



O.N.
Kirillov, F. Stefani, Y. Fukumoto, Instabilities in magnetized
rotational flows: A comprehensive shortwavelength approach. Journal
of Fluid Mechanics, 2014 subm., arXiv:1401.8276v1,
(PDF)

O.N.
Kirillov, F. Stefani, Y. Fukumoto, Instabilities of rotational flows
in azimuthal magnetic fields of arbitrary radial dependence.
Fluid
Dynamics Research 2014 Vol. 46 No. P.

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. 147152

J.
Lerbet, M. Aldowaji, N. Challamel, O.N. Kirillov, F. Nicot, F. Darve,
Geometric degree of nonconservativity.
Mathematics
and Mechanics of Complex Systems, 2013

O.N. Kirillov, M.L. Overton, Robust
stability at the swallowtail singularity. Frontiers
in Physics, 2013 Vol. 1, No. 24, P. 19. (PDF)

O.N.
Kirillov, F. Stefani, Extending the range of the inductionless magnetorotational
instability.
Physical
Review Letters 2013 Vol. 111 No. 6 P. 061103
(PDF)

O.N.
Kirillov. Stabilizing and destabilizing perturbations of PT symmetric
indefinitely damped systems.
Phil
Trans R Soc A
2013 Vol. 371 P. 20120051 (PDF)

J.
Lerbet, O. Kirillov, M. Aldowaji, N. Challamel, F. Nicot, F. Darve,
Additional constraints may soften a nonconservative structural
system: Buckling and vibration analysis.
International
Journal of Solids and Structures, 2013 Vol. 50. P. 363–370
(PDF)

O.N. Kirillov, Exceptional and diabolical
points in stability questions.
Fortschritte der Physik  Progress in Physics,
2013 Vol. 61 No. 23, P. 205224 (PDF)

O.N. Kirillov, F. Stefani, WKB thresholds
of standard, helical, and azimuthal magnetorotational
instability. Proceedings
of the International Astronomical Union, 2012 Vol. 8. P.
233234. (PDF)

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) (PDF)

O.N. Kirillov, PTsymmetry, indefinite
damping and dissipationinduced instabilities. Physics Letters A
2012
Vol. 376. No. 15 P. 12441249 (PDF)

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. 177198. (PDF)

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) 16531660]
Physics Letters A
2012 Vol 376 P. 665–666 (PDF)

O.N. Kirillov, D.E. Pelinovsky, G.
Schneider, Paradoxical transitions to instabilities in hydromagnetic
CouetteTaylor flows. Physical Review E
(Rapid communication) 2011 Vol. 84 No. 6 P. 065301(R) (PDF)

O.N. Kirillov, F. Stefani, Paradoxes of
magnetorotational instability and their geometrical resolution.
Physical
Review E 2011. Vol. 84 No. 3 P. 036304 (PDF)

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. (PDF)

B. Dietz, H. L. Harney,
O.N. Kirillov, M. MiskiOglu, A. Richter, F. Schaefer, Exceptional
Points in a Microwave Billiard with TimeReversal Invariance Violation.
Physical Review Letters 2011.
Vol. 106. No. 15. P. 150403 (PDF)

O.N. Kirillov, F. Verhulst,
Dissipationinduced instabilities and symmetry.
Acta Mechanica Sinica
2011. Vol. 27. No. 1. P. 26. (PDF)

O. N. Kirillov, Singularities in
Structural Optimization of the Ziegler Pendulum,
Acta
Polytechnica
2011. Vol. 51 No. 4 P. 3243. (PDF)

O.N. Kirillov, Sensitivity of
subcritical modecoupling instabilities in nonconservative rotating
continua to stiffness and damping modifications.
Int. J. Vehicle
Struct. Syst. 2011. Vol. 3. No. 1. P. 113. (PDF)

Kirillov O.N., Stefani F. On the relation
of standard and helical magnetorotational instability.
The
Astrophysical Journal, 2010. Vol. 712 P. 5268 (PDF)

Hoveijn I., Kirillov O.N. Singularities
on the boundary of the stability domain near 1:1resonance.
Journal of
Differential Equations, 2010. Vol. 248 No. 10 P. 2585–2607 (PDF)

Kirillov O.N., Verhulst F. Paradoxes of
dissipationinduced destabilization or who opened Whitney's umbrella?
Z. angew. Math. Mech. 2010. Vol. 90, No. 6, P. 462 – 488 (PDF) 
Editor's choice

Kirillov O.N. Eigenvalue bifurcation in
multiparameter families of nonselfadjoint operator matrices,
Z.
angew. Math. Phys. 2010. Vol. 61 No. 2
P. 221234 (PDF)

Verhulst F, Kirillov O.N., Bottema
opende Whitney’s paraplu,
Nieuw Archief voor Wiskunde, 2009. Vol. 5/10, No.4, P.
250254. (PDF) Cover
(Original article by Oene Bottema "The
RouthHurwitz condition for the biquadratic equation", Indagationes
Mathematicae, 18 (1956), 403406 (PDF))

Kirillov O.N. Campbell diagrams of weakly
anisotropic flexible rotors,
Proc.
of the Royal Society A 2009. Vol. 465, No. 2109, P. 27032723 (PDF)

