but the bifurcation behaviour described by our theoretical results can also be observed in, for example, the spherical pendulum and the Furuta pendulum.
Information
Digital Object Identifier: 10.2969/aspm/05310371