**Valenitin Vital'yevich Rumyantsev**

**Phone:** +7 (095) 135-90-98

**FAX: **+7 (095) 135-61-59

**E-mail:** vvrum@ccas.ru

**Brief CV**: CV

**Position:**

Member of the Russian Academy of Sciences,

Leading Researcher, Head of Departement of Mechanics of the Computing Centre of Russian Academy of Sciences,

Professor of the Lomonosov Moscow State University,

Editor-in-Chief of the Journal PMM - Journal of Applied Mathematics and Mechanics,

Member of Presidium of the National Committee on Theoretical and Applied Mechanics.

**Awards: **

State Premium of the USSR (1980)

State Premium of the Russian Federation (1996),

Chaplygin Premium of the Academy of Sciences of the USSR (1958),

Alexander von Humboldt Prize (1997-1998),

Honorable professor of the Lomonosov Moscow State University,

**Degree:** Doctor of Physical and Mathematical
Sciences

**Research Interests: **Analytical Mechanics,
Theory of Stability and Stabilisation of Motion, Dynamics of Rigid Bodies
with Cavities containing Liquid, Mathematical Modelisation of non-linear
Phenomena.

**Selected Publications:** (the total number
of publications is more than 170, including 5 books)

1. " Stability of permanent rotations of a heavy rigid body" PMM, 20 (1956), 1.

2. " On stability of control systems" PMM, 20 (1956), 6.

3. "On the problem of a motion of a heavy rigid body around a fixed point" DAN SSSR, 116 (1957), 2.

4. "On motion's stability with respect to a part of variables" Herald of MSU, 1957, 4.

5. "Rotation's stability of a rigid body with ellipsoidal cavity fulfilled by fluid" PMM, 21 (1957), 6.

6. "On motion's stability of a gyroscope in the Cardan's suspension. PMM, 22 (1958), 3; 22 (1958), 4.

7. "The stability of Machaurin ellipsoids of a rotating fluid" J. Appl. Math. Mech. (PMM), 23 (1959), 3.

8. " On equilibrium stability of a rigid body having cavities fulfilled by fluid", DAN SSSR, 124 (1959), 2.

9. "The stability of the rotational motions of a solid body with a liquid cavity" J. Appl. Math. Mech. (PMM), 23 (1959), 6.

10. "A theorem on the stability of motion", J. Appl. Math. Mech. (PMM), 24 (1960), 1.

11. "On rotations stability of a top with a cavity fulfilled by visccous fluid", J. Appl. Math. Mech. (PMM), 24 (1960), 4.

12. "On the stability of motion of gyrostats", J. Appl. Math. Mech. (PMM), 25 (1961), 1; 25 (1961), 4.

13. "On the motion of some systems with non-ideal constraints", Herald of MSU, 1961, 5.

14. "On systems with friction", J.Appl.Math.Mech. (PMM), 25 (1961), 6.

15. "On the stability of stationary motions of rigid bodies with cavities containing fluid", J. Appl. Math. Mech. (PMM), 26 (1962), 6.

16. "On uniform rotations stability of mechanical systems", Izv. AN SSSR, Mech. and Machine-building, 1962, 6.

17. "The problem of the minimum in the question of stability of motion of a solid body with a liquid-filled cavity", J. Appl. Math. Mech., 27 (1963), 1 (co-author G.K.Pozharitskii).

18. "Lyapunov's methods in the investigation of motion's stability of a rigid bodies with a liquid-filled cavities", Izv. AN SSSR. Mech. and Mashine-building, 1963, 6.

19. " Stability of motion of solid bodies with liquid-filled cavities by Lyapunov's methods". In: Advanced in Appl. Mech., Academic Press, New York - London, YIII, 1964.

20. "On the stability of motion of a rigid body containing a fluid possessing surface tension", J. Appl. Math. Mech., 28 (1964), 4.

