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Regular and Chaotic Dynamics

, Volume 13, Issue 5, pp 431–434 | Cite as

Gauss principle and realization of constraints

  • V. V. Kozlov
Nonholonomic Mechanics

Abstract

The paper generalizes the classical Gauss principle for non-constrained dynamical systems. For large anisotropic external forces of viscous friction our statement transforms into the common Gauss principle for systems with constraints.

Key words

Gauss principle constraints anisotropic friction 

MSC2000 numbers

70F25 37J60 

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References

  1. 1.
    Karapetyan, A.V., On Realization of Nonholonomic Constrains and on Stability of the Celtic Stones, J. Appl. Math. Mech., 1981, vol. 45, no. 1. pp. 45–51.CrossRefGoogle Scholar
  2. 2.
    Brendelev, V.N., On Realization of Constraints Nonholonomic Mechanics, J. Appl. Math. Mech., 1981, vol. 45, no. 3, pp. 481–487.CrossRefMathSciNetGoogle Scholar

Copyright information

© MAIK Nauka 2008

Authors and Affiliations

  1. 1.V.A. Steklov Institute of MathematicsRussian Academy of SciencesMoscowRussia

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