CURRICULUM VITAE & SELECTED PUBLICATIONS

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)ccas.ru

FOREIGN LANGUAGES: English

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

SELECTED PUBLICATIONS

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.

POPULAR PUBLICATIONS

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.