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News
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Standard and helical magnetorotational instability
and MHD dynamo
1. O.N. Kirillov, F. Stefani, Y.
Fukumoto, Instabilities in magnetized rotational flows: A
comprehensive short-wavelength approach. Journal of Fluid Mechanics,
2014 subm., arXiv:1401.8276v1
2. O.N. Kirillov, F. Stefani, Y. Fukumoto, Instabilities of rotational flows in azimuthal magnetic
fields of arbitrary radial dependence.
Fluid Dynamics Research
2013 Vol. 46 No. P.
3. O.N. Kirillov, F. Stefani, Extending the range of the inductionless
magnetorotational
instability.
Physical
Review Letters 2013 Vol. 111 No. 6 P. 061103
4. 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
2012 Vol. 756 No. 83, 6pp.
5. O.N. Kirillov, F. Stefani, WKB thresholds of standard, helical, and
azimuthal magnetorotational instability.
Proceedings
of the International Astronomical Union, 2012 Vol. 8. P.
233-234.
6. O.N. Kirillov, F. Stefani, Standard and helical magnetorotational instability:
How singularities create paradoxical phenomena in MHD. Acta
Applicandae Mathematicae 2012 Vol. 120 No. 1 P. 177-198.
7. O.N. Kirillov, D.E. Pelinovsky, G. Schneider, Paradoxical
transitions to instabilities in hydromagnetic Couette-Taylor flows.
Physical Review E
(Rapid communication) 2011 Vol. 84 No. 6 P. 065301(R)
8. O.N. Kirillov, F. Stefani, Paradoxes of
magnetorotational instability and their geometrical resolution. Physical
Review E 2011. Vol. 84 No. 3 P. 036304
9. Kirillov O.N., Stefani F. On the relation
of standard and helical magnetorotational instability. The
Astrophysical Journal, 2010. Vol. 712 P. 52-68
10. Kirillov O.N., Guenther U., Stefani F. Determining role of Krein signature for
three dimensional Arnold tongues of
oscillatory dynamos. Physical
Review E, 2009. Vol. 79. No. 1 016205
11. Guenther U., Kirillov O.N., Samsonov B.F.,
Stefani F. The spherically - symmetric alpha^2-dynamo and some of its
spectral peculiarities.
Acta
Polytechnica. 2007. Vol. 47 No. 2–3. P. 75-81.
12. Guenther U., Kirillov O.N. A Krein space
related perturbation theory for MHD alpha-2 dynamos and resonant unfolding of
diabolical points. Journal of Physics A: Mathematical and General.
2006. Vol. 39. P. 10057-10076.
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Non-Hermitian physics, exceptional points,
Berry phase, and PT-symmetry
1. O.N. Kirillov. Stabilizing and destabilizing perturbations of PT
-symmetric indefinitely damped systems.
Phil
Trans R Soc A
2013 Vol. 371 P. 20120051
2. O.N. Kirillov, Exceptional and diabolical points in stability
questions.
Fortschritte der Physik - Progress in Physics,
2013 Vol. 61 No. 2-3, P. 205-224
3. O.N. Kirillov, PT-symmetry, indefinite damping and
dissipation-induced instabilities. Physics Letters A
2012 Vol. 376 No. 15 P. 1244-1249.
4. 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 2011.
Vol. 106. No. 15. P. 150403
5. Mailybaev A.A., Kirillov O.N., Seyranian A.P. Berry phase around
degeneracies. Doklady Mathematics.
2006. Vol. 73. No. 1. P. 129-133.
6. Kirillov O.N., Mailybaev A.A., Seyranian A.P. Singularities of energy surfaces under
non-Hermitian
perturbations. Doklady
Physics. 2005. Vol. 50. No. 11. P. 577-582.
7. Mailybaev A.A., Kirillov O.N., Seyranian A.P. Geometric phase around exceptional points. Physical Review A. 2005. Vol.
72., 014104.
8. Kirillov O.N., Mailybaev A.A., Seyranian A.P. Unfolding of eigenvalue surfaces near a diabolic point
due to a complex perturbation. Journal of Physics
A: Mathematical and General. 2005. Vol. 38. No. 24. P.
5531–5546.
9. Seyranian A.P., Kirillov O.N., Mailybaev A.A. Coupling of eigenvalues of complex matrices at diabolic and
exceptional points. Journal of Physics A: Mathematical and General. 2005. Vol. 38. No. 8.
P. 1723-1740.
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Dissipation-induced instabilities and
destabilization paradox
1. O.N. Kirillov, M.L. Overton, Robust stability at the swallowtail
singularity. Frontiers
in Physics, 2013 Vol. 1, No. 24, P. 1-9.
2. O.N. Kirillov, F. Verhulst,
Dissipation-induced instabilities and symmetry.
Acta Mechanica Sinica
2011. Vol. 27. No. 1. P. 2-6.
3. Hoveijn I., Kirillov O.N. Singularities
on the boundary of the stability domain near 1:1-resonance. Journal of
Differential Equations, 2010. Vol. 248 No. 10 P. 2585–2607.
4. Kirillov O.N., Verhulst F. Paradoxes of
dissipation-induced destabilization or who opened Whitney's umbrella? Z. angew. Math. Mech. 2010. Vol. 90, No. 6, P. 462 – 488.
(Editor's choice)
5. Verhulst F, Kirillov O.N., Bottema
opende Whitney’s paraplu, Nieuw Archief voor Wiskunde, 2009. Vol. 5/10, No.4, P.
250-254.
6. Kirillov O.N. Gyroscopic stabilization in
the presence of nonconservative forces. Doklady Mathematics. 2007. Vol. 76. No. 2. P. 780-785.
7. Kirillov O.N. Bifurcation of the roots of the characteristic polynomial
and destabilization paradox in friction induced oscillations. Theoretical
and Applied Mechanics 2007 Volume 34, Issue 2, 87-109.
8. Kirillov O.N. On the stability of
nonconservative systems with small dissipation. Journal
of Mathematical Sciences. 2007. Vol. 145, No. 5. P. 5260-5270.
9. Kirillov O.N. Destabilization paradox due
to breaking the Hamiltonian and reversible symmetry. International Journal of Non-Linear Mechanics. 2007. Vol.
42. No. 1. P. 71-87.
10. Kirillov O.N. Gyroscopic stabilization of
non-conservative systems. Physics Letters A. 2006. Vol. 359. No. 3. P. 204-210.
11. Kirillov O.N., Seyranian A.P. Instability of distributed
nonconservative systems caused by weak
dissipation. Doklady
Mathematics. 2005. Vol. 71. No. 3. P. 470-475.
12. Kirillov O.N., Seyranian A.P. The effect of small internal and external damping on the stability of
distributed non-conservative systems. J.
Appl. Math. Mech. 2005. Vol. 69. No. 4. P. 529-552.
13. Kirillov O.N. A theory of
the destabilization paradox in non-conservative systems. Acta
Mechanica.
2005. Vol. 174. No. 3-4. P. 145-166.
14. Kirillov O.N., Seyranian A.P.
Stabilization and destabilization of a circulatory system by small
velocity-dependent forces. Journal of Sound and
Vibration. 2005. Vol. 283. No. 3-5. P. 781-800.
15. Kirillov O.N. Destabilization paradox. Doklady
Physics. 2004. Vol. 49. No. 4. P. 239-245.
16. Seyranian A.P., Kirillov O.N. Effect of
small dissipative and gyroscopic forces on the stability of
nonconservative systems. Doklady
Physics.
2003. Vol. 48. No. 12. P. 679-684.
17. Kirillov O.N. How do
small velocity-dependent forces (de)stabilize a non-conservative
system? DCAMM Report.
No. 681. April 2003. 40
pages.
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Non-conservative rotor dynamics,
friction-induced instabilities, acoustics of friction and brake squeal
1. O.N. Kirillov, Brouwer’s
problem on a heavy particle in a rotating vessel: wave propagation,
ion traps, and rotor dynamics. Physics Letters A
2011. Vol. 375 P. 1653–1660.
2. O.N. Kirillov, Sensitivity of
sub-critical mode-coupling instabilities in non-conservative rotating
continua to stiffness and damping modifications.
Int. J. Vehicle
Struct. Syst. 2011. Vol. 3. No. 1. P. 1-13.
3. Kirillov O.N. Campbell diagrams of weakly
anisotropic flexible rotors,
Proc.
of the Royal Society A 2009. Vol. 465, No. 2109, P. 2703-2723.
4. Kirillov O.N. Unfolding the conical
zones of the dissipation-induced subcritical flutter for the
rotationally symmetrical gyroscopic systems,
Physics Letters A.
2009. Vol. 373, No. 10, P. 940–945.
5. Kirillov O.N. Perspectives and obstacles
for optimization of brake pads with respect to stability criteria. Int.
J. of Vehicle Design, 2009. Vol. 51, Nos. 1/2, P. 143–167.
6. Kirillov O.N. How to play a disc brake: A
dissipation-induced squeal.
SAE
Int. J. Passeng. Cars - Mech. Syst. 2009. Vol. 1 No. 1, P.
863-876.
7. Spelsberg-Korspeter G., Hochlenert D., Kirillov
O.N.,
Hagedorn P.
In- and out-of-plane vibrations of a rotating plate with frictional
contact: Investigations on squeal phenomena. Trans.
ASME, J. Appl. Mech. 2009. Vol. 76. No. 4, 041006, P. 1-15.
8. Kirillov O.N. Subcritical flutter in the
acoustics of friction. Proceedings
of the Royal Society A 2008. Vol. 464. No. 2097. P. 2321–2339.