Kirillov O.N. Unfolding the conical
zones of the dissipationinduced subcritical flutter for the
rotationally symmetrical gyroscopic systems,
Physics Letters A.
2009. Vol. 373, No. 10, P. 940–945. (PDF)

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 (PDF)

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 (PDF)
Selected
for PRE Kaleidoscope

Kirillov O.N. How to play a disc brake: A
dissipationinduced squeal.
SAE
Int. J. Passeng. Cars  Mech. Syst. 2009. Vol. 1 No. 1, P.
863876. (PDF)

SpelsbergKorspeter G., Hochlenert D., Kirillov
O.N.,
Hagedorn P.
In and outofplane vibrations of a rotating plate with frictional
contact: Investigations on squeal phenomena.
Trans.
ASME, J. Appl. Mech. 2009. Vol. 76. No. 4, 041006, P. 115, (PDF)

Kirillov O.N. Subcritical flutter in the
acoustics of friction.
Proceedings
of the Royal Society A 2008. Vol. 464. No. 2097. P. 2321–2339
(PDF)

SpelsbergKorspeter 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. 110. (PDF,
Top10).

Kirillov O.N. Gyroscopic stabilization in
the presence of nonconservative forces.
Doklady Mathematics. 2007. Vol. 76. No. 2. P. 780785. (PDF). [Zentralblatt]

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, 87109 (PDF). [Math. Reviews, Zentralblatt]

Kirillov O.N. On the stability of
nonconservative systems with small dissipation. Journal
of Mathematical Sciences. 2007. Vol. 145, No. 5. P. 52605270.
(PDF)
[Zentralblatt]

Kirillov O.N. Destabilization paradox due
to breaking the Hamiltonian and reversible symmetry.
International Journal of NonLinear Mechanics. 2007. Vol.
42. No. 1. P. 7187. (PDF). [Math.
Reviews]

Guenther U., Kirillov O.N., Samsonov B.F.,
Stefani F. The sphericallysymmetric alpha^2dynamo and some of its
spectral peculiarities.
Acta
Polytechnica. 2007. Vol. 47 No. 2–3. P. 7581. (PDF).

Kirillov O.N. Gyroscopic stabilization of
nonconservative systems.
Physics Letters A. 2006. Vol. 359. No. 3. P. 204210. (PDF).
[Zentralblatt]

Guenther U., Kirillov O.N. A Krein space
related perturbation theory for MHD alpha2 dynamos and resonant unfolding of
diabolical points.
Journal of Physics A: Mathematical and General.
2006. Vol. 39. P. 1005710076. (PDF).
[Math. Reviews,
Zentralblatt]

Mailybaev A.A., Kirillov O.N., Seyranian
A.P. Berry phase around degeneracies. Doklady Mathematics.
2006. Vol. 73. No. 1. P. 129133. (PDF)
[Math. Reviews,
Zentralblatt]

Kirillov O.N., Mailybaev A.A., Seyranian
A.P. Singularities of energy surfaces under nonHermitian
perturbations.
Doklady
Physics. 2005. Vol. 50. No. 11. P. 577582. (PDF)
[Math. Reviews, Zentralblatt]

Mailybaev A.A., Kirillov O.N., Seyranian
A.P. Geometric phase around exceptional points.
Physical Review A. 2005. Vol.
72., 014104. (PDF)

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. (PDF). [Math.
Reviews, Zentralblatt]

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. 17231740. (PDF). [Math.
Reviews, Zentralblatt]

Kirillov O.N., Seyranian A.P. Instability of distributed
nonconservative systems caused by weak
dissipation.
Doklady
Mathematics. 2005. Vol. 71. No. 3. P. 470475. (PDF).
[Math. Reviews, Zentralblatt]

Kirillov O.N., Seyranian A.P. The effect of small internal and external damping on the stability of
distributed nonconservative systems.
J.
Appl. Math. Mech. 2005. Vol. 69. No. 4. P. 529552. (PDF).
[Math. Reviews, Zentralblatt]

Kirillov O.N. A theory of
the destabilization paradox in nonconservative systems.
Acta
Mechanica.
2005. Vol. 174. No. 34. P. 145166. (PDF). [Zentralblatt]

Kirillov O.N., Seyranian A.P.
Stabilization and destabilization of a circulatory system by small
velocitydependent forces.
Journal of Sound and
Vibration. 2005. Vol. 283. No. 35. P. 781800. (PDF).
[Math. Reviews].

Kirillov O.N. Destabilization paradox.
Doklady
Physics.
2004. Vol. 49. No. 4. P. 239245. (PDF).
[Math. Reviews]

Kirillov O.N., Seyranian A.P. Collapse of
the Keldysh chains and stability of continuous nonconservative
systems.
SIAM Journal
on Applied Mathematics.
2004. Vol. 64. No. 4. P. 13831407. (PDF).
[Math. Reviews,
Zentralblatt]

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. 679684. (PDF).
[Math. Reviews]

Kirillov O.N., Seyranian A.P. Solution to
the HerrmannSmith problem.
Doklady Physics.
2002. Vol. 47. No. 10. P. 767771. (PDF).
[Math. Reviews]

Kirillov O.N., Seyranian A.P.
Metamorphoses of characteristic curves in circulatory systems.
J.
Appl. Math. Mech. 2002. Vol. 66. No. 3. P. 371385. (PDF).
[Math. Reviews, Zentralblatt]

