Papers

 

  1. T. Goldzak, A.A. Mailybaev and N. Moiseyev, Light stops at exceptional points. (2017) ArXiv:1709.10172. [PDF]

  2. A.A. Mailybaev and A. Nachbin, Breakdown along an ocean wave surface prior to overturning, (2017). ArXiv:1707.07516. [PDF] [Supplementary video]

  3. L. Biferale, A.A. Mailybaev and G. Parisi, Optimal subgrid scheme for shell models of turbulence, Physical Review E 95 (2017), 043108. [Link] [PDF]

  4. M.A. Endo Kokubun and A.A. Mailybaev, Singularity of a combustion wave profile: a clue to the multicomponent theory for liquid-gas filtration, SIAM Journal on Applied Mathematics 77 (2017), 1375–1396. [Link] [PDF]

  5. M. de Pietro, A.A. Mailybaev and L. Biferale, Chaotic and regular instantons in helical shell models of turbulence, Physical Review Fluids 2 (2017), 034606. [Link] [ArXiv]

  6. D.S. Agafontsev, E.A. Kuznetsov and A.A. Mailybaev, Asymptotic solution for high vorticity regions in incompressible 3D Euler equations, Journal of Fluid Mechanics 813 (2017), R1. [Link] [PDF]

  7. A.A. Mailybaev, Toward analytic theory of the Rayleigh-Taylor instability: lessons from a toy model, Nonlinearity 30 (2017), 2466-2484. [Link] [PDF

  8. Д.С. Агафонцев, Е. А. Кузнецов, А. А. Майлыбаев, Опрокидывание вихревых линий как предтеча колмогоровской турбулентности. Нелинейные волны. Нижний Новгород: ИПФ РАН, 2017. С.304-319. (in Russian) [PDF]

  9. J. Doppler, A.A. Mailybaev, J. Böhm, U. Kuhl, A. Girschik, F. Libisch, T.J. Milburn, P. Rabl, N. Moiseyev, S. Rotter, Dynamically encircling an exceptional point for asymmetric mode switching, Nature (2016) 537:7618, 76-79.  [Link] [Open access] Supplementary material [PDF] Selected for: Nature Physics News & Views.

