
T.D. Drivas and A.A. Mailybaev, "Life after death" in ordinary differential equations with a nonLipschitz singularity, (2018). ArXiv: 1806.09001. [PDF] [Link]

A.A. Mailybaev and A. Nachbin, Explosive ripple instability due to incipient wave breaking, (2018). ArXiv:1707.07516. [PDF]

L. Biferale, G. Boffetta, A.A. Mailybaev and A. Scagliarini, RayleighTaylor turbulence with singular nonuniform initial conditions, Physical Review Fluids 3 (2018), 092601(R). [PDF] [Link]

C.S. Campolina and A.A. Mailybaev, Chaotic blowup in the 3D incompressible Euler equations on a logarithmic lattice, Physical Review Letters 121 (2018), 064501. [PDF] [Link] [Supplementary video]

T. Goldzak, A.A. Mailybaev and N. Moiseyev, Light stops at exceptional points. Physical Review Letters 120 (2018), 013901. [Link] [PDF]

D.S. Agafontsev, E.A. Kuznetsov, A.A. Mailybaev, Development of high vorticity structures and geometrical properties of the vortex line representation, Physics of Fluids (2018) 30, 095104. [PDF] [Link]

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

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

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]

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]

A.A. Mailybaev, Toward analytic theory of the RayleighTaylor instability: lessons from a toy model, Nonlinearity 30 (2017), 24662484. [Link] [PDF]

Д.С. Агафонцев, Е. А. Кузнецов, А. А. Майлыбаев, Опрокидывание вихревых линий как предтеча колмогоровской турбулентности. Нелинейные волны. Нижний Новгород: ИПФ РАН, 2017. С.304319. (in Russian) [PDF]