21. "The stability of gyroscopes, gyrostats and gyroscopical systems". Nauka, Transactions of II All-Union Congress, 1965, 2 (co-author V.N.Skimel).

22. "The dynamics of body with cavities containing fluid", Moscow, Nauka, 1965, 439 p. (co-author N.N.Moiseyev).

23. "On the theory of motion of rigid bodies with fluid-filled cavities", J. Appl. Math. Mech., 30 (1966), 1.

24. "On the stability of steady motions", J.Appl. Math. Mech., 30 (1966), 5.

25. "On steady motions and their stability", DAN SSSR, 171 (1966), 4.

26. "On stability of motion of nonholonomic systems", J. Appl. Math. Mech., 31 (1967), 2.

27. "On steady motion's stability of a sputnik with rotor and liquid-filled cavity", Cosmic Investigations, Y (1967), 2.

28. "Stability of steady motions of satellites", Publ. House of the Computer Centre AN SSSR, 1967, 141 p.

29. "On kinetic energy's theorem", Herald of MSU, 1967, 3.

30. "On problem of steady motions stability of sputnik", Cosmic Investigations, YI (1968), 3.

31. "On the stability of steady-state motions", J. Appl. Math. Mech., 32 (1968), 3.

32. "On stability of relative equilibriums and steady motions of satellite-gyrostat", Engineering J. Mechanics of Solids, 1968, 4.

33. " On steady motion's stability of free systems", Cosmic Investigations, YI (1968), 5.

34. "Method of Lyapunov's functions in the stability of motion". In: Mechanics in USSR for 50 years, Nauka, 1968, 1.

35. "Dynamic stability of bodies containing fluid", Springer Verlag, 1968, 345 p. (co-author N.N.Moiseyev).

36. "Question on motion's stability of rigid bodies with liquid filling", In: Problems of Hydrodynamics and Mechanics of Continuous Mech., Nauka, 1969, 447 p.

37. "On the motion and stability of an elastic body with a cavity containing fluid", J. Appl. Math. Mech., 33 (1969), 6.

38. "On control of attitude and on stabilization of satellite by rotors", Herald of MSU, 1970, 2.

39. " On the optimal stabilization of controlled systems" J. Appl. Math. Mech., 34 (1970), 3.

40. "On asymptotic stability and instability of motion with respect to a part of the variables", J. Appl. Math. Mech., 35 (1971), 1.

41. "On the stability with respect to a part of the variables" Atti Convergno di Mecanica Razionale Symposia Mathematica, Monograf, YI, 1971, 243 p.

42. "Some problems of the dynamics of complex systems", Problems of Appl. Maths. Mechs., Nauka, 1971.

43. "The method of Lyapunov functions in the stability problem for motion with respect to a part of variables", J. Appl. Maths. Mechs., 36 (1972), 2 (co-author A.S.Osiraner)

44. "On control and stabilization of systems with ignorable coordinates", J. Appl. Maths. Mechs., 36 (1972), 6.

45. "Dynamics and stability of rigid bodies" I Ciclo, 1971, Bressanane. Stereodynamics, Roma, Ediziono Cremonese, 1972, 167 p.

46. "Some problems on motion's stability of rigid and elastic bodies with liquid filling" Proceedings of Symposium on continuum mechanics and related problems of analysis, Tbilisi, Mezniereba, 1 (1973).

47. "On the bifurcation and stability of steady-state motions of complex mechanical systems", J.Appl.Maths. Mechs., 37 (1973), 3. (co-author V.M.Morozov, V.N.Rubanovskii, V.A.Samsonov).

48. "On Chetaev's principle", DAN SSSR, 210 (1973), 4.

49. "On some variational principles in mechanics of continuous media", J. Appl. Maths. Mechs., 37 (1973), 6.

50. "On stability of attitude of symmetrical sputnik in point of libration", Izv. AN SSSR, Mechanics of Solids, 2 (1974).

51. "On stability of attitude of sputnik-gyrostat in equilibriums position in points of libration". Selected Problems of Appl. Mechanics, Moscow, VINITI, 1974.

52. "On compatibility of two basic principles of dynamics and on Chetaev's principle". Problems of analytical mechanics, Theories of stability and stabilization, Moscow, Nauka, 1976, 258 p.

53. "Two problems of motion's stability", Izv. AN SSSR, Mechanics of Solids, 1975, 5.

54. "On influence of gyroscopical forces on stability of steady-state motions", J. Appl. Maths. Mechs, 39 (1975), 6.

55. "On compatibility of differential principles of mechanics". Aerodynamics and Gasodynamics, Moscow, Nauka, 1976.

56. "The motion's stability of nonholonomic systems", Publ. House VINITI, Itogi nauki, General mechanics, 3 (1976) (co-author A.V.Karapetyan).

57. "On stability of systems with generalized potential of forces", Herald MSU, Ser. Math. and Mech., 1977, 5.

58. "Variational principles of classical mechanics" Mathematical Encyclopaedia, Moscow, Sov. Encyclop., 1 (1977).

59. "On the motion of controllable mechanical systems", J. Appl. Maths. Mechs., 40 (1978), 3.

60. "On Hamiltons principle for nonholonomic systems", J. Appl. Maths. Mechs., 42 (1978), 3.

61. "On the problem of a generalization of the Hamilton-Jacobi method for nonholonomic systems", ZAMM, 58 (1978), 11. (co-author A.S.Sumbatov).

62. "On some variational principles of mechanics". Modern problems of Theor. and Appl. Mechanics. Proceedings of IY All-Union Congress of Theor. and Appl. Mechanics, Kiev, Naukova dumka, 1978, 74 p.

63. "Oscillations and stability of solid bodies containing fluid". Vibrations in technics, Publ. House Mashine-building, 2 (1979), XI (co-author V.N.Rubanovskii, S.Ya.Stepanov).

64. "On the influence of gyoscopic and dissipative forces on the stability of steady-state motion", Rend. semin. math. Univ. e Politech. Torino, 37 (1979), 2.

65. "On motion's stability of complex mechanical systems", Uspekhi mekhaniki, Warszawa, 2 (1979), 2 (co-author V.N.Rubanovskii).

66. "On dynamics and stability of gyrostats", Uspekhi mechaniki, Warszawa, 2 (1979), 3 (co-author A.A.Anchev).

67. "On the Lagrange and Jacobi principles for nonholonomic systems", J. Appl. Maths. Mechs., 43 (1979), 4.

68. "On rotation's stability of a heavy gyrostat on the horizontal plane", Izv. AN SSSR, Mechanics of Solids, 1980, 4.

69. "On development of optique-mechanical analogy in the N.G.Chetaev's works", Motion's stability analytical mechanics. Motion's control, Moscow, Nauka, 1981.

70. "On stability of motions of conservative systems", Colloquia Math. Societatis Janos Bolyai, Holland Publ. Co, 2 (1981).

71. "Certain variational principles of mechanics", Advances in Theor. and Appl. Mechanics, Moscow, Mir Publishers, 1981.

72. "On integral principles for nonholonomic systems", J. Appl. Maths. Mechs., 46 (1982), 1.

73. "On stability problem of a top", Rend. Sem. Math. Univ. Padova, 68 (1982).

74. "On some nonlinear problems of analytical mechanics and theory of stability", Nonlinear Phenomena in Mathematical Sciences, New-York, Academic Press, 1982.

75. "On stability's problem of complex mechanical systems", Problems of Mathematics and Mechanics, Novosibirsk, Nauka, 1983.

76. "Stability of conservative and dissipative systems". Itogi nauki i techniki, General mechanics, VINITI, 1983, 6, 132 p. (co-author A.V.Karapetyan).

77. "On some problems of analytical dynamics of nonholonomic systems". Proceedings of the IUTAM-ISINN Symposium: Modern Developments in Analytical Mechanics, 11, Atti della Academia delle Science di Torino, 117 (1983).