Kirillov O.N., Seyranian A.P. Collapse of Keldysh chains and
the stability of nonconservative systems.
Doklady Mathematics.
2002. Vol. 66. No. 1. P. 127131. (PDF). [Math.
Reviews,
Zentralblatt]

Kirillov O.N., Seyranian A.P. A nonsmooth optimization problem.
Moscow University Mechanics Bulletin. 2002. Vol. 57. No. 3. P.
16. (PDF). [Math. Reviews, Zentralblatt]

Seyranian A.P., Kirillov O.N. Bifurcation diagrams and stability
boundaries of circulatory systems.
Theoretical and Applied
Mechanics.
2001. Vol. 26. P. 135168. (PDF). [Math.
Reviews]

Kirillov O.N., Seyranian A.P. Overlapping of frequency curves in
nonconservative systems.
Doklady Physics.
2001. Vol. 46. No. 3. P.
184189. (PDF). [Math.
Reviews]

Kirillov O.N. Optimization of stability of
the flying bar.
Young
Scientists Bulletin. Appl. Maths Mechs. 1999. Vol. 1 No.1
P. 6478. (PDF).




B. Dietz, H. L. Harney,
O. N. Kirillov, M. MiskiOglu, A. Richter, F. Schaefer, Exceptional
Points in a Microwave Billiard with TimeReversal Invariance Violation.
Preprint arXiv:1008.2623,
30 Nov 2010

Oleg N. Kirillov, Frank
Stefani, Paradoxes of magnetorotational instability and their
geometrical resolution. arXiv:1104.0677,
4 Apr 2011

Kirillov O.N. Brouwer’s
problem on a heavy particle in a rotating vessel: wave propagation,
ion traps, and rotor dynamics. Preprint arXiv:1012.0892
4 Dec 2010

Kirillov Oleg N.,
Verhulst Ferdinand. Paradoxes of dissipationinduced destabilization
or who opened Whitney's umbrella? Preprint arXiv:0906.1650

Kirillov O.N. Campbell
diagrams of weakly anisotropic flexible rotors. Preprint arXiv:0902.0784v2
[mathph] 9 Jun 2009

Kirillov O.N., Unfolding the conical
zones of the dissipationinduced subcritical flutter for the
rotationally symmetrical gyroscopic systems
Preprint arXiv:0809.3531
[mathph] 20 Sep 2008.

O.N. Kirillov, U.
Guenther, F. Stefani. Determining role of Krein signature for 3D
Arnold tongues of oscillatory dynamos.
Preprint arXiv:0806.1251v1
[mathph] 7 Jun 2008.

O.N. Kirillov.
Perturbation of multiparameter nonselfadjoint boundary eigenvalue
problems for operator matrices.
Preprint arXiv:0803.2248v2
[mathph] 14 Mar 2008.

O.N. Kirillov. How to Play a Disc
Brake.
Preprint arXiv:0708.0967v2 [mathph]
7 Aug 2007.

SpelsbergKorspeter G., Kirillov
O.N.,
Hagedorn P. Modelling and stability analysis of an axially moving beam with frictional
contact. TU Darmstadt  UC Berkeley ESeminar on Applied Mechanics and Engineering
Science. February 16, 2007. (PDF)

Guenther U., Kirillov O.N., Samsonov
B.F.,
Stefani F. The sphericallysymmetric alpha^2dynamo and some of its
spectral peculiarities.
Preprint arXiv:mathph/0703041, 2007. (PDF)

Kirillov O.N. Destabilization paradox due
to breaking the Hamiltonian and reversible symmetry.
TU Darmstadt  UC Berkeley ESeminar on Applied Mechanics and Engineering
Science. July 10, 2006. (PDF)

Kirillov O.N., Guenther
U. Krein space related perturbation theory for MHD alpha2 dynamos and
resonant unfolding of diabolical points.
Preprint arXive:mathph/0602013,
2006. (PDF)

Mailybaev A.A., Kirillov
O.N., Seyranian A.P. Geometric phase around exceptional points.
Preprint arXive:quantph/0501040,
2005.

Kirillov O.N., Mailybaev
A.A., Seyranian A.P. Unfolding of eigenvalue surfaces near a diabolic point
due to a complex perturbation.
Preprint arXive:mathph/0411006,
2004.

Mailybaev A.A., Kirillov
O.N., Seyranian A.P. Coupling of eigenvalues of complex matrices at diabolic and
exceptional points.
Preprint arXive:mathph/0411024,
2004.

Kirillov O.N. How do
small velocitydependent forces (de)stabilize a nonconservative
system?
DCAMM Report.
No. 681. April 2003. 40
pages. (PDF)

Seyranian A.P., Mailybaev
A.A., Kirillov O.N. Multiparameter stability problems.
Moscow State Lomonosov Univ., Institute of Mechanics. Technical Report
# 4706. 2003. 30 p.

Kirillov O.N., Seyranian
A.P. Collapse of
the Keldysh Chains
and Stability of Continuous NonConservative Systems. DCAMM
Report. No. 671. April 2002. 42 pages. (PDF)

Kirillov O.N., Seyranian
A.P. On the Stability
Boundaries of Circulatory Systems.
Moscow State Lomonosov Univ.,
Preprint of the Institute of Mechanics. No. 5199. 1999. 60 pages.




