All Stories

  1. Local instabilities in magnetized rotational flows: a short-wavelength approach

    Article • Journal of Fluid Mechanics, November 2014, Cambridge University Press

    Dr Oleg N Kirillov

  2. Geometric degree of nonconservativity

    Article • Mathematics and Mechanics of Complex Systems, June 2014, Mathematical Sciences Publishers

    Dr Oleg N Kirillov

  3. Instabilities of rotational flows in azimuthal magnetic fields of arbitrary radial dependence

    Article • Fluid Dynamics Research, May 2014, Institute of Physics Publishing

    Dr Oleg N Kirillov

  4. Determining the Stability Domain of Perturbed Four-Dimensional Systems in 1:1 Resonance

    Article • February 2014, Wiley

    Dr Oleg N Kirillov

  5. Nonlinear Physical Systems

    Article • November 2013, Wiley

    Dr Oleg N Kirillov, Dr Dmitry Pelinovsky

  6. Extending the Range of the Inductionless Magnetorotational Instability

    Article • Physical Review Letters, August 2013, American Physical Society (APS)

    Dr Oleg N Kirillov

  7. My monograph on non-conservative systems

    Article • June 2013, De Gruyter

    Dr Oleg N Kirillov

  8. Stabilizing and destabilizing perturbations of PT-symmetric indefinitely damped systems

    Article • Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, March 2013, Royal Society Publishing

    Dr Oleg N Kirillov

  9. Robust stability at the Swallowtail singularity

    Article • Frontiers in Physics, January 2013, Frontiers

    Dr Oleg N Kirillov

  10. A UNIFYING PICTURE OF HELICAL AND AZIMUTHAL MAGNETOROTATIONAL INSTABILITY, AND THE UNIVERSAL SIGNIFICANCE OF THE LIU LIMIT

    Article • The Astrophysical Journal, August 2012, American Astronomical Society

    Dr Oleg N Kirillov

  11. WKB thresholds of standard, helical, and azimuthal magnetorotational instability

    Article • Proceedings of the International Astronomical Union, August 2012, Cambridge University Press

    Dr Oleg N Kirillov

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    Article • Physics Letters A, March 2012, Elsevier

    Dr Oleg N Kirillov

  13. Standard and Helical Magnetorotational Instability

    Article • Acta Applicandae Mathematicae, February 2012, Springer Science + Business Media

    Dr Oleg N Kirillov

  14. 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, 462-488 (2010)]

    Article • ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, February 2012, Wiley

    Dr Oleg N Kirillov

  15. Erratum to “Brouwerʼs problem on a heavy particle in a rotating vessel: Wave propagation, ion traps, and rotor dynamics” [Phys. Lett. A 375 (2011) 1653]

    Article • Physics Letters A, January 2012, Elsevier

    Dr Oleg N Kirillov

  16. Paradoxical transitions to instabilities in hydromagnetic Couette-Taylor flows

    Article • Physical Review E, December 2011, American Physical Society (APS)

    Dr Oleg N Kirillov, Dr Dmitry Pelinovsky

  17. Singularities on the boundaries of magnetorotational instabilities and scaling laws

    Article • PAMM, December 2011, Wiley

    Dr Oleg N Kirillov

  18. Re-visiting structural optimization of the Ziegler pendulum: singularities and exact optimal solutions

    Article • PAMM, December 2011, Wiley

    Dr Oleg N Kirillov

  19. Paradoxes of magnetorotational instability and their geometrical resolution

    Article • Physical Review E, September 2011, American Physical Society (APS)

    Dr Oleg N Kirillov

  20. Brouwerʼs problem on a heavy particle in a rotating vessel: Wave propagation, ion traps, and rotor dynamics

    Article • Physics Letters A, April 2011, Elsevier

    Dr Oleg N Kirillov

  21. Dissipation-induced instabilities and symmetry

    Article • Acta Mechanica Sinica, February 2011, Springer Science + Business Media

    Dr Oleg N Kirillov

  22. Sensitivity of Sub-critical Mode-coupling Instabilities in Non-conservative Rotating Continua to Stiffness and Damping Modifications

    Article • International Journal of Vehicle Structures and Systems, February 2011, MAFTREE

