Curriculum Vitae of Dr Alexei A. Mailybaev

Address

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

Phone: +7 495 939 2039
Fax: +7 495 939 0165
E-mail: mailybaev
[at]imec.msu.ru
Homepage:
http://mailybaev.imec.msu.ru/

Position: chief researcher

Photo

Scientific Degrees

D.Sc., 2009

Thesis: Multiparameter problems of stability theory
Scientific Advisor:
Prof. Alexander P. Seyranian

Ph.D., 1999

Moscow State Lomonosov University,

Faculty of Mathematics and Mechanics,

Department of Applied Mechanics and Control
Thesis: Singularities of stability domain boundaries: analysis and applications
Supervisor:
Prof. Alexander P. Seyranian

 

M.Sc., 1997, with honors

Moscow State Lomonosov University,
Faculty of Mathematics and Mechanics,

Department of Applied Mechanics and Control
Supervisor:
Prof. Alexander P. Seyranian

 

1990-1992

Kolmogorov College at Moscow State Lomonosov University

Research interests

Mathematics

         stability theory and dynamical systems

         singularities and bifurcations, versal deformations

         computational linear algebra

         nonclassical waves in conservation laws

Physics and Mechanical Engineering

         vibrations, parametric resonance, flutter

         mechanics of  solids, structural optimization

         filtration combustion in porous media

         transition to chaos in dissipative dynamical systems

         degeneracies of energy levels in quantum physics, optical singularities

Scientific collaboration

         Institute of Pure and Applied Mathematics (IMPA), Rio de Janeiro, Brazil

         Engineering Faculty, University of l'Aquila, Italy

         Department of Mathematics, Technical University of Denmark

         Department of Engineering Mechanics, Dalian University of Technology, China

         Polytechnic University of Catalonia, Barcelona, Spain

         Institute of Engineering Mechanics and Systems, University of Tsukuba, Japan

         Saratov State University, Russia

Awards

         Young scientist prize of the EUROMECH Nonlinear Oscillation Conference, Eindhoven, The Netherlands (2005)

         Elsevier Science Publishers Award for the best paper of the year in the Journal of Applied Mathematics and Mechanics (2001)

         Second Prize of the All-Russian Young Scientists Competition on Mechanics and Control dedicated to the 100th Anniversary of A.I. Lurie (2000)

Grants

         Grants of the President of Russian Federation (2004-9)

         INTAS research grant (2007-8)

         Grants of the Russian Foundation of Basic Research (1999-2001, 2003-5)

         CRDF and Russian Federation Ministry of Education BRHE post-doctoral fellowship (2003-6)

         Russian-Chinese research grant RFBR-NSFC (2002-4)

         CNPq grants for visits to the Institute of Pure and Applied Mathematics (IMPA), Rio de Janeiro, Brazil (2001-2008)

         Japan Society for the Promotion of Science (JSPS) Invitation Fellowship for Research in Japan (2003)

         Individual grant of the project Young Scientists of Russia RSCI (2002)

         INTAS Young Scientists Fellowship (2001-2)

         Stipendium of Moscow State Lomonosov University for Talented Young Researchers and Teachers (2001)

         Stipendium of Russian Federation for young talented scientists (2000-2003)

Membership

         The International Society of Structural and Multidisciplinary Optimization ISSMO  (since 1997)

         American Mathematical Society AMS (since 2000)

         International Physics and Control Society IPACS (since 2005)

Conferences

Over 40 presentations at international and national conferences and congresses. Among them:

         EUROMECH Nonlinear Dynamics Conference
2005 Eindhoven, The Netherlands and 2008 St.-Petersburg, Russia

         International Conference Physics and Control
2005 St.-Petersburg, Russia and 2007 Potsdam, Germany

         3rd International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics
2005 Istanbul, Turkey (plenary lecture) and 2005 Cape Town, South Africa

         6th World Congress on Computational Mechanics
2004, Beijing, China

         10th International Conference on Hyperbolic Problems: Theory, Numerics, Applications
2004 Osaka, Japan and 2006 Lyon, France

         4th European Congress of Mathematics
2004, Stockholm, Sweden

         Workshop on Partial Differential Equations: Theory, Computation and Applications
2003 and 2007 Rio de Janeiro, Brazil (invited lecture)

         International Congress of Mathematicians
1998 Berlin, Germany and 2002 Beijing, China

         First MIT Conference on Computational Fluid and Solid Mechanics
2001, Cambridge, USA

         NATO Advanced Research Workshop
2000, Budapest, Hungary

         International Congress of Theoretical and Applied Mechanics
2000 Chicago, USA and 2004 Warsaw, Poland

         3rd European Congress of Mathematics
2000, Barcelona, Spain

         World Congress on Structural and Multidisciplinary Optimisation
1999 Buffalo, USA and 2007 Seoul, South Korea

         7th AIAA/NASA/USAF/ISSMO Symposium on Multidisciplinary Analysis and Structural  Optimisation,
1998, Saint Louis, USA

         2nd International Aerospace Congress
1997, Moscow, Russia

Gave lectures in scientific seminars in Russia, USA, UK, Japan, China, Brazil, Italy, France, Spain, Denmark, Kazakhstan.

