- D. Bigoni, F. Dal Corso, O.N. Kirillov, D. Misseroni, G. Noselli, A. Piccolroaz (2023) Flutter instability in solids and structures, with a view on biomechanics and metamaterials.
Proceedings of the Royal Society A. 479(2279): 20230523
url pdf - J. Labarbe, O.N. Kirillov (2022) Radiation-induced instability of a finite-chord Nemtsov membrane.
Physics of Fluids, 34(1): 014106
url pdf - O.N. Kirillov, F. Verhulst (2022) From rotating fluid masses and Ziegler’s paradox to Pontryagin- and Krein spaces and bifurcation theory, pp. 201-243. in: “Novel mathematics inspired by industrial challenges”, W.H.A. Schilders, M. Gunther, eds., Vol. 38. Mathematcis in Industry, Springer, Berlin.
url pdf - J. Labarbe, O.N. Kirillov (2021) Diffusive instabilities of baroclinic lenticular vortices.
Physics of Fluids, 33(10): 104108
url pdf - O.N. Kirillov, M.L. Overton (2021) Finding the strongest stable massless column with a follower load and relocatable concentrated masses. The Quarterly Journal of Mechanics and Applied Mathematics, 74(2): 223–250
url pdf - J. Labarbe, O.N. Kirillov (2020) Membrane flutter induced by radiation of surface gravity waves on a uniform flow.
Journal of Fluid Mechanics, 901: A4
url pdf - R. Zou, J. Labarbe, O.N. Kirillov, Y. Fukumoto (2020) Analysis of azimuthal magnetorotational instability of rotating magnetohydrodynamic flows and Tayler instability via an extended Hain-Lüst equation.
Physical Review E, 101: 013201
url pdf - D. Bigoni, O.N. Kirillov, D. Misseroni, G. Noselli, M. Tommasini (2018) Detecting singular weak-dissipation limit for flutter onset in reversible systems.
Physical Review E, 97: 023003.
url pdf - D. Bigoni, O.N. Kirillov, D. Misseroni, G. Noselli, M. Tommasini (2018) Flutter and divergence instability in the Pfluger column: Experimental evidence of the Ziegler destabilization paradox.
Journal of the Mechanics and Physics of Solids, 116: 99-116.
url pdf - O.N. Kirillov (2018) Locating the sets of exceptional points in dissipative systems and the self-stability of bicycles. Entropy, 20(7): 502.
url pdf - O.N. Kirillov (2018) Dissipation-induced instabilities in magnetized flows. Journal of Mathematical Sciences, 235(4): 455-472.
url pdf - O.N. Kirillov, M. Levi (2017) A Coriolis force in an inertial frame.
Nonlinearity, 30(3): 1109-1119.
url pdf - O.N. Kirillov, I. Mutabazi (2017) Short wavelength local instabilities of a circular Couette flow with radial temperature gradient.
Journal of Fluid Mechanics, 818: 319-343.
url pdf - O.N. Kirillov (2017) Singular diffusionless limits of double-diffusive instabilities in magnetohydrodynamics.
Proceedings of the Royal Society of London A, .
url pdf - M. Tommasini, O. N. Kirillov, D. Misseroni, and D. Bigoni (2016) The destabilizing effect of external damping: Singular flutter boundary for the Pfluger column with vanishing external dissipation. Journal of the Mechanics and Physics of Solids, 91: 204-215.
url pdf - O.N. Kirillov, M. Levi (2016) Rotating saddle trap as Foucault’s pendulum. American Journal of Physics, 84(1): 26-31
url pdf - O.N. Kirillov (2016) Dissipation-induced instabilities in magnetized flows. In: Proceedings of the Seventh International Conference on Differential and Functional-Differential Equations (Moscow, August 22–29, 2014). Part 3. Vol. 60. Contemporary Mathematics. Fundamental Directions. Moscow: PFUR.
url pdf - F. Stefani, O.N. Kirillov (2015) Destabilization of rotating flows with positive shear by azimuthal magnetic fields.
