NONLINEAR STABILITY AND BIFURCATIONS OF AXISYMMETRIC HEAVY (GYROSCOPE

In this paper, the nonlinear stability criteria in the sense of Movchan for the permanent rotations of axisymmetric heavy gyroscopes in the presence of perfect dissipa-tive force are given. The main subdomains of the regions of asympototic stability are given and the bifurcation phenomena are discussed in detail.