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Gauss principle and realization of constraints. (English) Zbl 1229.70040
Summary: 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.

70F25 Nonholonomic systems related to the dynamics of a system of particles
37J60 Nonholonomic dynamical systems
Full Text: DOI
[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. · Zbl 0489.70023
[2] Brendelev, V.N., On Realization of Constraints Nonholonomic Mechanics, J. Appl. Math. Mech., 1981, vol. 45, no. 3, pp. 481–487. · Zbl 0496.70026
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