SURNAME: Sumbatov

FIRST NAME: Alexander

SECOND NAME: Sumbatovich

PLACE AND DATE OF BIRTH: Moscow, 20 January 1946

CITIZENSHIP: Russian Federation

EDUCATION: Mechanics 1969, post-graduate 1972, Department of Mechanics of the Mechanical-Mathematical Faculty, the Lomonosov Moscow State University

DEGREE: PhD, October 1972, Mechanical-Mathematical Faculty and Department of Mechanics, the Lomonosov Moscow State University

POSITION: Senior Scientific Researcher, Sector of the Theory of Stability and Mechanics of the Controlled Systems,
Department of Mechanics of the A.A.Dorodnitsyn Computing Centre, Russian Academy of Sciences, Moscow, RUSSIA

TEL: +7(499)135-35-90

FAX: +7(499)135-61-59

E-MAIL: sumbatow(at)


SCIENTIFIC INTERESTS: Rigid Bodies Dynamics, Nonholonomic Systems, Geometrical Applications in Analytical Mechanics, Dry (Coulomb) Friction, Symbolic and Numerical Modeling in Mechanics, History of Mechanics


23. On stationary motions of the constrained three bodies in the state of weightlessness // J. Appl. Math. Mech. (PMM), Vol.75, No.2, (2011), 239-246.

22. Dynamics of a rigid body that touches a supporting surface with a point at presence of dry friction // In Coll. Papers "Problems of the Theory of Stability and of Analytical Mechanics". Moscow: FIZMATLIT, 2009. Pp. 127-135.

21. Leslie's model for the description of a predator-prey system with a refuge for the prey // In Coll. Papers "Research Problems of Stability and Stabilization of Motion". Moscow: Computing Centre of RAS, 2006. Pp.44-47.

20. Nonholonomic systems // Reg. & Chaot. Dyn., 2002. V.7, No.2, p.221-238. pdf, 0.5 MB

19. Formula for reactions of ideal constraints // Appl. Math. Mech. (PMM), Vol.66, No.6, (2002).

18. Essays on Friction. Moscow: Computing Centre of RAS, 2000. 141 p.(with Yunin Ye.K.).

17. Analytical Mechanics // In book "Development of General Mechanics in Russia and Ukraine during the 20-80th years of the XX-th century".
Moscow: Nauka & Kyiv: Phoenix, 1998. pp.8-38 (with Rumyantsev V.V.).

16. On integration of the Hamilton-Jacobi equation by means of method of separation variables // In Coll. Papers "Actual Problems of Classic and Celestial Mechanics". M.: TOO "El'f" Ltd, 1998.pp.138-145.

15. On Poshekhonov's pendulum // J. Appl. Math. Mech. (PMM), Vol.60, No.3, (1996), 407-411. pdf, 234 KB

14. Conditions for the onset of sliding in a plain system with friction // J. Appl. Math. Mech. (PMM), Vol.59, No.6, (1995), Pp.845-852.

13. On the limit motions of systems with dry friction // J. Appl. Math. Mech. (PMM), Vol.57, No.1 (1993), 11-19.

12. Developments of some Lagrange's ideas in the works of Russian and Soviet mechanicians // Seminario "La Mecanique Analytique de Lagrange et son Heritage" (Torino, 26-28 Ottobre 1989),
Atti Acc. sc. Torino, Classe di Scienze Fisiche, Matematiche e Naturali, Suppl. n.2 al vol.126 (1992), Pp.169-200.

11. Integrals linear with respect to velocities. Generalizations of the Jacobi theorem // In: Applied Mechanics Soviet Reviews. vol.1: Stability and Analytical Mechanics. Hemisphere Publ.Co.: NY etc., 1990, XVII-XVIII, Pp.327-392.

10. On principle of virtual displacements // In coll. sc.-methodological papers on Theor. and Appl. Mech. M.: Vysshaya Shkola, 1987. No.18. Pp.35-41. djvu, 216 KB

9. On homogeneous linear invariant relations // J. Appl. Math. Mech. (PMM), Vol.50, No.1 (1986).

8. Non-extremeness of families of curves defined with the dynamical equations of the Chaplygin nonholonomic systems // Diff. Eqs. (DU), Vol.20, No.5 (1984). pdf, 1.3 MB

7. On hidden ignorable coordinates of conservative holonomic systems with three degrees of freedom // In Proc. IUTAM-ISIMM Symposium on Modern Developments in Analyt. Mech. (Torino, June 7-11, 1982), vol.2, Torino, 1983, Pp.817-819. pdf, 308 KB

6. On linear integrals of the Chaplygin equations // J. Appl. Math. Mech. (PMM), Vol.45, No.1 (1981).

5. On the problem of a generalizations of the Hamilton-Jacobi method for non-holonomic systems // Z. Angew. Math. und Mech., 1978, N11, Pp.477-481 (with Rumyantsev V.V.).

4. On the application of certain generalizations of the area theorem in systems with rolling of rigid bodies // J. Appl. Math. Mech. (PMM), Vol.40, No.1 (1976).

3. Analysis of the stability of a low-frequency parametric generator // Radiotekhnika, 1976. Vol.31. No.7. Pp.103-105. (with Gostkin B.K.).

2. On reduction of differential equatons on Nonholonomic Mechanics to the Lagrange form // J. Appl. Math. Mech. (PMM), Vol.36, No.1 (1972).

1. On the Hamilton principle for nonholonomic systems // Bull.of Moscow State University. Mathematics, Mechanics. 1970. No.1.


3. Five Economical-Mathematical Olympiads of the Odintsovo Humanitarian University. M.: Orgservice-2000. 2009. 44 p. (with Boykov V.A., Samokhvalova J.V. and Khvorostianov A.S.). pdf, 0.7 MB

2. Complex Numbers and Basic Theorem of Algebra (abstract of lecture) // In Coll. Papers "Help for a student while he is preparing for examinations on mathematical disciplines". Odintsovo Humanitarian University Ed. M.: Orgservice-2000. 2008. Pp.85-108.

1. Let Us Write Test on Mathematics (handbook for entering the Russian High Schools and preparing to pass Uniform Graduation Examinations). M.: Maroceika. 2007. 96 p.