Shcherbakova, E. S. Investigation of gyroscopic systems by means of Lyapunov functions method. (Russian. English summary) Zbl 0989.34044 Izv., Ross. Akad. Estestv. Nauk, Mat. Mat. Model. Inform. Upr. 3, No. 4, 123-127 (1999). 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. Reviewer: E.Ya.Gorelova (Samara) 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 Keywords:integral manifolds; singular perturbations; gyroscopic systems PDFBibTeX XMLCite \textit{E. S. Shcherbakova}, Izv., Ross. Akad. Estestv. Nauk, Mat. Mat. Model. Inform. Upr. 3, No. 4, 123--127 (1999; Zbl 0989.34044)