несамосопряженный оператор,
задача на собственные значения,
геометрическая фаза,
неустойчивость за счет диссипации,
магнитовращательная неустойчивость,
неконсервативные системы.
Динамические системы, теория устойчивости, теоретическая механика, магнитная гидродинамика, математическая физика
Научная биография:
2022 — Associate Professor in Applied Mathematics, Northumbria University, UK 2022 — Co-organizer (together with O. Doare) of a Mini-Symposium 7-2"Nonconservative Stability Problems of Structural Mechanics and Fluid-Structure Interactions" at the EUROMECH ESMC, Galway, Ireland
2021 — Second, revised and extended, edition of the monograph "Nonconservative stability Problems of Modern Physics", Berlin, De Gruyter 2018 — Senior Lecturer in Applied Mathematics, Northumbria University, UK 2018 — Member of the London Mathematical Society, UK
2018 — Fellow of the Institute of Mathematics and its Applications, UK
2018 — Fellow of the Higher Education Academy, UK
2018 — Edited Collection "Dynamic Stability and Bifurcation in Nonconservative Mechanics" CISM International Centre for Mechanical Sciences 586, Springer, Berlin
2018 — Организатор (совместно с О. Доаре) мини-симпозиума 7-4 "Instabilities in Structural Mechanics and Fluid-Structure Interactions" на EUROMECH ESMC, Bologna, Italy
2017 — Организатор (совместно с Д. Бигони) летней школы (CISM-AIMETA Advanced School) в CISM: "Dynamic stability and bifurcation in nonconservative mechanics", Международный центр исследований по механике, Удине, Италия
2014 — Сборник статей "Nonlinear Physical systems: Spectral Analysis, Stability and Bifurcations", Wiley-ISTE, London
2013 — Член редколлегии журнала "Frontiers in Physics (Mathematical Physics)"
2013 — Монография "Nonconservative Stability Problems of Modern Physics", De Gruyter Studies in Mathematical Physics 14, De Gruyter, Berlin, Boston
2012 — Организовал BIRS Workshop on Spectral Analysis, Stability and Bifurcation in Modern Nonlinear Physical Systems, Banff, Canada
2010 — Japan Society for the Promotion of Science (JSPS) Fellowship
2005 — Alexander von Humboldt Fellowship
2003 — CRDF and Russian Federation Ministry of Education BRHE Post-Doctoral Fellowship
2002 — INTAS Young Scientists Fellowship
2001 — За исследование, посвященное особенностям границы области устойчивости циркуляционных систем, удостоен второй премии на всероссийском конкурсе работ молодых ученых, посвященном 100-летию со дня рождения А. И. Лурье
2001 — Удостоен стипендии МГУ им. М. В. Ломоносова для молодых преподавателей и ученых, добившихся значительных результатов в преподавательской и научной деятельности
2000 — Кандидатская диссертация, защищенная на механико-математическом факультете Московского государственного университета им. М. В. Ломоносова
1995 — Окончил с отличием Московский физико-технический институт (МФТИ)
1989 — Окончил с серебряной медалью физико-математическую школу No. 50 г. Минска
Основные публикации:
Kirillov, O.N., Nonconservative Stability Problems of Modern Physics, 2nd revised and extended edition, De Gruyter Studies in Mathematical Physics, 14, De Gruyter, Berlin–Boston, 2021
Kirillov, O.N., Stefani, F., “Extending the range of the inductionless magnetorotational instability”, Physical Review Letters, 111 (2013), 061103
Kirillov, O.N., “Stabilizing and destabilizing perturbations of PT-symmetric indefinitely damped systems”, Philosophical Transactions of the Royal Society A, 371:1989 (2013), 20120051
Dietz, B., Harney, H. L., Kirillov, O. N., Miski-Oglu, M., Richter, A., and Schäfer, F., “Exceptional Points in a Microwave Billiard with Time-Reversal Invariance Violation”, Physical Review Letters, 106 (2011), 150403
Kirillov, O.N., Verhulst, F., “Paradoxes of dissipation-induced destabilization or who opened Whitney.s umbrella?”, Zeitschrift für angewandte Mathematik und Mechanik-ZAMM, 90:6 (2010), 462–488
O.N. Kirillov, I. Mutabazi, “Unification theory of instabilities of visco-diffusive swirling flows”, Physical Review Letters, 2024, subm. (to appear) , arXiv: 2407.01706
2023
2.
