Nikolay V. Kuznetsov
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Address: Faculty of
Mathematics and Mechanics, Saint-Petersburg State University, 28
Universitesky pr., Peterhof, Saint-Petersburg 198504, Russia Phone: +7 (812) 4284015 Fax:
+7 (812) 4286998 kuznetsov<at>math.spbu.ru
nkuznetsov239<at>gmail.com |
Ph.D., Associated
Professor Applied Cybernetics Department, Faculty of Mathematics and Mechanics, Saint-Petersburg
State University
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INTERESTS · Dynamical systems ·
Phase synchronization and control · Computers and programming ·
IT-management |
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PUBLICATIONS:
author
and co-author of more than 100 publications
Main
publications
Monographs, book chapters and
tutorials
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V.O. Bragin,
V.I. Vagaitsev, N.V. Kuznetsov, G.A. Leonov, Algorithms for
Finding Hidden Oscillations in Nonlinear Systems. The Aizerman
and Kalman Conjectures and Chua's Circuits, Journal of
Computer and Systems Sciences International, 2011, Vol. 50, No. 4, pp. 511-543
[PDF] [DOI]
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G.A. Leonov, N.V. Kuznetsov, O.A. Kuznetsova, S.M.
Seledzhi, V.I.Vagaitsev, Hidden oscillations
in dynamical systems, Transaction on Systems and Control,
Issue 2, Volume 6, 2011, pp 54-67 [PDF]
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N.V. Kuznetsov, G.A. Leonov, Lyapunov Quantities and
Limit Cycles of Two-dimensional Dynamical Systems, (book chapter in "Dynamics
and Control of Hybrid Mechanical Systems", editors G. Leonov, H. Nijmeijer, A. Pogromsky, A. Fradkov), World Scientific, 2010, pp. 7-28 [WEB]
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G.A. Leonov, N.V. Kuznetsov, S.M. Seledzhi, Nonlinear Analysis
and Design of Phase-Locked Loops, (book chapter in
"Automation control – Theory and Practice", A.D. Rodić
(Ed.), In-Tech, 2009), pp. 89-114 [PDF]
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Kuznetsov N.V., Stability and Oscillations
of Dynamical Systems: Theory and Applications. Jyväskylä
University Printing House, 2008 [PDF]
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G.A. Leonov, N.V. Kuznetsov, Time-Varying
Linearization and the Perron effects, International
Journal of Bifurcation and Chaos, Vol. 17, No. 4, 2007, pp. 1079-1107 [PDF] [DOI]
Journal and
conference papers
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Leonov G.A., Kuznetsov N.V., Vagaitsev V.I, Localization of
hidden Chua's attractors, Physics Letters A, Vol.
375, is. 23, 2011, pp. 2230-2233 [PDF] [DOI]
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G.A. Leonov, N.V. Kuznetsov, M.V. Yuldashev, R.V.
Yuldashev, Computation of
Phase Detector Characteristics in Synchronization Systems, Doklady Mathematics, 2011, Vol. 84, No. 1,
pp. 586-590 [PDF] [DOI]
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N.V. Kuznetsov, G.A. Leonov, M.V. Yuldashev, R.V.
Yuldashev, Analytical methods for computation of phase-detector characteristics
and PLL design, ISSCS 2011 – IEEE
International Symposium on Signals, Circuits and Systems, Proceedings, 2011,
Art. num. 5978639, pp.7-10 [DOI]
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Kuznetsov N.V., Kuznetsovà
O.A., Leonov G.A., Vagaitsev V.I., Hidden attractor in Chua's circuits,
Proceedings of the 8th International Conference on Informatics in Control,
Automation and Robotics, Volume 1, 2011, pp. 279-282 [DOI]
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G.A. Leonov, N.V. Kuznetsov, Algorithms for
Searching for Hidden Oscillations in the Aizerman and
Kalman Problems, Doklady
Mathematics, 2011, Vol. 84, No. 1, pp. 475-481 [PDF] [DOI]
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G.A. Leonov, N.V. Kuznetsov, and E.V. Kudryashova, A Direct Method for
Calculating Lyapunov Quantities of Two-Dimensional Dynamical Systems,
Proceedings
of the Steklov Institute of Mathematics,
Volume 272, Supplement 1, 2011, pp. S119-S127 [PDF] [DOI]
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Leonov G.A., Kuznetsov N.V., Seledzhi S.M., Shumafov
M.M., Stabilization of
unstable control system via design of delayed feedback,
International Conference on Applied and Computational Mathematics, 2011,
pp.18-25 [PDF]
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G.A. Leonov, V.O. Bragin,
N.V. Kuznetsov, Algorithm for
Constructing Counterexamples to the Kalman Problem, Doklady Mathematics, 2010, Vol. 82, No. 1 pp.
