FLOW BIFURCATIONS FOR AN SU(1, 1) KICKED TOP IN THE SEMICLASSICAL REPRESENTATION

In the spirit of establishing analogies and differences among systems with SU(1, 1) and SU(2) algebras, we study the motion of an SU(1, 1) k icked top in the semiclassical approximation as given by the coherent states representation. For this sake, we have proposed a Hamiltonian w ith the same algebraic structure as the one studied by Haake et al for the SU(2) case, so as to investigate the modifications undergone by t he phase portrait when changing a compact into a non-compact manifold. Analogously to the problem discussed by Haake et al, we obtain one in volution and the associated symmetry line where fixed points lie; howe ver, in contrast with the SU(2) case, there exists an infinite number of solutions for every set of parameters. When increasing the strength of the kick no new stationary points are born; instead, existing fixe d points simply move towards the vertex of a curve and eventually, two of them merge together and annihilate. No other type of bifurcation i s detected.