78. "On dynamics of rigid body suspended on a string", Izv. AN SSSR, Mechanics of Solids, 1983, 4.

79. "On development of investigations in SSSR on stability theory", Differential equations, 19 (1983), 5.

80. "On dynamics of Lagrangian reonomic systems with constraints", J. Appl. Maths. Mechs, 48 (1984), 4.

81. "On stability and oscillations of nonholonomic systems". IX International Conference on Nonlinear Oscillations, Kiev, Naukova Dumka, 1984, 2.

82. "On principal laws and variational principles of classical mechanics", Inst. for Problem of Mechanics, Computing Centre of the Acad. of Sciences of the SSSR, Preprint 257, 1985.

83. "On steady state motion's stability of symmetrical rigid body suspended on a string", Izv. AN SSSR, Mechanics of Solids, 1985, 5 (co-author V.N.Rubanovskii).

84. "On the stability of the steady-state motions of systems with quasicyclic coordinates", J.Appl. Maths. Mechs., 30 (1986), 6.

85. "The bifurcation and stability of steady state motion of symmetrical body suspended on a string", Problems of Appl. Math. and Informatique" Moscow, Nauka, 1987 (co-author V.N.Rubanovskii).

86. "Stability and stabilization of motion with respect to a part of the variables". Moscow, Nauka, 1987, 253 p. (co-author A.S.Osiraner).

87. "On principal laws of the classical mechanics". Mechanics and Science-Technical Progress, Moscow, Nauka, 1 (1987).

88. "Parametric examination of dynamical nonholonomic systems and two problems of dynamics". Colloquia Math. Societatis J.Bolyai, North-Holland Publ Co, 2 (1987).

89. "Leonard Euler and variational principles of mechanics". Development Leonard Euler's Ideas and Modern Science, Moscow, Nauka, 1988.

90. "On "Analytical Mechanics" of Lagrange", Inst. for Problems of Mechanics. Preprint 421, 1989.

91. "Inversion of Lagrange's theorem for a rigid body with a cavity containing an ideal liquid", J. Appl. Maths. Mechs., 53 (1989), 4 (co-author V.A.Vladimirov).

92. "Inversion of Lagrange's theorem for a rigid body with a cavity containing a viscous liquid", J. Appl. Maths. Mechs, 54 (1990), 2 (co-author V.A. Vladimirov).

93. "On variational principles of analytical mechanics". Appl. Mechanics, Proc. of the Intern. Conference on Appl. Mech., Beijing Inter. Acad. Publ., 1 (1989).

94. "On the principal laws of classical mechanics". Mechanical Engineering and Appl. Mechanics, General and Appl. Mechanics, New York, Hemisphere Publ. Co, 1 (1990).

95. "Stability of conservative and dissipative systems". Appl. mechanics Soviet Rewiews, Stability and Anal. Mech., New York, Hemisphere Publ, Co, 1 (1990), 148 p. (co-author A.V.Karapetyan).

96. "On permanent rotation's stability of nonsymmetrical gyroscop with liquid filling", Izv AN SSSR, Mechanics of Solids, 1990, 6.

97. "The stability of the equilibrium of nonholonomic conservative systems", J. Appl. Maths. Mechs., 57 (1993), 6 (co-author S.P.Sosnitskii).

98. "On optimal stabilization of motion with respect to a part of the variables", Tekhnicheskaya Kibernetika, 1993, 1.

99. "On the Poincare-Chetaev's equations", J.Appl. Maths. Mechs., 58 (1994), 3.

100. "On Poincare-Chetaev's equations", Physics-Doklady of the Russian Acad. of Sciences, 39 (1994), 9.

101. "A comparison of the three methods of constraction of Lyapunov's functions", J.Appl. Maths. Mechs, 59 (1995), 5.

102. "General equations of classical dynamics", J. Appl. Maths. Mechs, 60 (1996).