Research interests

• Dynamical systems
• Rigid body dynamics
• Topological and geometrical methods in mechanics
• The qualitative analysis and computer modeling of Hamiltonian systems
• The computer visualization of mechanical systems motions
• Integrability and chaos
• Power geometry for systems of  differential equations

Diplomas

• 1983: Diploma of Donetsk Polytechnical Institute, Computer Technique Faculty
• 1986: Diploma of candidate of  physical and mathematical sciences (Ph.D.)
  The theme of the candidate thesis is
  "Investigation of some classes of motion of the Chaplygin gyroscope"
• 2006: Certificate of senior research worker in  “theoretical mechanics”
• 2009: Diploma of doctor of  physical and mathematical sciences (D.Sc.)
  The theme of the doctor thesis is
  "Invariant manifolds and admissible-velocity sets in the problems of rigid body dynamics"

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Career

Institute of Applied Mathematics and Mechanics of National Academy of Sciences of Ukraine:

• 1983–1986: Graduate student
• 1987–1991: Research worker
• 1991–2009: Senior research worker
• Since 2009: Head of Applied Mechanics Department.

University of Bremen, Germany:

• 1993–1994 – Student of Postdoctoral scholarship “Complex Dynamical Systems”
• 2001 – Visiting research worker, Institute for Theoretical Physics

Publications

1. A special case of the motions of the S.V. Kovalevskaya gyroscope // Rigid Body Mechanics. – 1983. – No. 15. – P. 31-34. (Co-author Kasyanik V.N.)
    
   Zbl 0523.70007 
2. Investigation of one class of motions of the Chaplygin gyroscope // Rigid Body Mechanics. – 1985. – No. 17. – P. 6-9.
    
3. Movable hodograph of the angular velocity in the Goryachev-Chaplygin solution // Rigid Body Mechanics. – 1986. – No. 18. – P.3-9.
    
   Zbl 0595.70005
4. On the fixed hodograph of the angular velocity in the Goryachev-Chaplygin solution // Rigid Body Mechanics. – 1988. – No. 20. – P. 29-34.
    
   MR0955429 (90g:70006); Zbl 0900.70023
5. Characteristic properties of hodographs of the angular velocity in the Goryachev-Chaplygin solution // Rigid Body Mechanics. – 1989. – No. 21. – P. 9-18.
    
   MR1022823 (90j:70011); Zbl 0900.70100
6. Geometric analysis of two-frequency quasiperiodic motions of the Kovalevskaya gyroscope // Rigid Body Mechanics. – 1990. – No. 22. – P. 1-10.
    
   MR1070315 (91f:70006); Zbl 1002.70502
7. New class of motions of the heavy gyrostat // Rep. Acad. Sci. USSR, v. 318, 1(1991), P. 66-68; translation in Sov. Phyz. Dokl., v.36, No 5 (1991), P. 375-376.
    
   MR1122475 (92h:70003); Zbl 0738.70003
    
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8. A case of the integrability of equations of motion of a gyrostat // Rigid Body Mechanics. – 1992. – No. 24. – P. 1-4.
    
   MR1215669 (93m:70007); Zbl 1002.70521
9. Motion of the Kovalevskaya gyroscope under zero area constant value // Rigid Body Mechanics. – 1993. – No. 25. – P. 7-16.
    
   Zbl 1002.70527
10. The bifurcation set of the problem of the motion of a gyrostat subject to the Kovalevskaya conditions // Rigid Body Mechanics. – 1995. – No. 27. – P. 31-35.
     
    Zbl 0921.70004
     
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11. Bifurcation set in the problem of motion of a heavy gyrostat under Kovalevskaya conditions // Rep. Nat. Acad. Sci. Ukraine, 2(1997), P. 60-62.
     
    MR1490465 (98k:70002); Zbl 0939.70005
     
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12. Integral manifolds and topological invariants in one case of gyrostat motions // Rigid Body Mechanics. – 1997. – No. 29. – P. 1-7.
     
    MR1785548 (2004c:70008a); Zbl 1029.70500
     
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13. A moving hodograph of the angular velocity of the S.V. Kovalevskaya solution // Rigid Body Mechanics. – 1998. – No. 26. – P. 1-9.
     
    Zbl 1047.70578
     
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14. The isoenergy surface in the problem of the motion of a rigid body about a fixed point // Rigid Body Mechanics. – 1998. – No. 26. – P. 89-95.
     
    MR1786515 (2004c:70008b); Zbl 1047.70579
15. On meromorphic solutions of the Euler-Poisson equations // Rigid Body Mechanics. – 1999. – No. 28. – P. 1-8.
     
    Zbl 1047.70500 
     
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16. Angular velocity of the Kovalevskaya top. Sophia Kovalevskaya to the 150th anniversary // Regular and Chaotic Dynamics. – 2000. – 5, No. 1. – P. 107-116.
     