O.N. Kirillov, Revisiting structural
optimization of the Ziegler pendulum: singularities and exact optimal
solutions 2011
PAMM Special Issue: 82nd Annual Meeting of the International
Association of Applied Mathematics and Mechanics (GAMM), Graz 2011;
Editors: G. Brenn, G.A. Holzapfel, M. Schanz and O. Steinbach,Volume
11, Issue 1, pages 717–718. (PDF)

O.N. Kirillov, F. Stefani, Singularities
on the boundaries of magnetorotational instabilities and scaling laws 2011
PAMM Special Issue: 82nd Annual Meeting of the International
Association of Applied Mathematics and Mechanics (GAMM), Graz 2011;
Editors: G. Brenn, G.A. Holzapfel, M. Schanz and O. Steinbach,Volume
11, Issue 1, pages 655–656. (PDF)

O.N. Kirillov, How Does Krein Signature
Determine Veering and Crossing of Eigencurves of NonConservative
Rotating Continua? ICNAAM 2010: International Conference of Numerical
Analysis and Applied Mathematics 2010, 19–25 September 2010, Rhodes
(Greece), AIP Conference
Proceedings, 1281: 14201423 (PDF)

F. Verhulst, O.N. Kirillov, Instabilities
induced by dissipation, 10th
Conference on Dynamical Systems Theory and Applications, December
710, 2009. Lodz, Poland (PDF)

O.N. Kirillov, F. Verhulst, Sensitivity
analysis of dissipative reversible and Hamiltonian systems: a survey,
ASME International Mechanical Engineering Congress and Exposition,
Symposium on Stability, Structural Reliability and Random Vibrations,
November 1319, 2009, Lake Buena Vista, FL, USA, Proceedings paper
IMECE200910449. (PDF)

O.N. Kirillov, Untwisting the Campbell
diagrams of weakly anisotropic rotor systems, Journal of Physics: Conference Series 181 (2009) 012023,
7th International Conference on Modern Practice in Stress and
Vibration Analysis, 810 September 2009, Murray Edwards College,
Cambridge, UK (PDF).

Kirillov O.N. Perturbation of eigenvalues
in multiparameter families of nonselfadjoint operator matrices. Physics
and Control 2009, September 14, 2009, Catania, Italy. (PDF)

Kirillov O.N. Singular features of
traveling wave propagation in rotating elastic bodies of revolution in
frictional contact. CDROM Proceedings of ICSV16, Kraków, Poland, 59 July 2009
(PDF)

Kirillov O.N. Sensitivity analysis of
Hamiltonian and reversible systems prone to dissipationinduced
instabilities. in: 'Matrix methods: theory, algorithms,
applications', E. Tyrtyshnikov and V. Olshevsky,
eds. Procedings of the 2nd International Conference on matrix
methods and operator equations, July 2327, 2007, Moscow, Russia.
World Scientific. 2009. P. 3168. (PDF).

O.N. Kirillov. Dissipationinduced subcritical flutter in the
acoustics of friction, Proc. Appl. Math. Mech.
Vol. 8(1). 2008
P. 10685–10686 (PDF)

U. Gunther, O.N. Kirillov. Homotopic
deformation of the Arnold's tongues for the MHD 2dynamo, Proc. Appl.
Math. Mech. Vol. 8(1). 2008 P. 10719–10720 (PDF)

O.N. Kirillov. Sensitivity analysis of
gyroscopic and circulatory systems prone to dissipationinduced
instabilities. Proceedings of MOVIC
2008  The International Conference on Motion and Vibration Control,
1518 September 2008, Munich, Germany. (PDF).

O.N. Kirillov. Subcritical flutter in the
acoustics of friction of the spinning rotationally symmetric elastic
continua. Proceedings of ISMA
2008  International Conference on Noise and Vibration Engineering.
1517 September 2008, Leuven, Belgium. Editors: P. Sas, B. Bergen, P.
29772992. (PDF)

O.N. Kirillov. Subcritical flutter in the
problems of acoustics of friction. Paper 10157 in the CDROM
Proceedings of XXIInd
International Congress of Theoretical and Applied Mechanics. ISBN
97809805142106. August 2529, Adelaide, Australia (PDF)

O.N. Kirillov. How to Play a Disc Brake:
A DissipationInduced Squeal. SAE Paper 2008011160,
In: Noise and Vibration, 2008, SP2158, SAE World Congress and Exhibition, April 1417 2008, Detroit, MI,
USA. P. 167180. (PDF)

Kirillov O.N. Stabilization and
destabilization in nonconservative gyroscopic systems Proc.
Appl. Math. Mech. Vol. 7(1). 2007. P.
40500014050002 (PDF)

Guenther U., Kirillov O.N.
Asymptotic methods for spherically symmetric MHD alpha^2dynamos.
Proc.
Appl. Math. Mech. Vol. 7(1). 2007. P.
4140023–4140024 (PDF)

Kirillov O.N. Gyroscopic stabilization in
presence of nonconservative forces. Proceedings of the 12th
IFToMM World Congress in Mechanism and Machine Science, Besancon, June 1821, 2007,
P. (PDF)

Kirillov O.N., Guenther U. On Krein space
related perturbation theory for MHD alpha2 dynamos.
Proc.
Appl. Math. Mech. Vol. 6(1). 2006.
P. 637638. (PDF)

Kirillov O.N., Seyranian A.P. Effect of
small internal and external damping on the stability of continuous
nonconservative systems. Proceedings CDROM of the ENOC2005,
Eindhoven, The Netherlands, 712 August 2005. P. 24282436. (PDF)

Kirillov O.N., Mailybaev A.A., and
Seyranian A.P. On eigenvalue surfaces near a diabolic point. Proceedings
of the International Conference "Physics and Control".
St.Petersburg. Russia. August 2426. 2005. P. 319325 (PDF)

Mailybaev A.A., Kirillov O.N., and
Seyranian A.P.. Strong and weak coupling of eigenvalues of complex
matrices. Proceedings of the International Conference "Physics
and Control". St.Petersburg. Russia. August 2426. 2005.
P. 312318. (PDF)

Kirillov O.N. Sensitivity analysis of the
roots of the characteristic polynomial and stability of
nonconservative systems. Proceedings of the International
Conference "Physics and Control". St.Petersburg. Russia.
August 2426. 2005. P. 206211. (PDF)

Kirillov O.N. Seyranian A.P. Dissipation
induced instabilities in continuous nonconservative systems.
Proc.
Appl. Math. Mech.
Vol. 5(1). 2005. P. 9798. (PDF)

Kirillov O.N. An Analytical Theory of the
Destabilization Paradox in NonConservative Systems. In: COMPUTATIONAL
MECHANICS; Proceedings CDROM of the Sixth World Congress on Computational
Mechanics in conjunction with APCOM’04, Sept. 510, 2004, Beijing,
China.
2004 Tsinghua University Press & SpringerVerlag. (PDF).

Kirillov O.N. Stabilizing and
destabilizing effect of small velocitydependent forces on
nonconservative systems: new results. Proc.
Appl. Math. Mech.
Vol. 4(1). 2004.
P. 9596. (PDF)

Kirillov O.N. Collapse of Keldysh chains
and stability boundaries of nonconservative systems.
Proc. Appl. Math. Mech.
Vol.
2(1). 2003. P. 9293.
(PDF).

Kirillov O.N. How do small
velocitydependent forces (de)stabilize a nonconservative system?
Proceedings of the International Conference "Physics and Control".
St.Petersburg. Russia.
August 2022. 2003. Vol. 4. P. 10901095. (PDF).

Kirillov O.N., Seyranian A.P. Overlapping
of Characteristic Curves and Optimization of Nonconservative Systems. Proceedings
of the 15th Nordic Seminar on Computational
Mechanics. Aalborg. Denmark. Edited by E. Lund, N. Olhoff, J.
Stegmann. 2002. P.
227228. (PDF)

Kirillov O.N., Seyranian A.P.
Metamorphoses of Characteristic curves and Optimization
of Nonconservative Systems. Proceedings of XXX Summer School APM'2002.
June 27  July 6, 2002. St. Petersburg (Repino), Russia. P. 342347.

Kirillov O.N., Seyranian A.P. Bifurcation
of Eigenvalues of Nonselfadjoint Differential Operators in
Nonconservative Stability Problems. Paper no. OMAE200228076, ASME
2002 21st International Conference on Offshore Mechanics and Arctic
Engineering (OMAE2002) June 23–28, 2002 , Oslo, Norway, P.
3137. (PDF)

Kirillov O.N., Seyranian A.P. Bifurcation of eigenvalues of
nonselfadjoint differential operators with an application to
mechanical problems.
Proceedings of the Seminar "Time, Chaos and
Mathematical Problems". Eds.: R.I. Bogdanov and A.S. Pechentsov.
2000. Vol. 2. P. 217240.

Kirillov O.N., Seyranian A.P. Optimality conditions in
nonconservative stability problems. Topology optimization of
structures and composite continua.
In NATO Science Series II:
Mathematics, Physics, and Chemistry. Edited by G.I.N. Rozvany and N.
Olhoff. 2000. Vol. 7. P. 363365. Kluwer Academic Publishers,
Dordrecht / Boston / London.

Kirillov O.N., Seyranian A.P. Optimization of Stability of a Flying
Column.
3rd World Congress of Structural and Multidisciplinary
Optimization. Buffalo. New York (USA). May 1721, 1999. Short paper
proceedings. Vol. 2. P. 355357. (PDF)

Kirillov O.N., Seyranian A.P. Optimization of Stability of a
Flexible Missile under Follower Thrust.
7th AIAA/USAF/NASA/ISSMO
Symposium on Multidisciplinary Analysis and Optimization. St.Louis.
Missouri (USA). September 24. 1998. AIAA Paper
#984969. P.
20632073. (PDF)




J. Lerbet, N. Challamel, F. Darve, O.
Kirillov, F. Nicot, Stabilite
des systemes non conservatifs et algebre lineaire, Congres
Francais de Mechanique, Bordeaux, 2630 August, 2013

Kirillov Oleg N., Frank Stefani, Yasuhide
Fukumoto, WKB instability thresholds of the magnetized cylindrical
CouetteTaylor flow in helical magnetic fields, IUTAM 2013 Symposium
on vortex dynamics, Fukuoka, Japan (PDF)

Oleg Kirillov, Frank Stefani, Uwe
Guenther, How to excite oscillating modes in the kinematic meanfield
alpha2dynamo: A Krein spacerelated perturbation approach, Les
Houches 2013 Winter school ``Waves and Instabilities in Geophysical
and Astrophysical Flows'', Les Houches, France (PDF)

O.N. Kirillov, Dissipationinduced
subcritical flutter in acoustics of friction. GAMM 2008, March 31 
April 4, Bremen, Germany

U. Guenther, O.N. Kirillov, Homotopic
deformations of the Arnold tongue patterns in the MHD a^{2}dynamo
spectrum. GAMM 2008, March 31  April 4, Bremen, Germany

O.N. Kirillov, How to play a disc brake.
Abstracts of the BIRS 07w5068 Workshop "Geometric Mechanics:
Continuous and Discrete, finite and infinite dimensional", August
1217, 2007, Banff, Canada.

O.N. Kirillov, Stabilizing and
destabilizing effect of breaking the Hamiltonian and reversible
symmetry. Abstracts of the 2nd International Conference on matrix
methods and operator equations, July 2327, 2007. Institute of
Numerical Mathematics, Russian Academy of Sciences. Moscow, Russia. P.
4142.

O.N. Kirillov. Gyroscopic stabilization
and destabilization in nonconservative systems.
Abstracts for ICIAM07, July 1620, 2007, Zurich, Switzerland, P.
6263.

U. Guenther, O.N. Kirillov. Asymptotic
methods for spherically symmetric MHD alpha^2 dynamo.
Abstracts for ICIAM07, July 1620, 2007, Zurich, Switzerland, P. 125.

O.N. Kirillov, P. Hagedorn, G.
SpelsbergCorspeter, U. Guenther. Bifurcation of eigenvalues of
nonselfadjoint boundary value problems of mechanics and MHD.
International Conference "Modern Analysis and Applications MAA
2007" dedicated to the centenary of Mark Krein. Odessa,
Ukraine,
April 914, 2007. Book of abstracts. P. 71.

U. Guenther, F. Stefani, O.N. Kirillov.
The spherically symmetric \alpha2dynamo, resonant unfolding of
diabolical points and thirdorder exceptional points in Krein space
related setups. DI
Microconference Analytic and algebraic methods in physics,
February 20, 2007, Villa Lanna, Prague, Czech Republic.

O.N. Kirillov, U. Guenther. Resonance
effects in MHD alpha2 dynamos. Abstracts of the 9th MHD days
2006,
45 December, MaxPlanck Institute for Astronomy, Heidelberg, Germany.
P. 1213.

O.N. Kirillov, U. Guenther. Krein space
related perturbation theory for MHD alpha2 dynamo and resonant
unfolding of diabolical points. International Summer School and Workshop
Operator Algebras, Operator
Theory and Applications  WOAT 2006, Instituto Superior
Tecnico, Universidade Tecnica de Lisboa, Portugal, 15 September,
2006.

O.N. Kirillov, U. Guenther. Krein space
related perturbation theory for MHD alpha2 dynamos and resonant
unfolding of diabolical points. Abstracts of the ICM
2006, 2230
August, Madrid, Spain. P. 444445.

G. SpelsbergKorspeter, D. Hochlenert, O.
N. Kirillov, P. Hagedorn. Modelling and nonlinear analysis of break
squeal  selfexcited vibrations in moving continua. Abstracts of the
11th Conference on Nonlinear Vibrations, Stability, and Dynamics of
Structures. August 1317, 2006. Blacksburg, VA, USA.

U. Guenther, O.N. Kirillov, F. Stefani, M.
Znojil. Three models of Kreinspace related physics: PT symmetric
Quantum Mechanics, Squire equation and the alpha2 dynamo. 17th International Workshop on Operator Theory and
Applications.
Research Institute of Mathematics, Seoul National University, Korea,
July 31  August 3, 2006.

O.N. Kirillov, A.A. Mailybaev, and A.P.
Seyranian. Unfolding of eigenvalue surfaces near a diabolic point due
to a complex perturbation. Joint GAMMSIAM Conference on Applied
Linear Algebra. July 2427. 2006. Duesseldorf, Germany. Book of
abstracts. P. 105.

O.N. Kirillov. Tippe Top inversion and EPs.
5th International Workshop
on PseudoHermitian Hamiltonians in Quantum Physics. 38 July. 2006.
Bologna. Italy.

U. Guenther, O.N. Kirillov. New results on the spectrum of the MHD
alpha2 dynamo and on Jordan algebrs related canonical structures of
PTsymmetric matrices. 5th International Workshop on PseudoHermitian
Hamiltonians in Quantum Physics. 38 July. 2006. Bologna. Italy.

Seyranian A.P., Mailybaev A.A., Kirillov
O.N. Multiparameter stability theory with mechanical applications.
IXth International Simposium "Stability and oscillations in
nonlinear control systems", Institute of Control Sciences RAS,
May 31  June 2, 2006. (invited lecture).

Seyranian A.P., Mailybaev A.A., Kirillov
O.N. Bifurcation of eigenvalues. Modern physical problems. 3rd International
Conference: Chebyshev's Mathematical Ideas and
Applications to the Modern Science. Obninsk State University, May
1418, Obninsk, Russia.

Kirillov O.N., Guenther U. Krein space
related perturbation theory for MHD alpha2 dynamos. Book of Abstracts
of the 77th Annual Scientific Conference
GAMM. (March 2731, 2006,
Berlin). P. 368369.

