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Ukrainian Mathematical Journal

, Volume 49, Issue 10, pp 1598–1606 | Cite as

On instability of conservative systems with gyroscopic forces

  • S. P. Sosnyts'kyi
Article

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.

Keywords

Constraint Equation Function Versus Conservative System Nonholonomic System Constraint Factor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • S. P. Sosnyts'kyi

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