  10. D.S. Agafontsev, E.A. Kuznetsov and A.A. Mailybaev, Development of high vorticity in incompressible 3D Euler equations: influence of initial conditions, JETP Letters 104 (2016), 685–689. [Link] [PDF in English, PDF in Russian]
  11. F.P. Santos, A.A. Mailybaev and D. Marchesin, Oxidation wave structure and oxygen breakthrough for air injection into light oil reservoirs, Computational Geosciences 20 (2016), 1095-1107. [Link] [Open Access]
  12. A.A. Mailybaev, Spontaneously stochastic solutions in one-dimensional inviscid systems, Nonlinearity 29 (2016), 2238-2252. [Link] [arXiv]
  13. M.A. Endo Kokubun, N. Khoshnevis Gargar, H. Bruinning, A.A. Mailybaev, Multicomponent effects in liquid-gas filtration combustion, Combustion & Flame 169 (2016), 51-62. [Link]
  14. A.A. Mailybaev, Spontaneous stochasticity of velocity in turbulence models, Multiscale Modeling and Simulation (SIAM) 14 (2016), 96-112. [Link] [arVix]
  15. A.A. Mailybaev, Continuous representation for shell models of turbulence. Nonlinearity 28 (2015), 2497-2514. [Link] [arXiv]
  16. N.K. Gargar, A.A. Mailybaev, D. Marchesin, J. Bruining, Recovery of light oil by air injection at medium temperature: Experiments. Journal of Petroleum Science & Engineering 133 (2015), 29-39. [Link] [PDF]
  17. D.S. Agafontsev, E.A. Kuznetsov, A.A. Mailybaev, Development of high vorticity structures in incompressible 3D Euler equations, Physics of Fluids 27 (2015), 085102. [Link] [arXiv]
  18. G. Spelsberg-Korspeter, A. Wagner, A.A. Mailybaev, Stability analysis of a rotating disk with rotating and nonrotating asymmetries in translatory and rotational degrees of freedom, Journal of Sound and Vibration 359 (2015), 107-115. [Link] [PDF]
  19. M. de Pietro, L. Biferale, A.A. Mailybaev, Inverse energy cascade in nonlocal helical shell models of turbulence, Physical Review E 92 (2015), 043021. [Link] [arXiv]
  20. A.A. Mailybaev, Stochastic anomaly and large Reynolds number limit in hydrodynamic turbulence models,  ArXiv: 1508.03869 (2015). [PDF]
  21. A.A. Mailybaev, G. Spelsberg-Korspeter, Combined effect of spatially fixed and rotating asymmetries on stability of a rotor, Journal of Sound and Vibration 336 (2014), 227-239. [Link] [PDF]
  22. N.K. Gargar, A.A. Mailybaev, D. Marchesin, J. Bruining, Compositional effects in light/medium oil recovery by air injection: vaporization vs. combustion, Journal of Porous Media 17 (2014), 937-952. [Link] [PDF]
  23. N.K. Gargar, A.A. Mailybaev, D. Marchesin, J. Bruining, Effects of water on light oil recovery by air injection, Fuel 137 (2014), 200-210. [Link] [PDF]
  24. N.K. Gargar, A.A. Mailybaev, D. Marchesin, J. Bruining, Diffusive Effects on Recovery of Light Oil by Medium Temperature Oxidation, Transport in Porous Media 105 (2014), 191-209. [Link] [PDF]
  25. A.A. Mailybaev, Bifurcations of blowup in inviscid shell models of convective turbulence, Nonlinearity 26 (2013), 1105-1124. Included in Highlights of 2013. [Link] [PDF
  26. A.A. Mailybaev, J. Bruining, D. Marchesin, Recovery of Light Oil by Medium Temperature Oxidation, Transport in Porous Media 97 (2013), 317-343. [Link] [PDF]
  27. A.A. Mailybaev, Blowup as a driving mechanism of turbulence in shell models, Physical Review E 87 (2013), 053011. [Link] [arXiv]
  28. I. Gilary, A.A. Mailybaev, N. Moiseyev, Time-asymmetric quantum-state-exchange mechanism, Physical Review A 88 (2013), 010102(R). [Link] [arXiv]
  29. E.-M. Graefe, A.A. Mailybaev, N. Moiseyev, Breakdown of adiabatic transfer of light in waveguides in the presence of absorption, Physical Review A 88 (2013), 033842. [Link] [arXiv]
  30. A.A. Mailybaev and A.P. Seyranian, Instability of a general rotating system with small axial asymmetry and damping, Journal of Sound and Vibration 332 (2013), 346-360. [Link] [PDF]
  31. G. Chapiro, A.A. Mailybaev, A.J. Souza, D. Marchesin, J. Bruining, Asymptotic approximation of long-time solution for low-temperature filtration combustion, Computational Geosciences 16 (2012), 799-808. [Link] [PDF]
  32. A.A. Mailybaev, Computation of anomalous scaling exponents of turbulence from self-similar instanton dynamics, Physical Review E 86 (2012), 025301(R). [Link] [arXiv]