540-542 [PDF] [DOI]
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G.A. Leonov, V.I. Vagaitsev, N.V. Kuznetsov, Algorithm for
localizing Chua attractors based on the harmonic linearization method, Doklady Mathematics, 2010, Vol. 82, No. 1, pp. 663-666
[PDF] [DOI]
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G.A. Leonov, N.V. Kuznetsov, Limit Cycles of
Quadratic Systems with a Perturbed Weak Focus of Order 3 and a Saddle
Equilibrium at Infinity, Doklady
Mathematics, 2010, Vol. 82, No. 2, 693-696 [PDF] [DOI]
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G.A. Leonov, N.V. Kuznetsov, S.M. Seledzhi, K.E. Starkov, Localization of the Attractor of the Differential
Equations for the Solar Wind-Magnetosphere-Ionosphere Model, Doklady Physics, 2010, Vol. 55, No. 9, pp.
471-473 [PDF] [DOI]
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G.A. Leonov, N.V. Kuznetsov, and E.V. Kudryashova, Cycles
of Two-Dimensional Systems: Computer Calculations, Proofs, and Experiments, Vestnik St. Petersburg University. Mathematics,
Vol. 41, No. 3, pp. 216-250, 2008 (Allerton Press, USA) [DOI]
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Kuznetsov N.V., Leonov G.A., Lyapunov
quantities, limit cycles and strange behavior of trajectories in
two-dimensional quadratic systems, Journal of Vibroengineering, Vol. 10, Iss.
4, 2008, pp. 460–467 [PDF]
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N.V. Kuznetsov, V. Reitmann,
Realization theory
methods for the construction of positively-invariant sets,
Proceedings of the 3rd International IEEE Scientific Conference on
Physics and Control, 2007 [PDF]
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Leonov G.A., Kuznetsov N.V., Computation of the first
Lyapunov quantity for the second-order dynamical system, IFAC Proceedings Volumes (IFAC-PapersOnline), Vol. 3, Issue 1, 2007, pp. 87-89 [DOI]
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N.V. Kuznetsov, G.A. Leonov, H. Nijmeijer, A. Pogromsky, Synchronization of
two metronomes, IFAC
Proceedings Volumes (IFAC-PapersOnline), Vol. 3,
Issue 1, 2007, pp. 49-52 [PDF] [DOI]
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Kuznetsov N.V., Leonov G.A., Criteria of stability by
the first approximation for discrete nonlinear systems, Vestnik St.
Petersburg University. Mathematics. Vol. 38, No. 3, pp. 21-30, 2005 (Allerton Press, USA) [WEB]
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Kuznetsov N.V., Leonov G.A., Criterion of stability to
first approximation of nonlinear discrete systems, Vestnik St. Petersburg
University. Mathematics. Vol. 38, No. 2, pp. 52-60, 2005 (Allerton Press, USA)
[WEB]
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N. Kouznetsov, V. Reitmann, H. Kantz, Imbedding of
causal time-series into a universal nonlinear scattering model of
Boltzmann-type, Report of 3rd annual meeting of the DFG-Schwerpunktprogramm 1114, Universitat
Bremen, 2004, pp. 1-21 [PDF]
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Kuznetsov N.V., Stability of one class of
differential-functional equations in the most simple critical case of monotone
differentiable nonlinear characteristic, Differential Equations And Control Processes,
¹3, 2003, pp. 56–65 [WEB]
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N.V. Kuznetsov, On the stability of
nonlinear systems with the monotonic differentiable nonlinear characteristics,
Differential
Equations And Control Processes, ¹1, pp. 11-16, 2001 [PDF]
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Gelig A.K., Kuznetsov
N.V., Oscillations in pulse-width modulated system, 2nd International
conference "Control of Oscillations and Chaos", 2000, Proceedings.
