Computation of the Sets of Stability in Multiparameter Problems

We continue our investigation of stability of the linear Hamiltonian system which describes the dynamics in a gyroscopic problem. The system has four degrees of freedom and constant coeffcients depending on three parameters. We study stability of the system in the case of zero eigenvalues. We obtaine inequalities which effectively isolate the set of stability in the space of parameters. An alternative way of isolation of the set of stability with the innor's technic is considered. The generalization of the problem on the case of four parameters is considered as well.