  33. A.A. Mailybaev, Renormalization and universality of blowup in hydrodynamic flows, Physical Review E 85 (2012), 066317. [Link] [arXiv]
  34. A.P. Seyranian and A.A. Mailybaev, A remark to the paper by O. N. Kirillov and F. Verhulst Paradoxes of dissipation-induced destabilization or who opened Whitney's umbrella? [ZAMM 90, No. 6, 462-488 (2010)]. Zeitschrift für Angewandte Mathematik und Mechanik 92 (2012), 253-253. [Link] [PDF1, PDF2]
  35. A.A. Mailybaev, Renormalization and universal structure of blowup in 1D conservation laws. In: Hyperbolic Problems: Theory, Numerics, Applications. USA: AIMS, 2012. P. 783-789. [PDF]
  36. A.A. Mailybaev, Renormalization group formalism for incompressible Euler equations and the blowup problem, ArXiv: 1203.3348 (2012). [PDF]
  37. A.A. Mailybaev, J. Bruining, D. Marchesin, Analytical Formulas for In-Situ Combustion. SPE Journal 16 (2011), 513-523. [Link] [PDF]
  38. A.A. Mailybaev and A.P. Seyranian, The effect of nonconservative forces on the stability of systems with multiple frequencies and the Nicolai paradox, Doklady Physics 56 (2011), 32-38. [Link] [PDF in EnglishPDF in Russian]
  39. A.A. Mailybaev, J. Bruining, D. Marchesin, Analysis of in situ combustion of oil with pyrolysis and vaporization, Combustion and Flame 158 (2011), 1097-1108. [Link] [PDF]
  40. A.P. Seyranian and A.A. Mailybaev, Paradox of Nicolai and related effects, Zeitschrift fur Angewandte Mathematik und Physik 62 (2011), 539-548. [Link] [PDF]
  41. A.A. Mailybaev, D. Marchesin, J. Bruining, Resonance in Low-Temperature Oxidation Waves for Porous Media, SIAM Journal on Mathematical Analysis 43 (2011), 2230-2252. [Link] [PDF]
  42. R. Uzdin, A.A. Mailybaev, N. Moiseyev, On the observability and asymmetry of adiabatic state flips generated by exceptional points, Journal of Physics A 44 (2011), 435302. [Link] [PDF]
  43. J. Bruining, A.A. Mailybaev and D. Marchesin, Filtration combustion in wet porous medium, SIAM Journal on Applied Mathematics 70 (2009), 1157-1177. [Link] [PDF]
  44. 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. [Link] [PDF]
  45. A.A. Mailybaev and A.P. Seyranian, Stabilization of statically unstable systems by parametric excitation, Journal of Sound and Vibration 323 (2009), 1016-1031. [Link] [PDF]
  46. A.P. Seyranian and A.A. Mailybaev, Vibrational stabilization of statically unstable systems, Doklady Physics 54 (2009), 294-300. [Link] [PDF in English, PDF in Russian]
  47. A.A. Mailybaev and D. Marchesin, Lax shocks in mixed-type systems of conservation laws, Journal of Hyperbolic Differential Equations 5 (2008), 295-315. [Link] [PDF]
  48. A.A. Mailybaev and D. Marchesin, Hyperbolicity singularities in rarefaction waves, Journal of Dynamics and Differential Equations 20 (2008), 1-29. [Link] [PDF]
  49. 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. [Link] [PDF]
  50. A.A. Mailybaev and A.P. Seyranian, Bifurcations of equilibria in potential systems at bimodal critical points, Journal of Applied Mechanics 75 (2008), 021016. [Link] [PDF]
  51. A.P. Seyranian and A.A. Mailybaev, Bimodal bifurcations of equilibria in symmetric potential systems, Doklady Physics 52 (2007), 600-606. [Link] [PDF]
  52. 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. [Link] [PDF]
  53. 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. [Link] [PDF]
  54. A.A. Mailybaev, Computation of multiple eigenvalues and generalized eigenvectors for matrices dependent on parameters, Numerical Linear Algebra with Applications 13 (2006), 419-436. [Link] [PDF] [Software for MATLAB]
  55. A.A. Mailybaev, O.N. Kirillov and A.P. Seyranian, Berry phase around degeneracies, Doklady Mathematics 73 (2006), 129-133. [Link] [PDF]
  56. O.N. Kirillov, A.A. Mailybaev and A.P. Seyranian, Singularities of energy surfaces under non-Hermitian perturbations, Doklady Physics 50 (2005), 577-582. [PDF in English, PDF in Russian]
  57. 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. [PDF in Russian].
  58. A.A. Mailybaev, O.N. Kirillov, A.P. Seyranian, Geometric phase around exceptional points, Physical Review A 72 (2005), 014104. [Link] [PDF]
