**Alexandre Vladilenovich Karapetyan**

**Born:** 11 May 1950

**Phone:** +7 (095) 135-90-98; +7 (095) 939-36-81

**E-mail:** avkar@th-mech.math.msu.ru; avkar@beta.math.msu.su

**Position:**

Head of Sector of Theory of Stability and Mechanics of Controlled Systems, Department of Mechanics of the Computing Center, Russian Academy of Sciences ,

Professor of the Chair of Theoretical Mechanics, Faculty of Mechanics and Mathematics, Moscow State University

**Degree:** Doctor of Physical-Mathematical
Sciences (Department of Mechanics of the Mechanical-Mathematical Faculty,
Moscow State University, 1983)

**Research Interests:** Stability of Motion,
Bifurcation Theory, Dynamics of Systems with Differential constraints and
systems with friction, Dynamics of Rigid Bodies, Space Dynamics.

**Selected Publications: **(the total number
of publications is over 100)

1. "To the problem of stability of steady motions of nonholonomic systems" J.Appl.Math.Mech.(PMM), 44(1980), 3.

2. "Realization of nonholonomic constraints by viscouse friction and stability of rotation of Celtic stone" J.Appl.Math.Mech. (PMM), 45(1981), 1.

3. "Stability of steady motions of some kind systems" Mechanics of Solid (MTT) (1983), 3.

4. "Hopf's bifurcation in the problem of motion of a heavy rigid body on a rough plane" Mechanics of Solid (MTT) (1985),2.

5. "Stability of steady motion of systems with friction" J.Appl. Math. Mech. (PMM), 51 (1987), 4.

6. "Stability of conservative and dissipative systems" Appl. Mech. Soviet Reviews. 1 (Stability and Anal. Mech.) Hemisphere Publ. Co. new-York (1990) - with V.V.Rumiantsev.

7. "The Routh Theorem and its extensions" Colloq. Math. Soc. Janos Bolyai. 53. Qual. theory of diff. eq. North Holland. Amsterdam (1990).

8. "Qualitative investigation of a top dynamics on a plane with friction" J. Appl. Math. Mech. (PMM), 55 (1991), 4.

9. "Specific features of the application of Routh's theory to systems with differential constraints" J. Appl. Math. Mech. (PMM), 58 (1994), 3.

10. "On Jellet's integral" Probl. of nonlinear analysis (1996), 1.

11. " Bifurcation and stability of the staedy motions and relative equilibria of a rigid body in a central gravitational field" J. Appl. Math. Mech. (PMM), 60 (1996), 3 - with Ye.V.Abrarova.

12. "Steady motion and relative equilibria of mechanical systems with symmetry" J.Appl. Math. Mech. (PMM), 60 (1996), 5 - with S.Ya.Stepanov.

13. "First integrals, invariant sets and bifurcations in dissipative systems" Regular and Chaotic Dynamics 2(1997), 1.

14. "Bifurcation of equilibria of mechanical systems with symmetrical potential" J. Appl. Math. Mech. (PMM), 61 (1997), 1 - with I.I.Naralenkova.

15. "Stability of steady motions" Editorial URSS, Moscow, 1998.

16. "On influence of dissipative and constant forces on type and stability of steady motions of mechanical systems with cyclic coordinates " J. Appl. Math. Mech. (PMM), 62 (1998), 4 - with I.S.Lagutina

17. "On influence of dissipative and constant forces on type and stability of steady motions of the Lagrange top " Mechanics of Solids, 1998, 5 - with I.S.Lagutina

18. "Modern Methods of Analytical Mechanics and their Applications. " Wien - New - York, Springer - Verlag, 1998 - with V.V.Rumyantsev