Physical Review E, 92: 051001(R)
url pdf - O.N. Kirillov, F. Stefani, Y. Fukumoto (2014) Local instabilities in magnetized rotational flows: A short-wavelength approach. Journal of Fluid Mechanics, 760: 591- 633
url pdf - O.N. Kirillov, N. Challamel, F. Darve, J. Lerbet, F. Nicot (2014) Singular divergence instability thresholds of kinematically constrained circulatory systems. Physics Letters A, 378: 147-152
url pdf - O.N. Kirillov, F. Stefani, Y. Fukumoto (2014) Instabilities of rotational flows in azimuthal magnetic fields of arbitrary radial dependence. Fluid Dynamics Research, 46: 031403 (14 pp)
url pdf - J. Lerbet, M. Aldowaji, N. Challamel, O.N. Kirillov, F. Nicot, F. Darve (2014) Geometric degree of non-conservativity. Mathematics and Mechanics of Complex Systems, 2 (2): 123–139
url pdf - O.N. Kirillov, M.L. Overton (2013) Robust stability at the swallowtail singularity. Frontiers in Physics, 1: 24
url pdf - O.N. Kirillov, F. Stefani (2013) Extending the range of the inductionless magnetorotational instability. Physical Review Letters, 111(6): 061103
url pdf - O.N. Kirillov (2013) Stabilizing and destabilizing perturbations of PT -symmetric indefinitely damped systems. Philosophical Transactions of the Royal Society A, 371: 20120051
url pdf - J. Lerbet, O. Kirillov, M. Aldowaji, N. Challamel, F. Nicot, F. Darve (2013) Additional constraints may soften a non-conservative structural system: Buckling and vibration analysis. International Journal of Solids and Structures, 50: 363-370
url pdf - O.N. Kirillov (2013) Exceptional and diabolical points in stability questions. Fortschritte der Physik – Progress in Physics, 61(2-3): 205-224
url pdf - O.N. Kirillov, F. Stefani (2012) WKB thresholds of standard, helical, and azimuthal magnetorotational instability. Proceedings of the International Astronomical Union, 8: 233-234
url pdf - O.N. Kirillov, F. Stefani, Y. Fukumoto (2012) A unifying picture of helical and azimuthal MRI, and the universal significance of the Liu limit. The Astrophysical Journal, 756(83): 6pp
url pdf - O.N. Kirillov (2012) PT-symmetry, indefinite damping and dissipation-induced instabilities. Physics Letters A, 376(15): 1244-1249
url pdf - O.N. Kirillov, F. Stefani (2012) Standard and helical magnetorotational instability: How singularities create paradoxical phenomena in MHD. Acta Applicandae Mathematicae, 120(1): 177-198
url pdf - O.N. Kirillov (2012) Erratum to: Brouwer’s problem on a heavy particle in a rotating vessel: Wave propagation, ion traps, and rotor dynamics [Physics Letters A 375 (2011) 1653-1660] Physics Letters A, 376: 665-666
url pdf - O. N. Kirillov, F. Verhulst (2012). Authors’ reply to 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, 462488 (2010)]. ZAMM – Journal of Applied Mathematics and Mechanics / Zeitschrift fur Angewandte Mathematik und Mechanik 92(3): 254–254
url pdf - O.N. Kirillov, D.E. Pelinovsky, G. Schneider (2011) Paradoxical transitions to instabilities in hydromagnetic Couette-Taylor flows. Physical Review E, 84(6): 065301(R) (Rapid communication)
url pdf - O.N. Kirillov, F. Stefani (2011) Paradoxes of magnetorotational instability and their geometrical resolution. Physical Review E, 84(3): 036304
url pdf - O.N. Kirillov (2011) Brouwer’s problem on a heavy particle in a rotating vessel: wave propagation, ion traps, and rotor dynamics. Physics Letters A, 375: 1653-1660
url pdf - B. Dietz, H. L. Harney, O.N. Kirillov, M. Miski-Oglu, A. Richter, F. Schaefer (2011) Exceptional Points in a Microwave Billiard with Time-Reversal Invariance Violation. Physical Review Letters, 106(15): 150403