  59. 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. [Link] [PDF]
  60. 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. [Link] [PDF]
  61. A.A. Mailybaev, H. Yabuno, and H. Kaneko, Optimal shapes of parametrically excited beams, Structural and Multidisciplinary Optimization 27 (2004), 435-445. [Link] [PDF]
  62. 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. P. 125-135. [PDF]
  63. A.A. Mailybaev and A.P. Seyranian, Interaction of eigenvalues under variation of parameters, Doklady Mathematics 68 (2003), 466-470.
  64. A.A. Mailybaev, Uncontrollability for linear autonomous multi-input dynamical systems depending on parameters, SIAM Journal on Control and Optimization 42 (2003), 1431-1450. [Link] [PDF]
  65. 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. [Link] [PDF]
  66. A.P. Seyranian and A.A. Mailybaev, Interaction of eigenvalues in multi-parameter problems, Journal of Sound and Vibration 267 (2003), 1047-1064. [Link] [PDF]
  67. A.P. Seyranian and A.A. Mailybaev, Three-dimensional domains of parametric resonance, Proceedings of Steklov Mathematical Institute 236 (2002), 291-304. [PDF
  68. A.A. Mailybaev, On stability domains of nonconservative systems under small parametric excitation, Acta Mechanica, 154 (2002), 11-33. [Link] [PDF]
  69. A.A. Mailybaev, Uncontrollability sets of linear systems depending on parameters, Doklady Mathematics 66 (2002), 290-293. [PDF]
  70. A.P. Seyranian and A.A. Mailybaev, On stability boundaries of conservative systems, Journal of Applied Mathematics and Physics (ZAMP) 52 (2001), 669-679. [Link] [PDF]
  71. A.A. Mailybaev, Evaluation of multiple eigenvalues and Jordan chains of vectors for matrices depending on parameters, Doklady Mathematics 64 (2001), 36-40. [PDF]
  72. A.A. Seyranian and A.A. Mailybaev, Parametric resonance in systems with weak dissipation, Doklady Physics 46 (2001), 434-439. [PDF]
  73. A.A. Mailybaev, Transformation to versal deformations of matrices, Linear Algebra and its Applications 337 (2001), 87-108. [Link] [PDF]
  74. 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]
  75. S.S. Grigoryan and A.A. Mailybaev, On the Weierstrass preparation theorem, Mathematical Notes 69 (2001), 170-174. [Link] [PDF]
  76. 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. [Link] [PDF]
  77. 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. [Link] [PDF]
  78. A.A. Mailybaev and A.P. Seyranian, On singularities of boundaries for parametric resonance, Doklady Physics 45 (2000), 410-414. [PDF
  79. 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]
  80. A.A. Mailybaev, On stability of polynomials depending on parameters, Journal of Computer and Systems Sciences International 39 (2000), 165-172. [PDF]
  81. A.A. Mailybaev, Transference of instability between branches in non-conservative mechanical systems, Vestnik Molodykh Uchenykh, Series PMM 3 (2000), 70-76 (in Russian). [PDF]
  82. A.P. Seiranyan and A.A. Mailybaev, On singularities of stability domain boundaries for Hamiltonian and gyroscopic systems, Doklady Physics 44 (1999), 251-255.
  83. 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). [PDF]
  84. A.A. Mailybaev, A method for reducing families of matrices to normal forms, Doklady Mathematics 60 (1999), 39-43.
  85. A.A. Mailybaev and A.P. Seiranyan, On stability domains of Hamiltonian systems, Journal of Applied Mathematics and Mechanics 63 (1999), 545-555. [PDF]
  86. A.A. Mailybaev and A.P. Seiranyan, Singularities of a stability-domain boundary, Doklady Physics 43 (1998), 248-252.
  87. A.A. Mailybaev and A.P. Seiranyan, Singularities of the boundaries of stability domains, Journal of Applied Mathematics and Mechanics 62 (1998), 909-920. [PDF]
  88. A.A. Mailybaev and A.P. Seiranyan, Aeroelastic stability of a wing with bracing struts (Keldysh problem), Fluid Dynamics 33 (1998), 124-134. [Link] [PDF]
  89. 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.
  90. 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). [PDF]
  91. A.A. Mailybaev and A.P. Seiranyan, The Keldysh problem on aeroelastic stability of a strut-braced wing, Physics-Doklady 41 (1996), 484-487.