Moroccan Journal of Condensed Matter, Vol 2 (1999)

Phase Space Topology and Bifurcation of Liouville Torii in the Goryatchev-Tchaplygin Top

A. OUAZZANI-T-H, J. KHARBACH, M. OUAZZANI-JAMIL

Abstract


The classical problem of a rigid body with a fixed point is considered in the case of Goryatchev-Tchaplygin. We give a complete description of its real phase space topology. All generic bifurcation of Liouville Torii is determined theoretically and numerically. We give also explicit periodic solutions of the problem.