url pdf - O.N. Kirillov, F. Verhulst (2011) Dissipation-induced instabilities and symmetry. Acta Mechanica Sinica, 27(1): 2-6
url pdf - O. N. Kirillov (2011) Singularities in Structural Optimization of the Ziegler Pendulum. Acta Polytechnica, 51(4): 32-43
url pdf - O.N. Kirillov (2011) Sensitivity of sub-critical mode-coupling instabilities in non-conservative rotating continua to stiffness and damping modifications. International Journal of Vehicle Structures and Systems, 3(1): 1-13
url pdf - O.N. Kirillov, F. Stefani (2010) On the relation of standard and helical magnetorotational instability. The Astrophysical Journal, 712: 52-68
url pdf - I. Hoveijn, O.N. Kirillov (2010) Singularities on the boundary of the stability domain near 1:1-resonance. Journal of Differential Equations, 248(10): 2585-2607
url pdf - O.N. Kirillov, F. Verhulst (2010) Paradoxes of dissipation-induced destabilization or who opened Whitney’s umbrella? Zeitschrift fur angewandte Mathematik und Mechanik-ZAMM, 90(6): 462 – 488 (Editor’s choice)
url pdf - O.N. Kirillov (2010) Eigenvalue bifurcation in multiparameter families of non-self-adjoint operator matrices. Zeitschrift fur angewandte Mathemtik und Physik-ZAMP, 61(2): 221-234
url pdf - F. Verhulst, O.N. Kirillov (2009) Bottema opende Whitney’s paraplu. Nieuw Archief voor Wiskunde, 5/10(4): 250-254
url pdf - O.N. Kirillov (2009) Campbell diagrams of weakly anisotropic flexible rotors. Proc. of the Royal Society A 465(2109): 2703-2723
url pdf - O.N. Kirillov (2009) Unfolding the conical zones of the dissipation-induced subcritical flutter for the rotationally symmetrical gyroscopic systems. Physics Letters A 373(10): 940-945
url pdf - O.N. Kirillov (2009) Perspectives and obstacles for optimization of brake pads with respect to stability criteria. Int. J. of Vehicle Design, 51(1/2): 143-167
url pdf - O.N. Kirillov, U. Guenther, F. Stefani (2009) Determining role of Krein signature for three dimensional Arnold tongues of oscillatory dynamos. Physical Review E, 79: 1 016205
(Selected for PRE Kaleidoscope)
url pdf - O.N. Kirillov (2009) How to play a disc brake: A dissipation-induced squeal. SAE International Journal of Passenger Cars – Mechanical Systems, 1(1): 863-876
url pdf - G. Spelsberg-Korspeter, D. Hochlenert, O.N. Kirillov, P. Hagedorn (2009) In- and out-of-plane vibrations of a rotating plate with frictional contact: Investigations on squeal phenomena. Transactions of the ASME – Journal of Applied Mechanics, 76(4): 041006
url pdf - O.N. Kirillov (2008) Subcritical flutter in the acoustics of friction. Proceedings of the Royal Society A, 464(2097): 2321-2339
url pdf - G. Spelsberg-Korspeter, O.N. Kirillov, P. Hagedorn (2008) Modeling and stability analysis of an axially moving beam with frictional contact. Transactions of the ASME – Journal of Applied Mechanics, 75(3): 031001
url pdf - O.N. Kirillov (2007) Gyroscopic stabilization in the presence of nonconservative forces. Doklady Mathematics, 76(2): 780-785
url pdf - O.N. Kirillov (2007) Bifurcation of the roots of the characteristic polynomial and destabilization paradox in friction induced oscillations. Theoretical and Applied Mechanics, 34(2): 87-109
url pdf - O.N. Kirillov (2007) On the stability of nonconservative systems with small dissipation. Journal of Mathematical Sciences,145(5): 5260-5270
url pdf - O.N. Kirillov (2007) Destabilization paradox due to breaking the Hamiltonian and reversible symmetry. International Journal of Non-Linear Mechanics, 42(1): 71-87
