topology fo first integrals,
non-holonomic systems,
Poincare map,
asymptotical methods,
normal forms.
Subject:
Theoretical mechanics.
Main publications:
Ya. V. Tatarinov, “Razdelyayuschiesya peremennye i novye topologicheskie yavleniya v golonomnykh i negolonomnykh sistemakh”, Trudy seminara po vektornomu i tenzornomu analizu, XXIII, 1988, 160–174
Ya. V. Tatarinov, “Uravneniya klassicheskoi mekhaniki v novoi forme”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 2003, № 3, 67–76
A. S. Kislyakov, M. M. Makarevich, Ya. V. Tatarinov, “Topologicheskii analiz novogo integriruemogo varianta negolonomnoi zadachi Suslova”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 2007, № 3, 34–41
Ya. V. Tatarinov, “Slozhenie nelineinykh kolebanii s evolyutsiei vblizi mnogooobraziya ustanovivshikhsya dvizhenii obratimykh sistem”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 2007, № 2, 57–64
A. A. Zobova, Ya. V. Tatarinov, “Dinamika ekipazha s rolikonesuschimi kolesami”, Prikladnaya matematika i mekhanika, 73:1 (2009), 13–22
Ya. V. Tatarinov, “Formalism of the relativistic dynamics of several point masses and orbit precession in the “ball–point” problem”, TMF, 166:3 (2011), 425–442; Theoret. and Math. Phys., 166:3 (2011), 369–384
2008
2.
A. A. Zobova, Ya. V. Tatarinov, “Free and controlled motions of an omniwheel vehicle”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2008, no. 6, 61–65
Ya. V. Tatarinov, A. V. Cherkaev, “A formalism of relativistic dynamics of several material points and the single-frequency motion of two gravitating particles”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2007, no. 3, 59–63
Ya. V. Tatarinov, “Composition of nonlinear oscillations with evolution near the manifold of steady motions of reversible and dissipative systems”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2007, no. 2, 57–64
2006
5.
A. S. Kislyakov, M. M. Makarevich, Ya. V. Tatarinov, “Topological analysis of a new integrable version of the nonholonomic Suslov problem”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2006, no. 6, 34–41
2003
6.
Ya. V. Tatarinov, “Equations of classical mechanics in a new form”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2003, no. 3, 67–76
R. M. Bebenin, Ya. V. Tatarinov, “Frequency nondegeneracy in problems of celestial mechanics”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2000, no. 5, 30–35
1990
8.
Ya. V. Tatarinov, “Superposition of nonlinear oscillations with evolution near the equilibrium manifold of reversible systems”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1990, no. 5, 93–95
1989
9.
Ya. V. Tatarinov, “Universal characteristic function and the moving frame method in the dynamics of systems with nonintegrable constraints”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1989, no. 2, 60–66
1986
10.
Ya. V. Tatarinov, “Geometric formalism of classical dynamics. Canonical reformulations of fundamental theorems for configurations with torsion (in particular, nonholonomic)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1986, no. 3, 74–81
1983
11.
Ya. V. Tatarinov, “Geometric formalism of classical dynamics. Canonical primitives”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 4, 85–95
Ya. V. Tatarinov, “Deformations of the manifold of positions, and quadratic integrals of a natural system in classical dynamics”, Uspekhi Mat. Nauk, 35:6(216) (1980), 173–174; Russian Math. Surveys, 35:6 (1980), 109–110
2010
13.
S. V. Bolotin, A. A. Gonchar, S. P. Konovalov, E. F. Mishchenko, Yu. S. Osipov, V. A. Sadovnichii, A. G. Sergeev, Ya. V. Tatarinov, D. V. Treschev, L. D. Faddeev, “Valerii Vasil'evich Kozlov has turned 60 years old”, Uspekhi Mat. Nauk, 65:2(392) (2010), 201–206; Russian Math. Surveys, 65:2 (2010), 389–395
2008
14.
K. E. Yakimova, Ya. V. Tatarinov, D. V. Treschev, A. V. Karapetyan, “D. E. Okhotsimskii: Half a century in MSU”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2008, no. 6, 3–5
V. A. Proshkin, Ya. V. Tatarinov, “Letter to the editors”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, no. 4, 73
1997
16.
V. A. Proshkin, Ya. V. Tatarinov, “On the creative legacy of Vladimir Grigor'evich Demin (1929–1996)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1997, no. 4, 66–69
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