2017
Том 69
№ 6

All Issues

On instability of conservative systems with gyroscopic forces

Sosnitskii S. P.

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Abstract

Theorems on equilibrium instability of conservative systems with gyroscopic forces are proved. The theorems obtained are nonlinear analogs of the Kelvin theorem. The equilibrium instability of the Chaplygin nonholonomic systems is considered.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 10, pp 1598-1606.

Citation Example: Sosnitskii S. P. On instability of conservative systems with gyroscopic forces // Ukr. Mat. Zh. - 1997. - 49, № 10. - pp. 1422–1428.

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