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Investigation of gyroscopic systems by means of Lyapunov functions method. (Russian. English summary) Zbl 0989.34044

The stability is examined with respect to generalized velocities of singularly perturbed systems of differential equations that describe the motion of gyroscopic systems. The theory of integral manifolds on singularly perturbed systems is applied to obtain new stability conditions.

MSC:

34D20 Stability of solutions to ordinary differential equations
34C45 Invariant manifolds for ordinary differential equations
34D15 Singular perturbations of ordinary differential equations
70E50 Stability problems in rigid body dynamics
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