Anton O. Belyakov

Ph.D., Senior Research Fellow

Institute of Mechanics,
Lomonosov Moscow State University,
Michurinsky pr. 1, 119192 Moscow, Russia

Phone: (7495) 939 2039
Fax: (7495) 939 0165, 939 2065
E-mail: belyakov(at); a_belyakov(at)

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Research interests:

My field of specialization is Stability Theory, Nonlinear Dynamics, Asymptotic Methods, Mechanics of Solids, System Identification, Optimal Control, Economic Growth.


Ph.D., 2014 Economics
Université catholique de Louvain,
Dissertation: Essays on economic dynamics under heterogeneity. (PDF)
Supervisory panel: Julio Dávila (Promoter), Raouf Boucekkine, Carmen Camacho, Vladimir Veliov,
Mathieu Parenti (Chair)
M.A., 2007
(master of arts)
New Economic School,
Thesis: On the Dynamics of People's Unions. (PDF in English, PDF in Russian)
Advisors: acad. V.L. Makarov and Alexei Savvateev
Consultant: Shlomo Weber
C.Sc., 2005
of sciences)
Mathematics and Physics
Lomonosov Moscow State University,
Faculty of Mathematics and Mechanics, Department of Applied Mechanics and Control
Dissertation: Inertia moment measurement of large size bodies by oscillations in elastic support. (PDF)
Advisor: Alexander P. Seyranian
M.Sc., 2000 Applied Mathematics and Physics
Moscow Institute of Physics and Technology, Faculty of Aeromechanics and Flying Engineering
Advisor: Vasily V. Bogdanov
B.Sc., 1998 Applied Mathematics and Physics
Moscow Institute of Physics and Technology, Faculty of Aeromechanics and Flying Engineering

Academic employment:

2004 - present
Research Fellow
Institute of Mechanics, Lomonosov Moscow State University
2009 - present
Project Assistant
Research Unit "Operations Research and Control Systems" (ORCOS)
Institute of Mathematical Methods in Economics, Vienna University of Technology (TUWien)
2008 - 2009
Center for Operations Research and Econometrics (CORE)
Université catholique de Louvain

Book chapters:

  1. A.O. Belyakov and A.P. Seyranian (2012).
    Dynamics of a Pendulum of Variable Length and Similar Problems, Nonlinearity, Bifurcation and Chaos - Theory and Applications, Jan Awrejcewicz and Peter Hagedorn (Ed.), ISBN: 978-953-51-0816-0, InTech. (PDF)

Journal papers:

  1. A.O. Belyakov, J.L. Haunschmied, and V.M. Veliov,
    Heterogeneous consumption in OLG model with horizontal innovations.
    Portuguese Economic Journal 2014, Vol. 13, No. 3, pp. 167-193.
  2. A.O. Belyakov and V.M. Veliov,
    Constant Versus Periodic Fishing: Age Structured Optimal Control Approach.
    Mathematical Modelling of Natural Phenomena 2014, Vol. 9, No. 4, pp. 20-37.
  3. A.O. Belyakov and A.P. Seyranian,
    Homoclinic, subharmonic, and superharmonic bifurcations for a pendulum with periodically varying length.
    Nonlinear Dynamics 2014, Vol. 77, No. 4, pp. 1617-1627.
  4. F.J. Aragón Artacho, A.O. Belyakov, A.L. Dontchev, and M. López,
    Local convergence of quasi-newton methods under metric regularity.
    Computational Optimization and Applications 2014, Vol. 58 No. 1, pp. 225–247.
  5. C. Simon, A.O. Belyakov and G. Feichtinger,
    Minimizing the dependency ratio in a population with below-replacement fertility through immigration.
    Theoretical Population Biology 2012, Vol. 82, No. 3, pp. 158-169.
  6. A.O. Belyakov and A.P. Seyranian,
    Comments on L.D. Akulenko and S.V. Nesterov's paper "The stability of the equilibrium of a pendulum of variable length", Prikl Mat Mekh 2009;73(6); 893-901 [J. Appl. Math. Mech. 2009; 73 (6), 642-647].
    J. Appl. Math. Mech. 2011, Vol. 75, No. 4, pp. 491-491.
  7. Anton O. Belyakov, Tsvetomir Tsachev and Vladimir M. Veliov,
    Optimal Control of Heterogeneous Systems with Endogenous Domain of Heterogeneity.
    Applied Mathematics & Optimization. 2011, Vol. 64, Issue 2, 287-311.
  8. Full size 269Kb A.P. Seyranian and A.O. Belyakov, How to twirl a hula hoop.
    American Journal of Physics. 2011, Vol. 79, Issue 7, pp. 712-715. >>>======>
  9. A.O. Belyakov, On rotational solutions for elliptically excited pendulum.
    Physics Letters A. 2011, Vol. 375, Issue 25, pp. 2524-2530.
  10. A.O. Belyakov, A.P. Seyranian,
    On Nonlinear Dynamics of the Pendulum with Periodically Varying Length,
    Mechanics of Machines, BulKToMM, Vol. 18 (87), No 3, 2010, pp. 21-28,
    (ISSN 0861-9727), arXiv:0910.3802v2 [math-ph]. (PDF)
  11. A.O. Belyakov and A.P. Seyranian, The hula-hoop problem.
    Doklady Physics, Mechanics. 2010, Vol. 55, No. 2, pp. 99-104.
  12. A.O. Belyakov, A.P. Seyranian, and A. Luongo,
    Dynamics of the pendulum with periodically varying length,
    Physica D. 2009, Vol. 238, Issue 16, pp. 1589-1597.
  13. A.P. Seyranian and A.O. Belyakov, Swing dynamics.
    Doklady Physics, Mechanics. 2008, Vol. 53, No. 7, pp. 388-394.
  14. A.O. Belyakov and A.P. Seyranian, Determining the moments of inertia of large bodies from vibrations in elastic suspension.
    Izv. of Russian Academy of Science, Mechanics of Solids. 2008, Vol. 43, No. 2, pp. 205-217.
  15. A.O. Belyakov,
    About mathematical description of the people's association development processes (ethnoses, firms staff etc.).
    Economics and Mathematical Methods. 2007, Vol. 43, No. 2, pp. 118-122.
  16. A.O. Belyakov and L.U. Blazhennova-Mikulich, Identification of inertia matrix of conservative oscillatory system Moscow University Mechanics Bulletin. 2005, Vol. 60, No. 3, pp. 25-28.
  17. A.O. Belyakov, Determination of dynamical parameters of massive bodies by oscillation modes
    Vestnik molodih uchenih, Applied mathematics and mecanics, Sankt-Petersburg, 2003, No. 12, pp. 33-36 (in Russian). (PDF)
  18. A.O. Belyakov, Numerical modeling of measurement process of inertia moments of large bodies by free oscillation method
    Uchenie zapiski TsAGI, 2002, No. 1-2, pp. 129-136 (in Russian).


  1. A.O. Belyakov, Another mechanical model of parametrically excited pendulum and stabilization of its inverted equilibrium position.
    Proceedings of the 8th European Nonlinear Dynamics Conference (ENOC 2014), Vienna, Austria, July 6 - 11, 2014.
    (ISBN: 978-3-200-03433-4) (PDF) (Presentation)
  2. A.O. Belyakov and A.P. Seyranian, Twirling of hula-hoop: new results.
    Proceedings of the 7th European Nonlinear Dynamics Conference (ENOC 2011), Rome, Italy, July 24 - 29, 2011.
    (ISBN: 978-88-906234-2-4) (PDF) (Presentation)
  3. A.O. Belyakov, A.P. Seyranian, and A. Luongo, Regular and chaotic dynamics of the swing.
    6th EUROMECH Nonlinear Dynamics Conference (ENOC 2008), Saint Petersburg, Russia, June, 30 - July, 4 2008. (PDF) (Presentation)
  4. Determination of parameters of non-conservative linear dynamical system via oscillation forms
    Proceedings of young sientiests' conference-contest of Institite of mechanics MSU 2006.
    Moscow State University Press, 2007. P. 67-71. (PDF in Russian)
  5. A.O. Belyakov, Excitation of oscillations by a small limited control force,
    Proceedings of the Physics and Control International Conference (PhysCon), Sankt-Petersburg, P. 212-215. IEEE Press, 2005. (PDF)
  6. A.O. Belyakov, Optimal excitation of oscillations by a limited control force,
    Proceedings of the Physics and Control International Conference (PhysCon), Sankt-Petersburg, Vol. 4, P. 1130-1133. IEEE Press, 2003.

Refereeing for scientific journals:

  1. Journal of Economic Dynamics and Control ISSN: 0165-1889
  2. Nonlinear Dynamics ISSN: 0924-090X (print), 1573-269X (online)
  3. International Journal of Non-Linear Mechanics ISSN: 0020-7462
  4. Theoretical Population Biology ISSN: 0040-5809
  5. International Journal of Computer Mathematics ISSN: 0020-7160 (print), 1029-0265 (online)
  6. Journal of Sound and Vibration ISSN: 0022-460X
  7. Mathematical Problems in Engineering
  8. Shock and Vibration ISSN: 1070-9622
  9. IEEE Transactions on Control Systems Technology ISSN: 1063-6536

Russian list of papers

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