    MR1784734 (2004c:70008c); Zbl 0947.70007
     
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17. Invariant sets in the space of the angular velocities of a heavy gyrostat // Rigid Body Mechanics. – 2000. – No. 30. – P. 79-87.
     
    MR1907421 (2004c:70008d); Zbl 1049.70580
     
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18. Analysis of isoenergy surfaces for exact solutions of the problem on motion of a rigid body // Rigid Body Mechanics. – 2001. – No. 31. – P. 18-30. (Co-author Kucher E.Yu.)
     
    MR2142541 (2005m:70032); Zbl 1025.70003 
     
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19. Enveloping surfaces in the problem on motion of a heavy gyrostat // Rigid Body Mechanics. – 2002. – No. 32. – P. 39-49.
     
    MR2140011 (2005k:70011); Zbl 1042.70004
     
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20. Characteristic exponents of periodic solutions of the Euler-Poisson equations // Rigid Body Mechanics. – 2002. – No. 32. – P. 50-59. (Co-author Kucher E.Yu.)
     
    MR2140012 (2005k:70012); Zbl 1048.70002
     
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21. Integral manifolds in the problem of the motion of a heavy rigid body // Rigid Body Mechanics. – 2003. – No. 33. – P. 20-32.
     
    MR2141155 (2005k:70020); Zbl 1120.70312
     
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22. Enveloping surfaces and admissible velocities of heavy rigid bodies // Int. Journal of Bifurcation and Chaos. – 2004. – 14, No. 8 – P. 2525-2553. (Co-authors Richter P.H.)
     
    MR2092971 (2005j:70009); Zbl 1129.70303 
     
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23. Bifurcations of the levels of the first integrals of the problem of the motion of a heavy gyrostat // Rigid Body Mechanics. – 2004. – No. 34. – P. 37-46.
     
    MR2332977 (2008c:70004)
24. Integral manifolds in the problem of the motion of an asymmetric gyrostat about a fixed point // Proceedings of the Institute of Applied Mathematics and Mechanics. – 2005. – 10. – P. 24-31.
     
    MR2353717 (2008g:70006); Zbl 1137.70321
25. Bifurcations of the integral manifolds in the problem on motion of a heavy gyrostat // Nonlinear Dynamics, v.1, 1 (2005), P.33-52.
     
     
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26. On the chaotic motions and the splitting of separatrices of the perturbed Hess motion // Rigid Body Mechanics. – 2005. – No. 35. – P. 19-30. (Co-authors Kovalev A.M., Kirichenko V.V. )
     
    MR2336945 (2008g:70007)
     
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27. Finite solutions of the N. Kowalewski equations // Rigid Body Mechanics. – 2005. – No. 35. – P. 31-37. (Co-author Bruno A.D.)
     
    MR2336946 (2008e:70005) 
     
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28. Simple exact solutions to the N. Kowalewski equations // Doklady Mathematics, v. 74, 1(2006), P. 536-539. (Co-author Bruno A.D.)
     
    MR2350972 (2009g:70007); Zbl 1160.70004
     
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29. Isoenergy surfaces in the problem on motion of a rigid body about a fixed point // Rigid Body Mechanics. – 2006. – No. 36. – P. 3-12.
     
    MR2399975 (2008m:70012)
     
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30. On the reduction of the Euler-Poisson equations // Rigid Body Mechanics. – 2007. – No. 37. – P. 69-84. (Co-authors Kharlamova E.I., Mozalevskaya G.V.)
     
    MR2466893 (2009h:70006)
     
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31. Invariant manifolds and admissible-velocity sets in the problems of rigid body dynamics. – Thesis for a doctor's degree by the speciality "theoretical mechanics". – Donetsk, Institute of Applied Mathematics and Mechanics of NAS of Ukraine. – 2008. – 29 p.
     
     
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32. On the reduction of the equations of motion of a gyrostat // Rigid Body Mechanics. – 2008. – No. 38. – P. 3-19. (Co-authors Kharlamova E.I., Mozalevskaya G.V.)
     
     
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33. On the D.N. Goryachev solution // Rigid Body Mechanics. – 2009. – No. 39. – P. 29-41.
     
     
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34. The pendulum rotations of a heavy gyrostat with variable gyrostatic momentum // Rigid Body Mechanics. – 2009. – No. 39. – P. 42-49. (Co-author Volkova O.S.)
     
     
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35. Poinsot kinematic representation of the motion of a body in the Hess case // Rigid Body Mechanics. – 2010. – No. 40. – P. 12-20.
     
     
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36. Perturbed pendulum-like motions of a rigid body about a fixed point // Rigid Body Mechanics. – 2010. – No. 40. – P. 34-49.
     
     
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37. Integrable case of the motion of a gyrostat subject to the Kovalevskaya conditions/ Chapter 9// Thesis for a doctor's degree. – Donetsk, Institute of Applied Mathematics and Mechanics of NAS of Ukraine. – 2008. – 300 p.
     
     
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