9. Spelsberg-Korspeter G., Kirillov O.N.,
Hagedorn P. Modeling and stability analysis of an axially moving beam with frictional
contact. Trans.
ASME, J. Appl. Mech. 2008. Vol. 75. No. 3, 031001 P. 1-10.
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Perturbation of non-self-adjoint boundary
eigenvalue problems
1. Kirillov O.N. Eigenvalue bifurcation in
multiparameter families of non-self-adjoint operator matrices, Z.
angew. Math. Phys. 2010. Vol. 61 No. 2
P. 221-234.
2. Kirillov O.N., Seyranian A.P. Collapse of
the Keldysh chains and stability of continuous non-conservative
systems. SIAM Journal
on Applied Mathematics.
2004. Vol. 64. No. 4. P. 1383-1407.
3. Kirillov O.N., Seyranian A.P. Collapse of Keldysh chains and
the stability of non-conservative systems. Doklady Mathematics.
2002. Vol. 66. No. 1. P. 127-131.
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Stability and parametric optimization of
circulatory systems
1. O.N. Kirillov, N. Challamel, F.
Darve, J. Lerbet, F. Nicot, Singular divergence instability thresholds
of kinematically constrained circulatory systems.
Physics
Letters A, 2014 Vol. 378 P. 147-152
2. J. Lerbet, M. Aldowaji, N.
Challamel, O.N. Kirillov, F. Nicot, F. Darve, Geometric degree of non-conservativity.
Mathematics
and Mechanics of Complex Systems, 2013
3. 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, 2013 Vol. 50. P. 363–370
4. O. N. Kirillov, Singularities in
Structural Optimization of the Ziegler Pendulum,
Acta
Polytechnica
2011. Vol. 51. No. 4. P. 32-43.
5. Kirillov O.N., Seyranian A.P. Solution to
the Herrmann-Smith problem.
Doklady Physics.
2002. Vol. 47. No. 10. P. 767-771.
6. Kirillov O.N., Seyranian A.P.
Metamorphoses of characteristic curves in circulatory systems. J.
Appl. Math. Mech. 2002. Vol. 66. No. 3. P. 371-385.
7. Kirillov O.N., Seyranian A.P. A non-smooth optimization problem.
Moscow University Mechanics Bulletin. 2002. Vol. 57. No. 3. P.
1-6.
8. Seyranian A.P., Kirillov O.N. Bifurcation diagrams and stability
boundaries of circulatory systems. Theoretical and Applied
Mechanics.
2001. Vol. 26. P. 135-168.
9. Kirillov O.N., Seyranian A.P. Overlapping of frequency curves in
non-conservative systems. Doklady Physics.
2001. Vol. 46. No. 3. P.
184-189.
10. Kirillov O.N. Optimization of stability of
the flying bar. Young
Scientists Bulletin. Appl. Maths Mechs. 1999. Vol. 1 No.1
P. 64-78.
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2006-2007
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Alexander von Humboldt Research Fellow,
Technical University of Darmstadt, Germany |
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2005-2006
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Alexander von Humboldt Research Fellow,
University
of Hannover, Germany |
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Jul. 10-12, 2005
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Visiting researcher at the Forschungszentrum
Rossendorf,
Dresden, Germany |
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Sep. 2004
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Visiting researcher at the University
of Belgrade, Serbia and Montenegro |
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Sep. 2004
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Visiting researcher at the University of Novi
Sad, Serbia
and Montenegro |
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July 2004
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Visiting researcher at the Department
of Mechanical Engineering, Solid Mechanics,
Technical University of Denmark, Lyngby, Denmark. |
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July 2004
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Visiting researcher at the Institute of Mechanics of the
University of Hannover, Germany |
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Nov.-Dec. 2003
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Visiting researcher at the Dalian
University of Technology, China |
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Nov.
2002
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Visiting researcher at the KTH-Royal
Institute of Technology,
Stockholm,
Sweden |
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Oct.-Nov. 2002
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Visiting researcher at the Department
of Mechanical Engineering, Solid Mechanics,
Technical University of Denmark, Lyngby, Denmark. |
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Sep. 2-6. 2002
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Visiting researcher at the Dalian
University of Technology, China |
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Feb.-Mar. 2002
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Visiting researcher at the Department
of Mechanical Engineering, Solid Mechanics,
Technical University of Denmark, Lyngby, Denmark. |
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Sept.-Oct. 2000
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Visiting researcher at the Dalian
University of Technology, China |
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1999-pres. |
Senior Scientist, Institute of
Mechanics, Moscow State Lomonosov University |
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1996-1997 |
Graduate, Laboratory of Applied Mechanics,
Faculty of Mechanics and Mathematics, Moscow State Lomonosov University |
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1995-1996 |
Engineer-Mathematician, S.P.
Korolev Rocket & Space Corporation Energia |
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Copyright ã
2001-2008 by Oleg & Ksenia Kirillov |
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