D. Bigoni, F. Dal Corso, O.N. Kirillov, D. Misseroni, G. Noselli, A. Piccolroaz, “Flutter instability in solids and structures, with a view on biomechanics and metamaterials”, Proceedings of the Royal Society A, 479:2279 (2023), 20230523 , 27 pp.
J. Labarbe, O. N. Kirillov, “Radiation-induced instability of a finite-chord Nemtsov membrane”, Physics of Fluids, 34:1 (2022), 014106 , 22 pp., arXiv: 2104.01060
O. N. Kirillov, F. Verhulst, “From rotating fluid masses and Ziegler’s paradox to Pontryagin- and Krein spaces and bifurcation theory”: M. Gunther, W. Schilders, Novel Mathematics Inspired by Industrial Challenges, Mathematics in Industry, 38, eds. M. Gunther, W. Schilders, Springer, Berlin, 2022, 201–243
O. N. Kirillov, M. L. Overton, “Finding the strongest stable massless column with a follower load and relocatable concentrated masses”, The Quarterly Journal of Mechanics and Applied Mathematics, 74:2 (2021), 223–250
O. N. Kirillov, Nonconservative Stability Problems of Modern Physics, De Gruyter Studies in Mathematical Physics, 14, 2nd revised and extended edition, De Gruyter, Berlin, Boston, 2021 , 548 pp.
R. Zou, J. Labarbe, O. N. Kirillov, and Y. Fukumoto, “Analysis of azimuthal magnetorotational instability of rotating magnetohydrodynamic flows and Tayler instability via an extended Hain-Lüst equation”, Physical Review E, 101:1 (2020), 013201 , 22 pp., arXiv: 1907.05488
J. Labarbe, O. N. Kirillov, “Membrane flutter induced by radiation of surface gravity waves on a uniform flow”, Journal of Fluid Mechanics, 901 (2020), A4 , 30 pp., arXiv: 2004.11736
O. N. Kirillov, “Classical results and modern approaches to nonconservative stability”: D. Bigoni, O. N. Kirillov, Dynamic Stability and Bifurcation in Nonconservative Mechanics, CISM International Centre for Mechanical Sciences, Courses and Lectures, 586, eds. D. Bigoni, O. N. Kirillov, Springer, Berlin, 2019, 129-190
D. Bigoni, O. N. Kirillov (eds.), Dynamic Stability and Bifurcation in Nonconservative Mechanics, CISM International Centre for Mechanical Sciences, Courses and Lectures, 586, Springer, Berlin, 2019 , 197 pp.
Davide Bigoni, Diego Misseroni, Mirko Tommasini, Oleg N. Kirillov, and Giovanni Noselli, “Detecting singular weak-dissipation limit for flutter onset in reversible systems”, Physical Review E, 97:2 (2018), 023003 , 15 pp.
D. Bigoni, O.N. Kirillov, D. Misseroni, G. Noselli, M. Tommasini, “Flutter and divergence instability in the Pfluger column: Experimental evidence of the Ziegler destabilization paradox.”, Journal of the Mechanics and Physics of Solids, 116 (2018), 99-116
O. N. Kirillov, “Locating the sets of exceptional points in dissipative systems and the self-stability of bicycles”, Entropy, 20:7 (2018), 502 , 16 pp.
O. N. Kirillov, “Dissipation-Induced Instabilities in Magnetized Flows”, Journal of Mathematical Sciences, 235:4 (2018), 455–472
2017
16.
