Curriculum Vitae of Dr Alexei A. Mailybaev
Address Institute of
Mechanics Phone: +7 495 939 2039 Position: chief researcher 

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
19901992
Kolmogorov College at Moscow State Lomonosov University
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
·
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
·
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 AllRussian Young Scientists Competition on Mechanics and Control
dedicated to the 100th Anniversary of A.I. Lurie (2000)
·
Grants
of the President of Russian Federation (20049)
· INTAS research grant (20078)
·
Grants
of the Russian Foundation of Basic Research (19992001, 20035)
·
CRDF
and Russian Federation Ministry of Education BRHE postdoctoral fellowship
(20036)
·
RussianChinese
research grant RFBRNSFC (20024)
·
CNPq
grants for visits to the Institute of Pure and Applied Mathematics (IMPA), Rio
de Janeiro, Brazil (20012008)
·
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 (20012)
·
Stipendium
of Moscow State Lomonosov University for Talented Young Researchers and
Teachers (2001)
·
Stipendium
of Russian Federation for young talented scientists (20002003)
·
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)
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 PseudoHermitian 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)
Oneyear course Stability
and Catastrophes in Mechanical Systems
Moscow State University, Faculty of Mathematics and Mechanics,
Moscow, Russia (during
20012005)
Intensive course Lectures
on Stability Boundaries
Summer School in the Institute of Pure and Applied Mathematics (IMPA),
Rio de Janeiro, Brazil
(2001)
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
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.
2.
J.
Bruining, A.A. Mailybaev and D. Marchesin, Filtration combustion in wet porous
medium, SIAM Journal on Applied mathematics 70 (2009), 11571177.
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), 203212.
4.
A.A.
Mailybaev and A.P. Seyranian, Stabilization of statically unstable systems by
parametric excitation, Journal of Sound and Vibration 323 (2009),
10161031.
6. A.A. Mailybaev and D. Marchesin, Hyperbolicity singularities in rarefaction waves, Journal of Dynamics and Differential Equations 20 (2008), 129. (PDF)
7. S.P. Kuznestov, A.A. Mailybaev, I.R. Sataev, Birth of a New Class of PeriodDoubling Scaling Behavior as a Result of Bifurcation in the Renormalization Equation, Journal of Statistical Physics 130 (2008), 599616. (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), 600606.
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), 471–474. (PDF)
11. D. Marchesin and A.A.Mailybaev, Dualfamily viscous shock waves in n conservation laws with application to multiphase flow in porous media, Archive for Rational Mechanics and Analysis 182 (2006), 124. (PDF)
12. A.A. Mailybaev, Computation of multiple eigenvalues and generalized eigenvectors for matrices dependent on parameters, Numerical Linear Algebra with Applications 13 (2006), 419436. (PDF)
13.
A.A.
Mailybaev, O.N. Kirillov and A.P. Seyranian, Berry phase around degeneracies, Doklady
Mathematics 73 (2006), 129133.
14.
O.N.
Kirillov, A.A. Mailybaev and A.P. Seyranian, Singularities of energy surfaces
under nonHermitian perturbations, Doklady Physics 50 (2005),
577582.
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, 2747 (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), 55315546. (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), 17231740. (PDF)
19. A.A. Mailybaev, H. Yabuno, and H. Kaneko, Optimal shapes of parametrically excited beams, Structural and Multidisciplinary Optimization 27 (2004), 435445. (PDF)
20.
A.A.
Mailybaev and A.P. Seyranian, Interaction of eigenvalues under variation of
parameters, Doklady Mathematics 68 (2003), 466470.
21. A.A. Mailybaev, Uncontrollability for linear autonomous multiinput dynamical systems depending on parameters, SIAM Journal on Control and Optimization 42 (2003), 14311450. (PDF)
22. M.I. GarciaPlanas 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), 943962. (PDF)
23. A.P. Seyranian and A.A. Mailybaev, Interaction of eigenvalues in multiparameter problems, Journal of Sound and Vibration 267 (2003), 10471064. (PDF)
24.
A.P.
Seyranian and A.A. Mailybaev, Threedimensional domains of parametric
resonance, Proceedings of Steklov Mathematical Institute 236
(2002), 291304.
25.
A.A.
Mailybaev, On stability domains of nonconservative systems under small
parametric excitation, Acta Mechanica, 154 (2002), 1133.
26.
A.A.
Mailybaev, Uncontrollability sets of linear systems depending on parameters, Doklady
Mathematics 66 (2002), 290293.
27. A.P. Seyranian and A.A. Mailybaev, On stability boundaries of conservative systems, Journal of Applied Mathematics and Physics (ZAMP) 52 (2001), 669679. (PDF)
28. A.A. Mailybaev, Evaluation of multiple eigenvalues and Jordan chains of vectors for matrices depending on parameters, Doklady Mathematics 64 (2001), 3640. (PDF)
29.
