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Gauss principle and realization of constraints

  • Nonholonomic Mechanics
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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.

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References

  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.

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  1. V.A. Steklov Institute of Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia

    V. V. Kozlov

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  1. V. V. Kozlov
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Correspondence to V. V. Kozlov.

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Kozlov, V.V. Gauss principle and realization of constraints. Regul. Chaot. Dyn. 13, 431–434 (2008). https://doi.org/10.1134/S1560354708050055

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  • DOI: https://doi.org/10.1134/S1560354708050055

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