On the Stability of an Equilibrium State of Gyroscopic Coupled Systems
We investigate the stability of an equilibrium state of gyroscopic coupled conservative systems in the case where the force function does not attain a local maximum in this state. We consider the situation where the gyroscopic coupling is weak with respect to a part of coordinates and strong with respect to the other part.
English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 2, pp 311-321.
Citation Example: Sosnitskii S. P. On the Stability of an Equilibrium State of Gyroscopic Coupled Systems // Ukr. Mat. Zh. - 2003. - 55, № 2. - pp. 255-263.