Interview to the "Moscow University" newspaper No.19 (3835) 1998 September (in Russian)

Courses given

One-year course Stability and Catastrophes in Mechanical Systems
Moscow State University, Faculty of Mathematics and Mechanics,

Moscow, Russia (during 2001-2005)

Intensive course Lectures on Stability Boundaries
Summer School in the Institute of Pure and Applied Mathematics (IMPA),

Rio de Janeiro, Brazil (2001)

Reviewer activity

Journal of Physics A: Mathematical and General, Linear Algebra and its Applications, International Journal of Solids and Structures, Numerical Linear Algebra with Applications, Computers and Mathematics with Applications, The IMA Journal of Mathematical Control and Information, Journal of Applied Mathematics and Mechanics, Moscow University Mechanics Bulletin, AMS Review
 

List of publications

 

Books

1. A.P. Seyranian and A.A. Mailybaev, Multiparameter Stability Theory with Mechanical Applications, World Scientific, New Jersey, 2004.  Description   Reviews   Order

2. A.A. Mailybaev and A.P. Seyranian, Multiparameter Stability Problems. Theory and Applications in Mechanics, Fizmatlit, Moscow, 2010.

Journal Papers

  1. A.P. Seyranian and A.A. Mailybaev, Vibrational stabilization of statically unstable systems, Doklady Physics 54 (2009), 480-486.

2.      J. Bruining, A.A. Mailybaev and D. Marchesin, Filtration combustion in wet porous medium, SIAM Journal on Applied mathematics 70 (2009), 1157-1177.

3.      A.A. Mailybaev and A.P. Seyranian, Stabilization of statically unstable columns by axial vibration of arbitrary frequency, Journal of Sound and Vibration 328 (2009), 203-212.

4.      A.A. Mailybaev and A.P. Seyranian, Stabilization of statically unstable systems by parametric excitation, Journal of Sound and Vibration 323 (2009), 1016-1031.

  1. A.A. Mailybaev and D. Marchesin, Lax shocks in mixed-type systems of conservation laws, Journal of Hyperbolic Differential Equations 5 (2008), 295-315. (PDF)

6.      A.A. Mailybaev and D. Marchesin, Hyperbolicity singularities in rarefaction waves, Journal of Dynamics and Differential Equations 20 (2008), 1-29. (PDF)

7.      S.P. Kuznestov, A.A. Mailybaev, I.R. Sataev, Birth of a New Class of Period-Doubling Scaling Behavior as a Result of Bifurcation in the Renormalization Equation, Journal of Statistical Physics 130 (2008), 599-616. (PDF)

8.      A.A. Mailybaev and A.P. Seyranian, Bifurcations of equilibria in potential systems at bimodal critical points, Journal of Applied Mechanics 75 (2008), 021016. (PDF)

9.      A.P. Seyranian and A.A. Mailybaev, Bimodal bifurcations of equilibria in symmetric potential systems, Doklady Physics 52 (2007), 600-606.

10.  W. Kliem, A.A. Mailybaev and C. Pommer, Conditions revisited for asymptotic stability of pervasive damped linear systems, Journal of Sound and Vibration 298 (2006), 471474. (PDF)

11.  D. Marchesin and A.A.Mailybaev, Dual-family viscous shock waves in n conservation laws with application to multi-phase flow in porous media, Archive for Rational Mechanics and Analysis 182 (2006), 1-24. (PDF)

12.  A.A. Mailybaev, Computation of multiple eigenvalues and generalized eigenvectors for matrices dependent on parameters, Numerical Linear Algebra with Applications 13 (2006), 419-436. (PDF)

13.  A.A. Mailybaev, O.N. Kirillov and A.P. Seyranian, Berry phase around degeneracies, Doklady Mathematics 73 (2006), 129-133.

14.  O.N. Kirillov, A.A. Mailybaev and A.P. Seyranian, Singularities of energy surfaces under non-Hermitian perturbations, Doklady Physics 50 (2005), 577-582.