Volume 2, pp. 294-295 [DOI]
Keynote and invited lectures
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Kuznetsov N.V., Hidden oscillations
and hidden attractor in dynamical systems, Annual Computational Science Day 2011 (Lappeenranta, Finland) (survey lecture)
[PDF]
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Leonov G.A., Kuznetsov N.V., Analytical-numerical
methods for investigation of hidden oscillations in nonlinear control systems, 18th World Congress of the International
Federation of Automatic Control, 2011
(Milan, Italy) (survey paper) [DOI]
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G. Leonov, N. Kuznetsov, Modern problems in
applied dynamical systems theory (Stability,
Hidden oscillation
and hidden attractor localization, Strange attractors,
dimension, and Lyapunov exponents, Dynamical models:
Electrical machines and phase locked loops), 21st Jyväskylä Summer School,
2011 (Jyväskylä, Finland)
(invited lecture)
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Leonov G.A., Kuznetsov N.V., Seledzhi S.M., Analytical-numerical
methods for hidden oscillations localization, ECCOMAS Thematic Conference Computational Analysis and Optimization,
2011 (Jyväskylä, Finland)
(keynote lecture)
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Leonov G.A., Kuznetsov N.V., Kuznetsova O.A., Zarezkiy A.M., Seledzhi S.M., Solov'eva E.P., Vagaitsev
V.I., Yuldashev M.V., Yuldashev R.V., Invention of new
methods of synchronizing, International Conference TRIZfest-2011, 2011 (St.Petersburg, Russia) (plenary lecture)
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G.A. Leonov, N.V. Kuznetsov, E.V. Kudryashova,
Local methods for
dynamic system cycle investigation, X International Workshop "Stability and Oscillations of Nonlinear
Control Systems", 2008 (Moscow,
Russia) (plenary lecture)
Patents
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Method for determining the operating parameters of
phase-locked oscillator and device for its implementation, ¹2010149471, 2011
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Tool for modeling the phase detector parameters, ¹2011113212, 2011
PhD THESIS SUPERVISION
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Vitaly Bragin (St. Petersburg
State Univ., 2010)
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International Journal of Bifurcation and Chaos
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Journal of Applied Nonlinear Dynamics
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Journal of Differential Equations and Control Processes
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Eindhoven University of Technology,
The Netherlands (2006, 2008)
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Max Plank Institute, Physics of
Complex Systems, Dresden, Germany (2004)
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Frie
University of Berlin, Germany (2002), DAAD fellowship program
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University of Heidelberg, Germany
(2000), DAAD fellowship program
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Grant from Academy of Finland for postdoc (2011-2013)
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Scholarship from
Jyväskylä Graduate School in
Computing and Mathematical Sciences (2008)
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Paper award at Int. Conference
Space, astronomy and programming (2008)
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Scholarships from the Government of
Saint-Petersburg for postdoc (2007, 2008, 2010, 2011)
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Grant form Grants board of The
President of the Russian Federation for postdoc (2007-2008)
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Grant for PhD students from Russian
Ministry of Common and Professional Education (2003-2004)
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Scholarship from the Government of
Russian Federation (2003)
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Scholarships from the Government of
Saint-Petersburg for postgraduate students (2002, 2003, 2004)
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Winner of DAAD Leonhard-Euler-Programm (2000, 2002)
PARTICIPATION
IN INTERNATIONAL SCINTIFIC PROJECTS
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4th IFAC Workshop on
Periodic Control System, 2010
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6th EUROMECH Nonlinear
Dynamics Conference, 2008
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International congress Nonlinear
Dynamical Analysis, 2007
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3rd IFAC Workshop on
Periodic Control System, 2007
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2nd International
conference Control of Oscillations and Chaos, 2000