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, 7679. [Link] [Open access] Supplementary material [PDF] Selected for: Nature Physics News & Views.
 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]
 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), 10951107. [Link] [Open Access]
 A.A. Mailybaev, Spontaneously stochastic solutions in onedimensional inviscid systems, Nonlinearity 29 (2016), 22382252. [Link] [arXiv]
 M.A. Endo Kokubun, N. Khoshnevis Gargar, H. Bruinning, A.A. Mailybaev, Multicomponent effects in liquidgas filtration combustion, Combustion & Flame 169 (2016), 5162. [Link]
 A.A. Mailybaev, Spontaneous stochasticity of velocity in turbulence models, Multiscale Modeling and Simulation (SIAM) 14 (2016), 96112. [Link] [ArXiv]
 A.A. Mailybaev, Continuous representation for shell models of turbulence. Nonlinearity 28 (2015), 24972514. [Link] [arXiv]
 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), 2939. [Link] [PDF]
 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]
 G. SpelsbergKorspeter, 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), 107115. [Link] [PDF]
 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]
 A.A. Mailybaev, Stochastic anomaly and large Reynolds number limit in hydrodynamic turbulence models, ArXiv: 1508.03869 (2015). [PDF]
 A.A. Mailybaev, G. SpelsbergKorspeter, Combined effect of spatially fixed and rotating asymmetries on stability of a rotor, Journal of Sound and Vibration 336 (2014), 227239. [Link] [PDF]
 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), 937952. [Link] [PDF]
 N.K. Gargar, A.A. Mailybaev, D. Marchesin, J. Bruining, Effects of water on light oil recovery by air injection, Fuel 137 (2014), 200210. [Link] [PDF]
 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), 191209. [Link] [PDF]
 A.A. Mailybaev, Bifurcations of blowup in inviscid shell models of convective turbulence, Nonlinearity 26 (2013), 11051124. Included in Highlights of 2013. [Link] [PDF]
 A.A. Mailybaev, J. Bruining, D. Marchesin, Recovery of Light Oil by Medium Temperature Oxidation, Transport in Porous Media 97 (2013), 317343. [Link] [PDF]
 A.A. Mailybaev, Blowup as a driving mechanism of turbulence in shell models, Physical Review E 87 (2013), 053011. [Link] [arXiv]
 I. Gilary, A.A. Mailybaev, N. Moiseyev, Timeasymmetric quantumstateexchange mechanism, Physical Review A 88 (2013), 010102(R). [Link] [arXiv]
 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]
 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), 346360. [Link] [PDF]
 G. Chapiro, A.A. Mailybaev, A.J. Souza, D. Marchesin, J. Bruining, Asymptotic approximation of longtime solution for lowtemperature filtration combustion, Computational Geosciences 16 (2012), 799808. [Link] [PDF]
 A.A. Mailybaev, Computation of anomalous scaling exponents of turbulence from selfsimilar instanton dynamics, Physical Review E 86 (2012), 025301(R). [Link] [arXiv]
 A.A. Mailybaev, Renormalization and universality of blowup in hydrodynamic flows, Physical Review E 85 (2012), 066317. [Link] [arXiv]
 A.P. Seyranian and A.A. Mailybaev, A remark to the paper by O. N. Kirillov and F. Verhulst Paradoxes of dissipationinduced destabilization or who opened Whitney's umbrella? [ZAMM 90, No. 6, 462488 (2010)]. Zeitschrift für Angewandte Mathematik und Mechanik 92 (2012), 253253. [Link] [PDF1, PDF2]
 A.A. Mailybaev, Renormalization and universal structure of blowup in 1D conservation laws. In: Hyperbolic Problems: Theory, Numerics, Applications. USA: AIMS, 2012. P. 783789. [PDF]
 A.A. Mailybaev, Renormalization group formalism for incompressible Euler equations and the blowup problem, ArXiv: 1203.3348 (2012). [PDF]
 A.A. Mailybaev, J. Bruining, D. Marchesin, Analytical Formulas for InSitu Combustion. SPE Journal 16 (2011), 513523. [Link] [PDF]
 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), 3238. [Link] [PDF in English, PDF in Russian]
 A.A. Mailybaev, J. Bruining, D. Marchesin, Analysis of in situ combustion of oil with pyrolysis and vaporization, Combustion and Flame 158 (2011), 10971108. [Link] [PDF]
 A.P. Seyranian and A.A. Mailybaev, Paradox of Nicolai and related effects, Zeitschrift fur Angewandte Mathematik und Physik 62 (2011), 539548. [Link] [PDF]
 A.A. Mailybaev, D. Marchesin, J. Bruining, Resonance in LowTemperature Oxidation Waves for Porous Media, SIAM Journal on Mathematical Analysis 43 (2011), 22302252. [Link] [PDF]
 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]
 J. Bruining, A.A. Mailybaev and D. Marchesin, Filtration combustion in wet porous medium, SIAM Journal on Applied Mathematics 70 (2009), 11571177. [Link] [PDF]
 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. [Link] [PDF]
 A.A. Mailybaev and A.P. Seyranian, Stabilization of statically unstable systems by parametric excitation, Journal of Sound and Vibration 323 (2009), 10161031. [Link] [PDF]
 A.P. Seyranian and A.A. Mailybaev, Vibrational stabilization of statically unstable systems, Doklady Physics 54 (2009), 294300. [Link] [PDF in English, PDF in Russian]
 A.A. Mailybaev and D. Marchesin, Lax shocks in mixedtype systems of conservation laws, Journal of Hyperbolic Differential Equations 5 (2008), 295315. [Link] [PDF]
 A.A. Mailybaev and D. Marchesin, Hyperbolicity singularities in rarefaction waves, Journal of Dynamics and Differential Equations 20 (2008), 129. [Link] [PDF]