A.A.
Seyranian and A.A. Mailybaev, Parametric resonance in systems with weak
dissipation, Doklady Physics 46 (2001), 434439.
30. A.A. Mailybaev, Transformation to versal deformations of matrices, Linear Algebra and its Applications 337 (2001), 87108. (PDF)
31. A.A. Mailybaev and A.P. Seyranian, Parametric resonance in systems with small damping, Journal of Applied Mathematics and Mechanics 65 (2001), 755767. (PDF)
32. S.S. Grigoryan and A.A. Mailybaev, On the Weierstrass preparation theorem, Mathematical Notes 69 (2001), 170174. (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), 396417. (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), 106128. (PDF)
35.
A.A.
Mailybaev and A.P. Seyranian, On singularities of boundaries for parametric
resonance, Doklady Physics 45 (2000), 405409.
36. A.A. Mailybaev and A.P. Seyranian, On the boundaries of the parametric resonance domain, Journal of Applied Mathematics and Mechanics 64 (2000), 909923. (PDF)
37. A.A. Mailybaev, On stability of polynomials depending on parameters, Journal of Computer and Systems Sciences International 39 (2000), 165172. (PDF)
38.
A.A.
Mailybaev, Transference of instability between branches in nonconservative
mechanical systems, Vestnik Molodykh Uchenykh, Series PMM 3
(2000), 7076 (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), 251255.
40.
A.A.
Mailybaev, Transformation of matrix families to normal forms and its
application to stability problems, Fundamental and Applied Mathematics 5
(1999), 11111133 (in Russian).
41.
A.A.
Mailybaev, A method for reducing families of matrices to normal forms, Doklady
Mathematics 60 (1999), 3943.
42. A.A. Mailybaev and A.P. Seiranyan, On stability domains of Hamiltonian systems, Journal of Applied Mathematics and Mechanics 63 (1999), 545555. (PDF)
43.
A.A.
Mailybaev and A.P. Seiranyan, Singularities of a stabilitydomain boundary, Doklady
Physics 43 (1998), 248252.
44.
A.A.
Mailybaev and A.P. Seiranyan, Singularities of the boundaries of stability
domains, Journal of Applied Mathematics and Mechanics 62 (1998),
909920.
45.
A.A.
Mailybaev and A.P. Seiranyan, Aeroelastic stability of a wing with bracing
struts (Keldysh problem), Fluid Dynamics 33 (1998), 124134.
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,
2022.
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. 34, 171187 (in Russian).
48.
A.A.
Mailybaev and A.P. Seiranyan, The Keldysh problem on aeroelastic stability of a
strutbraced wing, PhysicsDoklady 41 (1996), 484487.
1.
A.A.
Mailybaev and D. Marchesin, Dualfamily 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 APCOM’04, Beijing, Tsinghua University Press
& SpringerVerlag, 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.195210 (in Russian).
4. A.A. Mailybaev, Uncontrollability set for multiinput dynamical systems depending on parameters, Proceedings of the Physics and Control International Conference (PhysCon), SanktPetersburg, Vol. 4, pp. 11021105. IEEE Press, 2003.
5. A.A. Mailybaev and A.P. Seyranian, Stability boundaries of linear periodic systems, Proceedings of the 1^{st} MIT Conference on Computational Fluid and Solid Mechanics (K.J. Bathe, ed.), Vol. 2, pp. 16131616. Amsterdam, Elsevier, 2001.
6. A.A. Mailybaev and A.P. Seyranian, Singularities of stability boundaries in optimization problems, Proceedings of the 2^{nd} International Conference “Strength, Durability and Stability of Materials and Structures” (SDSMS’99). Panevezys, Lithuania. 1999. P. 282287.
7. A.P. Seyranian and A.A. Mailybaev, Multimodal optimal solutions and singularities of stability boundary, Proceedings of the 3^{rd} World Congress of Structural and Multidisciplinary Optimization. Short paper proceedings. Buffalo, USA, 1999. Vol.3. P. 156158.
8. A.A. Mailybaev and A.P. Seyranian, Sensitivity analysis of eigenvalues and singularities of stability domains, Proceedings of the 7^{th} AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization. St. Louis, USA, 1998. Vol. 3, pp. 21662176.
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 2^{nd} World Congress of Structural and Multidisciplinary Optimization, W.Gutkowski, Z.Mroz, eds. Zakopane, Poland, 1997, Vol. 2, pp. 941946.
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 3^{rd} Millennium” (YSTM'96). Moscow, Russia, 1996. Vol. 1, pp. I11  I12.
Updated: January 2010