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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.

MSC:
70F25 Nonholonomic systems related to the dynamics of a system of particles
37J60 Nonholonomic dynamical systems
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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. · 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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