On instability of the equilibrium state of nonholonomic systems

• Date: 1999
• Main Authors: Sosnitskii, S. P., Сосницький, С. П.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1999
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4622
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish a criterion of instability for the equilibrium state of nonholonomic systems, in which gyroscopic forces may dominate over potential forces. We show that, similarly to the case of holonomic systems, the evident domination of gyroscopic forces over potential ones is not sufficient to ens...