On the function of hamiltonian action for nonholonomic systems and its application to the investigation of stability

For nonholonomic systems, we introduce the notion of the function of Hamiltonian action, with the use of which we investigate the stability of nonholonomic systems in the case where the equilibrium state under consideration is a critical point of the corresponding Lagrangian (Whittaker system).

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Bibliographic Details
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/4740
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal