On the Poincaré-Chetayev equations

Poincaré, 1901, Sur une forme nouvelle des équations de la mécanique, C. R. Acad Sci. Paris, 132, 369 Chetayev, 1927, Sur les équations de Poincaré, C. R. Acad. Sci. Paris, 185, 1577 Chetayev, 1928, Sur les équations de Poincaré, Dokl. Akad. Nauk SSSR, 103 Chetayev, 1941, On Poincaré's equations, Prikl. Mat. Mekh., 5, 253 Chetayev, 1987, Poincaré's equations, 287 Arnol'd, 1989 Marsden, 1992, Lectures on Mechanics, 174 Arnol'd, 1985, Mathematical aspects of classical and celestial mechanics, 3 Markhashov, 1985, On the equations of Poincaré and Poincaré-Chetayev, Prikl. Mat. Mekh., 49, 43 CHAPLYGIN S. A., On a possible generalized theorem of areas with application to the problem of the rolling of spheres. In: Collected Works, Vol. 1. Gostekhizdat, Moscow, pp. 26–56. Bogoyavlenskii, 1961, Cyclic permutations for the generalized integral of areas, Prikl. Mat. Mekh., 25, 774 Holm, 1985, Nonlinear stability of fluid and plasma equilibria, Phys. Repts., 123, 1, 10.1016/0370-1573(85)90028-6 Suslov, 1946 Hamel, 1904, Die Lagrange-Euler Gleichungen der Mechanik, Z. Math, und Phys., 50, 1 Dobronravov, 1948, Analytical dynamics in non-holonomic coordinates, Uchen. Zap Moskov. Gos Univ., Mekhanika, 122, 77 Lur'ye, 1961 Neimark, 1967 Fam, 1967, On the equations of motion of non-holonomic mechanical systems in Poincare-Chetayev variables, Prikl. Mat. Mekh., 31, 253 Fam, 1968, On the equations of motion of non-holonomic mechanical systems in Poincare-Chetayev variables, Prikl. Mat. Mekh., 32, 804 Voronets, 1902, On the equations of motion for non-holonomic systems, Mat. Sbornik, 22, 659