15.  S.P. Kuznetsov, A.A.Mailybaev and I.R. Sataev, Bifurcation of universal regimes at the boundary of chaos, Applied Nonlinear Dynamics (Saratov) 13 (2005), No. 3, 27-47 (in Russian).

16.  A.A. Mailybaev, O.N. Kirillov, A.P. Seyranian, Geometric phase around exceptional points, Physical Review A 72 (2005), 014104. (PDF)

17.  O. N. Kirillov, A. A. Mailybaev, and A. P. Seyranian, Unfolding of eigenvalue surfaces near a diabolic point due to a complex perturbation, Journal of Physics A: Mathematical and General 38 (2005), 5531-5546. (PDF)

18.  A.P. Seyranian, O.N. Kirillov and A.A. Mailybaev, Coupling of eigenvalues of complex matrices at diabolic and exceptional points, Journal of Physics A: Mathematical and General 38 (2005), 1723-1740. (PDF)

19.  A.A. Mailybaev, H. Yabuno, and H. Kaneko, Optimal shapes of parametrically excited beams, Structural and Multidisciplinary Optimization 27 (2004), 435-445. (PDF)

20.  A.A. Mailybaev and A.P. Seyranian, Interaction of eigenvalues under variation of parameters, Doklady Mathematics 68 (2003), 466-470.

21.  A.A. Mailybaev, Uncontrollability for linear autonomous multi-input dynamical systems depending on parameters, SIAM Journal on Control and Optimization 42 (2003), 1431-1450. (PDF)

22.  M.I. Garcia-Planas and A.A. Mailybaev, Reduction to versal deformations of matrix pencils and matrix pairs with application to control theory, SIAM Journal on Matrix Analysis and Applications 24 (2003), 943-962. (PDF)

23.  A.P. Seyranian and A.A. Mailybaev, Interaction of eigenvalues in multi-parameter problems, Journal of Sound and Vibration 267 (2003), 1047-1064. (PDF)

24.  A.P. Seyranian and A.A. Mailybaev, Three-dimensional domains of parametric resonance, Proceedings of Steklov Mathematical Institute 236 (2002), 291-304.

25.  A.A. Mailybaev, On stability domains of nonconservative systems under small parametric excitation, Acta Mechanica, 154 (2002), 11-33.

26.  A.A. Mailybaev, Uncontrollability sets of linear systems depending on parameters, Doklady Mathematics 66 (2002), 290-293. 

27.  A.P. Seyranian and A.A. Mailybaev, On stability boundaries of conservative systems, Journal of Applied Mathematics and Physics (ZAMP) 52 (2001), 669-679. (PDF)

28.  A.A. Mailybaev, Evaluation of multiple eigenvalues and Jordan chains of vectors for matrices depending on parameters, Doklady Mathematics 64 (2001), 36-40. (PDF)

29.  A.A. Seyranian and A.A. Mailybaev, Parametric resonance in systems with weak dissipation, Doklady Physics 46 (2001), 434-439.

30.  A.A. Mailybaev, Transformation to versal deformations of matrices, Linear Algebra and its Applications 337 (2001), 87-108. (PDF)

31.  A.A. Mailybaev and A.P. Seyranian, Parametric resonance in systems with small damping, Journal of Applied Mathematics and Mechanics 65 (2001), 755-767. (PDF)

32.  S.S. Grigoryan and A.A. Mailybaev, On the Weierstrass preparation theorem, Mathematical Notes 69 (2001), 170-174. (PDF)

33.  A.A. Mailybaev, Transformation of families of matrices to normal forms and its application to stability theory, SIAM Journal on Matrix Analysis and Applications 21 (2000), 396-417. (PDF)

34.  A.A. Mailybaev and A.P. Seyranian, On Singularities of a Boundary of the Stability Domain, SIAM Journal on Matrix Analysis and Applications 21 (2000), 106-128. (PDF)

35.  A.A. Mailybaev and A.P. Seyranian, On singularities of boundaries for parametric resonance, Doklady Physics 45 (2000), 405-409.

36.  A.A. Mailybaev and A.P. Seyranian, On the boundaries of the parametric resonance domain, Journal of Applied Mathematics and Mechanics 64 (2000), 909-923. (PDF)

37.  A.A. Mailybaev, On stability of polynomials depending on parameters, Journal of Computer and Systems Sciences International 39 (2000), 165-172. (PDF)

38.  A.A. Mailybaev, Transference of instability between branches in non-conservative mechanical systems, Vestnik Molodykh Uchenykh, Series PMM 3 (2000), 70-76 (in Russian).

39.  A.P. Seiranyan and A.A. Mailybaev, On singularities of stability domain boundaries for Hamiltonian and gyroscopic systems, Doklady Physics 44 (1999), 251-255.