Kirillov O.N., Seyranian A.P. Effect of
small internal and external damping on the stability of continuous
nonconservative systems. 5th EUROMECH Nonlinear Dynamics
Conference.
Eindhoven University of Technology. August 712, 2005. Book of
abstracts. P. 321.

Kirillov O.N, Guenther U. Perturbation
theory for nonselfadjoint operator matrices and its application to
the MHD alpha2 dynamo. Abstracts of the 4th International Workshop on
PseudoHermitian Hamiltonians in Quantum Physics, University of
Stellenbosch, Western Cape, South Africa, November 2325, 2005.

Mailybaev A.A., Kirillov O.N. Berry phase
around EP and DP degeneracies of nonHermitian Hamiltonians. Abstracts
of the 4th International Workshop on PseudoHermitian Hamiltonians in
Quantum Physics, University of Stellenbosch, Western Cape, South
Africa, November 2325, 2005.

Guenther U., Kirillov O.N., Stefani F.
Bundle stratification of PTsymmetric 4x4 matrix systems and 4th order
spectral branch points of MHD alpha2 dynamo. Abstracts of the 4th
International Workshop on PseudoHermitian Hamiltonians in Quantum
Physics, University of Stellenbosch, Western Cape, South Africa,
November 2325, 2005.

Kirillov O.N. Bifurcation of the roots of
the characteristic polynomial and destabilization paradox in
nonconservative systems. Alexander von Humboldt Einfuehrungstagung.
Mainz. 1315 Oktober 2005. Abstracts. P. 48.

Kirillov O.N. Bifurcation of the roots of
the characteristic polynomial and destabilization paradox.
International Simposium on Nonconservative and Dissipative Problems in
Mechanics. 1114 September 2005. Novi Sad. Serbia. Serbian Academy of
Arts and Sciences. Book of abstracts. P. 20.

Kirillov O.N., Mailybaev A.A., Seyranian
A.P. Unfolding of eigenvalue surfaces near a diabolic point due to a
nonHermitian perturbation. Abstracts of the
3rd International Workshop on PseudoHermitian Hamiltonians in Quantum
Physics. Koc University, Istanbul, June 2022, 2005.

Mailybaev A.A., Kirillov O.N., Seyranian
A.P. Geometric phase around exceptional points. Abstracts
of the 3rd International Workshop on PseudoHermitian Hamiltonians in
Quantum Physics. Koc University, Istanbul, June 2022, 2005.

Seyranian A.P., Kirillov O.N., Mailybaev
A.A. Coupling of eigenvalues of complex matrices at diabolic and
exceptional points. Abstracts of the 3rd
International Workshop on PseudoHermitian Hamiltonians in Quantum
Physics. Koc University, Istanbul, June 2022, 2005.

Kirillov O.N., Seyranian A.P. Dissipation
Induced Instabilities in Continuous NonConservative Systems. 76th
Annual Scientific Conference GAMM 2005. Abstracts. Part 1. March 28 
April 1, 2005. Universite de Luxembourg. P. 63.

Kirillov O.N. An Analytical Theory of the
Destabilization Paradox in NonConservative Systems. In: COMPUTATIONAL
MECHANICS; Abstracts of the Sixth World Congress on Computational
Mechanics in conjunction with APCOM’04, Sept. 510, 2004,
Beijing, China. 2004 Tsinghua University Press & SpringerVerlag.
Vol. 1. P.
473.

Kirillov O.N. Stabilizing and
destabilizing effect of small velocitydependent forces on
nonconservative systems: new results. Book of
Abstracts of the 75th Annual Scientific Conference
GAMM.
(March 2127, 2004, Dresden). P. 3536.

Kirillov O.N. A theory of the
destabilization paradox in nonconservative systems, 4th European
Congress of Mathematics, Stockholm (Sweden), 2004. Abstracts, http://www.math.kth.se/4ecm/abstracts/14.50.pdf

Seyranian A.P., Mailybaev A.A., Kirillov
O.N. Multiparameter stability theory with mechanical applications.
Abstracts of the 7 th International Ñonference “Chaos2004”.
October 16, 2004. Saratov. Russia. P. 147149.

Kirillov O.N. Destabilization paradox in
nonconservative systems. Book of Abstracts of the International
Conference on Differential Equations and Dynamical Systems. Suzdal.
Russia. July 510. 2004. P. 275276.

Kirillov O.N. How do small
velocitydependent forces (de)stabilize a nonconservative system?
Abstracts of the
5th EUROMECH Solid Mechanics
Conference. August
1722. 2003.
AUT. Thessaloniki. Greece. P. 162.

Kirillov O.N. How do small
velocitydependent forces (de)stabilize a nonconservative system?
Abstracts of the International Conference "Physics and
Control."
August 2022. 2003. St.Petersburg. P. 94.

Kirillov O.N., Seyranian A.P. Collapse of
the Keldysh chains and stability of continuous nonconservative
systems. Third International Conference "Polyahovskie chtenija".
St.Petersburg. Book of abstracts. 2003. P.7778.

Kirillov O.N. How do small
velocitydependent forces (de)stabilize a nonconservative system?
Abstracts of the International Conference "Kolmogorov and
Contemporary Mathematics", Moscow State University. Moscow. 2003.
P. 185186.