url pdf - U. Guenther, O.N. Kirillov, B.F. Samsonov, F. Stefani (2007) The spherically-symmetric α2-dynamo and some of its spectral peculiarities. Acta Polytechnica. 47(2-3): 75-81
url pdf - O.N. Kirillov (2006) Gyroscopic stabilization of non-conservative systems. Physics Letters A, 359(3): 204-210
url pdf - U. Guenther, O.N. Kirillov (2006) A Krein space related perturbation theory for MHD α2-dynamos and resonant unfolding of diabolical points. Journal of Physics A: Mathematical and General, 39: 10057-10076
url pdf - A.A. Mailybaev, O.N. Kirillov, A.P. Seyranian (2006) Berry phase around degeneracies. Doklady Mathematics, 73(1): 129-133
url pdf - O.N. Kirillov, A.A. Mailybaev, A.P. Seyranian (2005) Singularities of energy surfaces under non-Hermitian perturbations. Doklady Physics, 50(11): 577-582
url pdf - A.A. Mailybaev, O.N. Kirillov, A.P. Seyranian (2005) Geometric phase around exceptional points. Physical Review A, 72: 014104
url pdf - O.N. Kirillov, A.A. Mailybaev, A.P. Seyranian (2005) Unfolding of eigenvalue surfaces near a diabolic point due to a complex perturbation. Journal of Physics A: Mathematical and General, 38(24): 5531-5546
url pdf - A.P. Seyranian, O.N. Kirillov, A.A. Mailybaev (2005) Coupling of eigenvalues of complex matrices at diabolic and exceptional points. Journal of Physics A: Mathematical and General. 38(8): 1723-1740
url pdf - O.N. Kirillov, A.P. Seyranian (2005) Instability of distributed nonconservative systems caused by weak dissipation. Doklady Mathematics, 71(3): 470-475
url pdf - O.N. Kirillov, A.P. Seyranian (2005) The effect of small internal and external damping on the stability of distributed non-conservative systems. Journal of Applied Mathematics and Mechanics, 69(4): 529-552
url pdf pdf (in Russian) - O.N. Kirillov (2005) A theory of the destabilization paradox in non-conservative systems. Acta Mechanica, 174(3-4): 145-166
url pdf - O.N. Kirillov, A.P. Seyranian (2005) Stabilization and destabilization of a circulatory system by small velocity-dependent forces. Journal of Sound and Vibration, 283(3-5): 781-800
url pdf - O.N. Kirillov (2004) Destabilization paradox. Doklady Physics, 49(4): 239-245
url pdf - O.N. Kirillov, A.P. Seyranian (2004) Collapse of the Keldysh chains and stability of continuous non-conservative systems. SIAM Journal on Applied Mathematics, 64(4): 1383-1407
url pdf - A.P. Seyranian, O.N. Kirillov (2003) Effect of small dissipative and gyroscopic forces on the stability of nonconservative systems. Doklady Physics, 48(12): 679-684
url pdf - O.N. Kirillov, A.P. Seyranian (2002) Solution to the Herrmann-Smith problem. Doklady Physics, 47(10): 767-771
url pdf - O.N. Kirillov, A.P. Seyranian (2002) Metamorphoses of characteristic curves in circulatory systems. Journal of Applied Mathematics and Mechanics, 66(3): 371-385
url pdf - O.N. Kirillov, A.P. Seyranian (2002) Collapse of Keldysh chains and the stability of non-conservative systems. Doklady Mathematics, 66(1): 127-131
url pdf - O.N. Kirillov, A.P. Seyranian (2002) A non-smooth optimization problem. Moscow University Mechanics Bulletin, 57(3): 1-6
url pdf - A.P. Seyranian, O.N. Kirillov (2001) Bifurcation diagrams and stability boundaries of circulatory systems. Theoretical and Applied Mechanics, 26: 135-168
url pdf - O.N. Kirillov, A.P. Seyranian (2001) Overlapping of frequency curves in non-conservative systems. Doklady Physics, 46(3): 184-189
url pdf - O.N. Kirillov (1999) Optimization of stability of the flying bar. Young Scientists Bulletin – Applied Mathematics and Mechanics, 1(1): 64-78
url pdf
Applied Mathematics, Mechanics, Mathematical Physics
Dr. Oleg N. Kirillov 