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Equations of classical mechanics in new form. (Russian, English) Zbl 1101.70305
Vestn. Mosk. Univ., Ser. I 2003, No. 3, 67-76 (2003); translation in Mosc. Univ. Mech. Bull. 58, No. 3, 13-22 (2003).
The author discusses a form of dynamical equations of holonomic and nonholonomic mechanics where almost all terms in the equations are calculated by means of the Poisson bracket. Also the relationship between new equations and the Lagrange, Hamilton, Chaplygin–Vorontsov and other equations is shown.

MSC:
70F20 Holonomic systems related to the dynamics of a system of particles
70F25 Nonholonomic systems related to the dynamics of a system of particles
70H03 Lagrange’s equations
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