Problems of stability of dynamic systems and computer algebra

This paper presents examples of some problems of stability of motion, for solving which computer algebra systems (CAS) have been used. We have experience of developing and applying problem-oriented systems of symbolic computations and applied software packages in solving problems of dynamics of multi-body systems [1, 2]. The algorithms under consideration are implemented completely or partially with the aid of state-of-the-art CAS. They are intended for inclusion in the package of symbolic computation “Stability” [2].