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

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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).

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Authors
  1. S. P. Sosnitskii
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Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 10. pp. 1411–1416, October, 1999.

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Sosnitskii, S.P. On the function of hamiltonian action for nonholonomic systems and its application to the investigation of stability. Ukr Math J 51, 1592–1598 (1999). https://doi.org/10.1007/BF02981691

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  • DOI: https://doi.org/10.1007/BF02981691

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