40.  A.A. Mailybaev, Transformation of matrix families to normal forms and its application to stability problems, Fundamental and Applied Mathematics 5 (1999), 1111-1133 (in Russian).

41.  A.A. Mailybaev, A method for reducing families of matrices to normal forms, Doklady Mathematics 60 (1999), 39-43.

42.  A.A. Mailybaev and A.P. Seiranyan, On stability domains of Hamiltonian systems, Journal of Applied Mathematics and Mechanics 63 (1999), 545-555. (PDF)

43.  A.A. Mailybaev and A.P. Seiranyan, Singularities of a stability-domain boundary, Doklady Physics 43 (1998), 248-252.

44.  A.A. Mailybaev and A.P. Seiranyan, Singularities of the boundaries of stability domains, Journal of Applied Mathematics and Mechanics 62 (1998), 909-920.

45.  A.A. Mailybaev and A.P. Seiranyan, Aeroelastic stability of a wing with bracing struts (Keldysh problem), Fluid Dynamics 33 (1998), 124-134.

46.  A.A. Mailybaev, On tangent cones to the stability domain of a family of real matrices, Moscow University Mechanics Bulletin 53 (1998), No.6, 20-22.

47.  A.A. Mailybaev and A.P. Seiranyan, The effect of a strut attachment point on aeroelastic stability of a frame right angle, Uchenie zapiski TsAGI 28 (1997), No. 3-4, 171-187 (in Russian).

48.  A.A. Mailybaev and A.P. Seiranyan, The Keldysh problem on aeroelastic stability of a strut-braced wing, Physics-Doklady 41 (1996), 484-487.

Proceedings papers

1.      A.A. Mailybaev and D. Marchesin, Dual-family viscous shock waves in systems of conservation laws: a surprising example, Proceedings of the Conference on Analysis, Modeling and Computation of PDE and Multiphase Flow, Stony Brook, USA, 2004 (to appear).

2.      A.A. Mailybaev, H. Yabuno, and H. Kaneko, Optimal shape of a beam under parametric excitation, Proceedings CDROM of the Sixth World Congress on Computational Mechanics in conjunction with APCOM04, Beijing, Tsinghua University Press & Springer-Verlag, 2004.

3.      A.A. Mailybaev and A.P. Seyranian, Theory of parametric resonance: new results, Transactions of the V.A. Sadovnichy seminar Time, chaos, and mathematical problems, Vol. 3, KDU, Moscow, 2004. P.195-210 (in Russian).

4.      A.A. Mailybaev, Uncontrollability set for multi-input dynamical systems depending on parameters, Proceedings of the Physics and Control International Conference (PhysCon), Sankt-Petersburg, Vol. 4, pp. 1102-1105. IEEE Press, 2003.

5.      A.A. Mailybaev and A.P. Seyranian, Stability boundaries of linear periodic systems, Proceedings of the 1st MIT Conference on Computational Fluid and Solid Mechanics (K.J. Bathe, ed.), Vol. 2, pp. 1613-1616. Amsterdam, Elsevier, 2001.

6.      A.A. Mailybaev and A.P. Seyranian, Singularities of stability boundaries in optimization problems, Proceedings of the 2nd International Conference Strength, Durability and Stability of Materials and Structures (SDSMS99). Panevezys, Lithuania. 1999. P. 282-287.

7.      A.P. Seyranian and A.A. Mailybaev, Multimodal optimal solutions and singularities of stability boundary, Proceedings of the 3rd World Congress of Structural and Multidisciplinary Optimization. Short paper proceedings. Buffalo, USA, 1999. Vol.3. P. 156-158.

8.      A.A. Mailybaev and A.P. Seyranian, Sensitivity analysis of eigenvalues and singularities of stability domains, Proceedings of the 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization. St. Louis, USA, 1998. Vol. 3, pp. 2166-2176.

9.      A.A. Mailybaev and A.P. Seyranian, Optimal position of a bracing strut of a wing with respect to aeroelastic stability, Proceedings of the 2nd World Congress of Structural and Multidisciplinary Optimization, W.Gutkowski, Z.Mroz, eds. Zakopane, Poland, 1997, Vol. 2, pp. 941-946.

10.  A.A. Mailybaev, Numerical investigation of aeroelastic stability of a wing with bracing struts (M.V. Keldysh problem), Proceedings of the International Scientific Congress of students, aspirants and young researchers Youth and Science - Looking into the 3rd Millennium (YSTM'96). Moscow, Russia, 1996. Vol. 1, pp. I-11 - I-12.

 

Updated: January 2010