 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. [Link] [PDF]
 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]
 A.P. Seyranian and A.A. Mailybaev, Bimodal bifurcations of equilibria in symmetric potential systems, Doklady Physics 52 (2007), 600606. [Link] [PDF]
 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]
 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. [Link] [PDF]
 A.A. Mailybaev, Computation of multiple eigenvalues and generalized eigenvectors for matrices dependent on parameters, Numerical Linear Algebra with Applications 13 (2006), 419436. [Link] [PDF] [Software for MATLAB]
 A.A. Mailybaev, O.N. Kirillov and A.P. Seyranian, Berry phase around degeneracies, Doklady Mathematics 73 (2006), 129133. [Link] [PDF]
 O.N. Kirillov, A.A. Mailybaev and A.P. Seyranian, Singularities of energy surfaces under nonHermitian perturbations, Doklady Physics 50 (2005), 577582. [PDF in English, PDF in Russian]
 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. [PDF in Russian].
 A.A. Mailybaev, O.N. Kirillov, A.P. Seyranian, Geometric phase around exceptional points, Physical Review A 72 (2005), 014104. [Link] [PDF]
 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. [Link] [PDF]
 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. [Link] [PDF]
 A.A. Mailybaev, H. Yabuno, and H. Kaneko, Optimal shapes of parametrically excited beams, Structural and Multidisciplinary Optimization 27 (2004), 435445. [Link] [PDF]
 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. P. 125135. [PDF]
 A.A. Mailybaev and A.P. Seyranian, Interaction of eigenvalues under variation of parameters, Doklady Mathematics 68 (2003), 466470.
 A.A. Mailybaev, Uncontrollability for linear autonomous multiinput dynamical systems depending on parameters, SIAM Journal on Control and Optimization 42 (2003), 14311450. [Link] [PDF]
 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. [Link] [PDF]
 A.P. Seyranian and A.A. Mailybaev, Interaction of eigenvalues in multiparameter problems, Journal of Sound and Vibration 267 (2003), 10471064. [Link] [PDF]
 A.P. Seyranian and A.A. Mailybaev, Threedimensional domains of parametric resonance, Proceedings of Steklov Mathematical Institute 236 (2002), 291304. [PDF]
 A.A. Mailybaev, On stability domains of nonconservative systems under small parametric excitation, Acta Mechanica, 154 (2002), 1133. [Link] [PDF]
 A.A. Mailybaev, Uncontrollability sets of linear systems depending on parameters, Doklady Mathematics 66 (2002), 290293. [PDF]
 A.P. Seyranian and A.A. Mailybaev, On stability boundaries of conservative systems, Journal of Applied Mathematics and Physics (ZAMP) 52 (2001), 669679. [Link] [PDF]
 A.A. Mailybaev, Evaluation of multiple eigenvalues and Jordan chains of vectors for matrices depending on parameters, Doklady Mathematics 64 (2001), 3640. [PDF] [PDF in Russian]
 A.A. Seyranian and A.A. Mailybaev, Parametric resonance in systems with weak dissipation, Doklady Physics 46 (2001), 434439. [PDF]
 A.A. Mailybaev, Transformation to versal deformations of matrices, Linear Algebra and its Applications 337 (2001), 87108. [Link] [PDF]
 A.A. Mailybaev and A.P. Seyranian, Parametric resonance in systems with small damping, Journal of Applied Mathematics and Mechanics 65 (2001), 755767. [PDF]
 S.S. Grigoryan and A.A. Mailybaev, On the Weierstrass preparation theorem, Mathematical Notes 69 (2001), 170174. [Link] [PDF]
 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. [Link] [PDF]
 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. [Link] [PDF]
 A.A. Mailybaev and A.P. Seyranian, On singularities of boundaries for parametric resonance, Doklady Physics 45 (2000), 410414. [PDF]
 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]
 A.A. Mailybaev, On stability of polynomials depending on parameters, Journal of Computer and Systems Sciences International 39 (2000), 165172. [PDF]
 A.A. Mailybaev, Transference of instability between branches in nonconservative mechanical systems, Vestnik Molodykh Uchenykh, Series PMM 3 (2000), 7076 (in Russian). [PDF]
 A.P. Seiranyan and A.A. Mailybaev, On singularities of stability domain boundaries for Hamiltonian and gyroscopic systems, Doklady Physics 44 (1999), 251255.
 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). [PDF]
 A.A. Mailybaev, A method for reducing families of matrices to normal forms, Doklady Mathematics 60 (1999), 3943.
 A.A. Mailybaev and A.P. Seiranyan, On stability domains of Hamiltonian systems, Journal of Applied Mathematics and Mechanics 63 (1999), 545555. [PDF]
 A.A. Mailybaev and A.P. Seiranyan, Singularities of a stabilitydomain boundary, Doklady Physics 43 (1998), 248252. [PDF in Russian]
 A.A. Mailybaev and A.P. Seiranyan, Singularities of the boundaries of stability domains, Journal of Applied Mathematics and Mechanics 62 (1998), 909920. [PDF]
 A.A. Mailybaev and A.P. Seiranyan, Aeroelastic stability of a wing with bracing struts (Keldysh problem), Fluid Dynamics 33 (1998), 124134. [Link] [PDF]
 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. [PDF], [PDF in Russian]
 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). [PDF]
 A.A. Mailybaev and A.P. Seiranyan, The Keldysh problem on aeroelastic stability of a strutbraced wing, PhysicsDoklady 41 (1996), 484487. [PDF in Russian]