Оleg N. Kirillov, Innocent Mutabazi, “Short wavelength local instabilities of a circular Couette flow with radial temperature gradient”, J. Fluid Mech., 818 (2017), 319–343 , arXiv: 1612.03495v1
F. Stefani, T. Albrecht, R. Arlt, M. Christen, A. Gailitis, M. Gellert, A. Giesecke, O. Goepfert, J. Herault, O. N. Kirillov, G. Mamatsashvili, J. Priede, G. Rudiger, M. Seilmayer, A. Tilgner, T. Vogt, “Magnetic field dynamos and magnetically triggered flow instabilities”, IoP Conference Series, Materials Science and Engineering, 228 (2017), 012002 , 17 pp., arXiv: 1705.08189v1
O. N. Kirillov, D. Bigoni, D. Misseroni, G. Noselli, M. Tommasini, “Experiments on the Pfluger column: flutter from friction.”, First International Symposium on Flutter and its Application, Volume JAXA-SP-16-008E (15th-17th May , 2016, Mielparque-Tokyo, Minato-ku, Tokyo, Japan.), JAXA, 2017, 151-155 https://repository.exst.jaxa.jp/dspace/handle/a-is/612446
19.
Oleg Kirillov, Mark Levi, “A Coriolis force in an inertial frame”, Nonlinearity, 30:3 (2017), 1109–1119
Oleg N. Kirillov, “Singular diffusionless limits of double-diffusive instabilities in magnetohydrodynamics”, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci., 473:2205 (2017), 20170344 , 27 pp., arXiv: 1610.06970v2
Mirko Tommasini, Oleg N. Kirillov, Diego Misseroni, Davide Bigoni, “The destabilizing effect of external damping: Singular flutter boundary for the Pflüger column with vanishing external dissipation”, J. Mech. Phys. Solids, 91 (2016), 204–215
Davide Bigoni, Oleg Kirillov, Diego Misseroni, Mirko Tommasini, Giovanni Noselli, “Experiments on the Pfluger column: Flutter from friction”, The first International Symposium on Flutter and its Application (ISFA2016) (Tokyo, Japan, May 15–17 2016), Japan Research Association on Flutter (JRAF), 2016, 1–2http://jraf.wdc-jp.com/isfa2016/program.html
24.
О. Н. Кириллов, “Нарушения устойчивости намагниченных потоков, вызванные диссипацией”, Труды Седьмой Международной конференции по дифференциальным и функционально-дифференциальным уравнениям (Москва, 22–29 августа, 2014). Часть 3, СМФН, 60, РУДН, М., 2016, 82–101
2015
25.
Frank Stefani, Oleg N. Kirillov, “Destabilization of rotating flows with positive shear by azimuthal magnetic fields”, Phys. Rev. E (3), 92:5 (2015), 51001(R) , 4 pp.
O. N. Kirillov, D. E. Pelinovsky (eds.), Nonlinear Physical Systems: Spectral Analysis, Stability and Bifurcations, Mechanical Engineering and Solid Mechanics Series, John Wiley & Sons, Inc., Hoboken, NJ; ISTE, London, 2014 , 448 pp. http://eu.wiley.com/WileyCDA/WileyTitle/productCd-1848214200.html
O. N. Kirillov, N. Challamel, F. Darve, J. Lerbet, F. Nicot, “Singular divergence instability thresholds of kinematically constrained circulatory systems”, Phys. Lett. A, 378 (2014), 147–152
O. N. Kirillov, F. Stefani, Y. Fukumoto, “Local instabilities in magnetized rotational flows: a short-wavelength approach”, J. Fluid Mech., 760 (2014), 591–633
O. N. Kirillov, F. Stefani, Y. Fukumoto, “Instabilities of rotational flows in azimuthal magnetic fields of arbitrary radial dependence”, Fluid Dyn. Res., 46 (2014), 031403 , 14 pp.
J. Lerbet, M. Aldowaji, N. Challamel, O. N. Kirillov, F. Nicot, F. Darve, “Geometric degree of non-conservativity”, Math. Mech. Complex Syst., 2:2 (2014), 123–139
I. Hoveijn, O. N. Kirillov, “Determining the Stability Domain of Perturbed Four-Dimensional Systems in 1:1 Resonance”, Nonlinear Physical Systems: Spectral Analysis, Stability and Bifurcations (Spectral Analysis, Stability and Bifurcation in Modern Nonlinear Physical Systems (12w5073) BIRS, Banff, Alberta, Canada, November 4 – November 9, 2012), eds. O. N. Kirillov, D. E. Pelinovsky, John Wiley & Sons, London, 2014, 155–175 http://dx.doi.org/10.1002/9781118577608.ch8
2013
32.
O. N. Kirillov, F. Stefani, “Extending the range of the inductionless magnetorotational instability”, Phys. Rev. Lett., 111:6 (2013), 061103
O. N. Kirillov, “Stabilizing and destabilizing perturbations of PT-symmetric indefinitely damped systems”, Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 371 (2013), 20120051
J. Lerbet, O. Kirillov, M. Aldowaji, N. Challamel, F. Nicot, F. Darve, “Additional constraints may soften a non-conservative structural system: Buckling and vibration analysis”, International Journal of Solids and Structures, 50 (2013), 363–370
O. N. Kirillov, F. Stefani, “WKB thresholds of standard, helical, and azimuthal magnetorotational instability”, Proceedings of the International Astronomical Union, 8 (2012), 233–234
O. N. Kirillov, F. Stefani, Y. Fukumoto, “A unifying picture of helical and azimuthal MRI, and the universal significance of the Liu limit”, The Astrophysical Journal, 756 (2012), 83
O. N. Kirillov, F. Stefani, “Standard and helical magnetorotational instability: How singularities create paradoxical phenomena in MHD”, Acta Appl. Math., 120:1 (2012), 177–198
O. N. Kirillov, “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]”, Phys. Lett. A, 376 (2012), 665–666
2011
43.
O. N. Kirillov, D. E. Pelinovsky, G. Schneider, “Paradoxical transitions to instabilities in hydromagnetic Couette-Taylor flows”, Physical Review E, 84 (2011), 065301
O. N. Kirillov, “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
B. Dietz, H. L. Harney, O. N. Kirillov, M. Miski-Oglu, A. Richter, F. Schaefer, “Exceptional Points in a Microwave Billiard with Time-Reversal Invariance Violation”, Physical Review Letters, 106:15 (2011), 150403
O. N. Kirillov, “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 (2011), 1–13
I. Hoveijn, O. N. Kirillov, “Singularities on the boundary of the stability domain near 1:1-resonance”, Journal of Differential Equations, 248:10 (2010), 2585–2607
O. N. Kirillov, F. Verhulst, “Paradoxes of dissipation-induced destabilization or who opened Whitney.s umbrella?”, Zeitschrift für Angewandte Mathematik und Mechanik-ZAMM, 90:6 (2010), 462–488
O. N. Kirillov, “Eigenvalue bifurcation in multiparameter families of non-self-adjoint operator matrices”, Zeitschrift für Angewandte Mathematik und Physik-ZAMP, 61:2 (2010), 221–234
O. N. Kirillov, “Unfolding the conical zones of the dissipation-induced subcritical flutter for the rotationally symmetrical gyroscopic systems”, Physics Letters A, 373:10 (2009), 940–945
O. N. Kirillov, “Perspectives and obstacles for optimization of brake pads with respect to stability criteria”, International Journal of Vehicle Design, 51:1/2 (2009), 143–167
O. N. Kirillov, U. Guenther, F. Stefani, “Determining role of Krein signature for three dimensional Arnold tongues of oscillatory dynamos”, Physical Review E, 79:1 (2009), 016205
O. N. Kirillov, “How to play a disc brake: A dissipation-induced squeal”, SAE International Journal of Passenger Cars. Mechanical Systems, 1:1 (2009), 863–876
G. Spelsberg-Korspeter, D. Hochlenert, O. N. Kirillov, P. Hagedorn, “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 (2009), 041006
G. Spelsberg-Korspeter, O. N. Kirillov, P. Hagedorn, “Modeling and stability analysis of an axially moving beam with frictional contact”, Transactions of the ASME. Journal of Applied Mechanics, 75:3 (2008), 031001
O. N. Kirillov, “Bifurcation of the roots of the characteristic polynomial and destabilization paradox in friction induced oscillations”, Theoretical and Applied Mechanics, 34:2 (2007), 87–109
O. N. Kirillov, “Destabilization paradox due to breaking the Hamiltonian and reversible symmetry”, International Journal of Non-Linear Mechanics, 42:1 (2007), 71–87
U. Guenther, O. N. Kirillov, B. F. Samsonov, F. Stefani, “The spherically-symmetric alpha 2-dynamo and some of its spectral peculiarities”, Acta Polytechnica, 47:2-3 (2007), 75–81
2006
68.
O. N. Kirillov, “Gyroscopic stabilization of non-conservative systems”, Physics Letters A, 359:3 (2006), 204–210
U. Guenther, O. N. Kirillov, “A Krein space related perturbation theory for MHD alpha 2-dynamos and resonant unfolding of diabolical points”, Journal of Physics A: Mathematical and General, 39 (2006), 10057–10076
O. N. Kirillov, A. A. Mailybaev, A. P. Seyranian, “Singularities of energy surfaces under non-Hermitian perturbations”, Doklady Physics, 50:11 (2005), 577–582
O. N. Kirillov, A. A. Mailybaev, A. P. Seyranian, “Unfolding of eigenvalue surfaces near a diabolic point due to a complex perturbation”, Journal of Physics A: Mathematical and General, 38:24 (2005), 5531–5546
A. P. Seyranian, O. N. Kirillov, A. A. Mailybaev, “Coupling of eigenvalues of complex matrices at diabolic and exceptional points”, Journal of Physics A: Mathematical and General, 38:8 (2005), 1723–1740
O. N. Kirillov, A. P. Seyranian, “Instability of distributed nonconservative systems caused by weak dissipation”, Doklady Mathematics, 71:3 (2005), 470–475
76.
O. N. Kirillov, A. O. Seyranian, “The effect of small internal and external damping on the stability of distributed non-conservative systems”, Journal of Applied Mathematics and Mechanics, 69:4 (2005), 529–552
O. N. Kirillov, A. P. Seyranian, “Stabilization and destabilization of a circulatory system by small velocity-dependent forces”, Journal of Sound and Vibration, 283:3-5 (2005), 781–800
O. N. Kirillov, A. P. Seyranian, “Collapse of the Keldysh chains and stability of continuous non-conservative systems”, SIAM Journal on Applied Mathematics, 64:4 (2004), 1383–1407
A. P. Seyranian, O. N. Kirillov, “Effect of small dissipative and gyroscopic forces on the stability of nonconservative systems”, Doklady Physics, 48:12 (2003), 679–684
O. N. Kirillov, A. P. Seyranian, “Metamorphoses of characteristic curves in circulatory systems”, Journal of Applied Mathematics Mechanics, 66:3 (2002), 371–385
O. N. Kirillov, A. P. Seyranian, “Collapse of Keldysh chains and the stability of non-conservative systems”, Doklady Mathematics, 66:1 (2002), 127–131
85.
O. N. Kirillov, A. P. Seyranian, “A non-smooth optimization problem”, Moscow University Mechanics Bulletin, 57:3 (2002), 1–6
86.
О. Н. Кириллов, А. П. Сейранян, “Об одной негладкой задаче оптимизации”, Вестн. Моск. ун-та. Сер. 1. Матем., мех., 2002, № 3, 29–34
2001
87.
A. P. Seyranian, O. N. Kirillov, “Bifurcation diagrams and stability boundaries of circulatory systems”, Theoretical and Applied Mechanics, 26 (2001), 135–168
88.
O. N. Kirillov, A. P. Seyranian, “Overlapping of frequency curves in non-conservative systems”, Doklady Physics, 46:3 (2001), 184–189
O. N. Kirillov, “Optimization of stability of the flying bar”, Young Scientists Bulletin. Applied Mathematics and Mechanics, 1:1 (1999), 64–78
1998
90.
O. N. Kirillov, A. P. Seyranian, “Optimization of Stability of a Flexible Missile under Follower Thrust”, AIAA Paper 98-4969, 7TH AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization (St. Louis, MO, USA, September 2–4, 1998), AIAA, http://arc.aiaa.org/doi/abs/10.2514/6.1998-4969, 1998, 2063–2073
2024
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