2017
Том 69
№ 9

All Issues

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

Sosnitskii S. P.

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Abstract

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).

English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 10, pp 1592-1598.

Citation Example: Sosnitskii S. P. On the function of hamiltonian action for nonholonomic systems and its application to the investigation of stability // Ukr. Mat. Zh. - 1999. - 51, № 10. - pp. 1411–1416.

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