Kirillov O.N. Collapse of Keldysh chains
and stability boundaries of nonconservative systems. Book of
Abstracts of the Annual Scientific Conference GAMM.
(March 2528,
2002, Augsburg) P. 77.

Kirillov O.N. Metamorphoses of
characteristic curves and optimization of nonconservative systems. ICM
2002 Satellite Conference on Control and Optimization. (August
30September 1, 2002, Xi'an, China).

Kirillov O.N., Seyranian A.P.
Metamorphoses of characteristic curves and optimization of
nonconservative systems. XXX
Summer school "Advanced problems in Mechanics"
(June27July 6, 2002, St. Petersburg). Book of Abstracts. P.57.

Kirillov O.N., Seyranian
A.P. Collapse of Keldysh chains and stability of continuous
nonconservative systems. International Conference "Mathematical
ideas of P. L. Chebyshev and their application for modern problems of
natural sciences." (Obninsk, May 1418, 2002). Book of abstracts.
P. 49.

Kirillov O.N., Seyranian A.P. Bifurcation
of eigenvalues of nonselfadjoint differential operators and stability
of nonconservative systems. Abstracts of the Second International
Congress "Nonlinear Dynamical Analysis". Moscow, June 38,
2002.

Kirillov O.N. Singularities of the
stability boundary of circulatory systems. AllRussian Young Scientists Competition
on Mechanics and Control Dedicated to the 100th Anniversary of A.I.
Lurie. December 1314, 2001, SaintPetersburg.

Kirillov O.N., Seyranian A.P. Phenomenon of overlapping of
characteristic curves in nonconservative systems: theory and
applications.
Compilation of abstracts for the First MIT
Conference on
Computational Fluid and Solid Mechanics. 2001. Cambridge. MA.
P. 73.

Kirillov O.N. Bifurcation of eigenvalues of nonselfadjoint
differential operators and stability of nonconservative systems.
Book
of abstracts. International Conference "Differential Equations
and Related Topics" Dedicated to the Centenary Anniversary of I.G.
Petrovskii. 2001. P. 191. Moscow.

Kirillov O.N. On a nonsmooth optimization problem.
8th AllRussian
Congress on Theoretical and Applied Mechanics. Perm. Russia. August 2329,
2001. Book of abstracts. P. 321.

Kirillov O.N. On a nonsmooth optimization problem on stability
criteria.
International School on Dynamical and Controlled Systems.
Suzdal. 2001 Book of Abstracts. P. 28.

Kirillov O.N. Metamorphoses of characteristic curves in
nonconservative systems dependent on parameters. Conference of
Young Scientists of the Institute of Mechanics. October 1012, 2001.

Seyranian A.P., Mailybaev A.A., Kirillov O.N.
Singularities of
stability boundaries: analysis and applications. Lomonosov Reading 
2000.

Kirillov O.N., Seyranian A.P. Optimization of stability of a
flexible column moving due to action of the follower force. Applied
problems of Mechanics of Rocket and Space systems. AllRussian
Conference dedicated to 40th Anniversary of the department "Aerospace
systems". N.E. Bauman Moscow State Technical University. December
5, 2000. P. 111.

Seyranian A.P., Kirillov O.N. Singularities of stability boundaries
of circulatory systems.
Int. Conference on Differential Equations and Dynamical Systems. Suzdal. Abstracts. 2000. P. 73.

Kirillov O.N., Seyranian A.P. Stability boundaries and overlapping
of characteristic curves in circulatory systems.
4th EUROMECH Solid Mechanics Conference. Book of abstracts. 2000. Vol. 2. P. 533.
Universite de Metz. France.

Seyranian A.P., Kirillov O.N. Bifurcation diagrams and stability
boundaries of discrete and continuous circulatory systems.
4th
EUROMECH Solid Mechanics Conference. Book of abstracts. 2000. Vol. 2.
P. 644. Universite de Metz. France.

Kirillov O.N. Necessary optimality conditions in optimization
problems for nonconservative systems. Conference of Young
Scientists
of the Institute of Mechanics. 2000.

Kirillov O.N., Seyranian A.P. On stability boundaries of circulatory
systems.
Lomonosov Reading  1999.

Kirillov O.N., Seyranian A.P. Optimal distributions of mass
and stiffness in a problem of flexible stability of a flying column.
5th International Simposium on Dynamical and Technological Problems of
Structures and Solids. Moscow Aviation Institute. 1999. P. 3738.

Kirillov O.N., Seyranian A.P. Bifurcation Diagrams and Stability
Boundaries of Circulatory Systems. 7th International Conference on
Stability, Control and Dynamics of Solids. Institute of Applied Maths
and Mechs of the National Academy of Science. Donetsk. Ukraine. Book
of Abstracts. 1999. P. 64.

Kirillov O.N., Seyranian A.P. Bifurcation diagrams and stability
boundaries of circulatory systems. International Conference on
Mathematical Physics, Dedicated to the 90th Anniversary of G.F. Laptev.
Moscow State University. October 2530. 1999. Book of abstracts. P.
2324.

Kirillov O.N., Seyranian A.P. Optimization of the critical
load in a
problem of elastic stability of a flying column.
International
Conference on Geometry, Differential Equations and Optimal Control
Dedicated to the 90th Anniversary of L.S. Pontryagin. Moscow State
University. Book of Abstracts. 1998. P. 232235.



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20012008 by Oleg & Ksenia Kirillov 
