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On instability of conservative systems with gyroscopic forces

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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.

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Authors
  1. S. P. Sosnyts'kyi
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Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 10, pp. 1422–1428, October, 1997.

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Sosnyts'kyi, S.P. On instability of conservative systems with gyroscopic forces. Ukr Math J 49, 1598–1606 (1997). https://doi.org/10.1007/BF02487444

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  • DOI: https://doi.org/10.1007/BF02487444

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