    Dr Oleg N Kirillov

  23. Sensitivity Analysis of Hamiltonian and Reversible Systems Prone to Dissipation-Induced Instabilities

    Article • April 2010, World Scientific Pub Co Pte Lt

    Dr Oleg N Kirillov

  24. ON THE RELATION OF STANDARD AND HELICAL MAGNETOROTATIONAL INSTABILITY

    Article • The Astrophysical Journal, February 2010, American Astronomical Society

    Dr Oleg N Kirillov

  25. How Does Krein Signature Determine Veering and Crossing of Eigencurves of Non-Conservative Rotating Continua?

    Article • January 2010, American Institute of Physics

    Dr Oleg N Kirillov

  26. Unfolding the conical zones of the dissipation-induced subcritical flutter for the rotationally symmetrical gyroscopic systems

    Article • Physics Letters A, March 2009, Elsevier

    Dr Oleg N Kirillov

  27. Determining role of Krein signature for three-dimensional Arnold tongues of oscillatory dynamos

    Article • Physical Review E, January 2009, American Physical Society (APS)

    Dr Oleg N Kirillov

  28. Sensitivity Analysis of Dissipative Reversible and Hamiltonian Systems: A Survey

    Article • January 2009, ASME International

    Dr Oleg N Kirillov

  29. In- and Out-of-Plane Vibrations of a Rotating Plate With Frictional Contact: Investigations on Squeal Phenomena

    Article • Journal of Applied Mechanics, January 2009, ASME International

    Dr Oleg N Kirillov

  30. Dissipation-induced subcritical flutter in the acoustics of friction

    Article • PAMM, December 2008, Wiley

    Dr Oleg N Kirillov

  31. Homotopic Arnold tongues deformation of the MHD α2-dynamo

    Article • PAMM, December 2008, Wiley

    Dr Oleg N Kirillov

  32. How to Play a Disc Brake: A Dissipation-Induced Squeal

    Article • SAE International Journal of Passenger Cars - Mechanical Systems, April 2008, SAE International

    Dr Oleg N Kirillov

  33. Modeling and Stability Analysis of an Axially Moving Beam With Frictional Contact

    Article • Journal of Applied Mechanics, January 2008, ASME International

    Dr Oleg N Kirillov

  34. Stabilization and destabilization in non-conservative gyroscopic systems

    Article • PAMM, December 2007, Wiley

    Dr Oleg N Kirillov

  35. Destabilization paradox due to breaking the Hamiltonian and reversible symmetry

    Article • International Journal of Non-Linear Mechanics, January 2007, Elsevier

    Dr Oleg N Kirillov

  36. On Krein space related perturbation theory for MHDα2-dynamos

    Article • PAMM, December 2006, Wiley

    Dr Oleg N Kirillov

  37. Gyroscopic stabilization of non-conservative systems

    Article • Physics Letters A, November 2006, Elsevier

    Dr Oleg N Kirillov

  38. Dissipation induced instabilities in continuous non-conservative systems

    Article • PAMM, December 2005, Wiley

    Dr Oleg N Kirillov

  39. Geometric phase around exceptional points

    Article • Physical Review A, July 2005, American Physical Society (APS)

    Dr Oleg N Kirillov

  40. Stabilizing and destabilizing effect of small velocity-dependent forceson non-conservative systems: new results

    Article • PAMM, December 2004, Wiley

    Dr Oleg N Kirillov

  41. Collapse of the Keldysh Chains and Stability of Continuous Nonconservative Systems

    Article • SIAM Journal on Applied Mathematics, January 2004, Society for Industrial & Applied Mathematics (SIAM)

    Dr Oleg N Kirillov

  42. Collapse of Keldysh chains and stability boundaries of non-conservative systems

    Article • PAMM, March 2003, Wiley

    Dr Oleg N Kirillov

  43. Bifurcation of Eigenvalues of Nonselfadjoint Differential Operators in Nonconservative Stability Problems

    Article • January 2002, ASME International

    Dr Oleg N Kirillov

  44. Optimality Conditions in Nonconservative Stability Problems

    Article • January 2000, Springer Science + Business Media

    Dr Oleg N Kirillov

  45. Optimization of stability of a flexible missile under follower thrust

    Article • August 1998, American Institute of Aeronautics and Astronautics (AIAA)

    Dr Oleg N Kirillov