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]
·
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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Elena V. Kudryashova (Ph.D,
Univ. of Jyväskylä, St. Petersburg State Univ., 2009)
EDITORIAL
BOARDS and EDITORS
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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
FELLOWSHIPS
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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
AWARDS,
PERSONAL GRANTS
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Paper award at 8th Int. Conference on Informatics in
Control, Automation and Robotics («Hidden attractor in Chua's circuits», 2011)
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Grant from Academy of Finland for postdoc (2011-2013)
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Contracts from Ministry of Education and Science of
the Russian Federation (Federal target program, 2009-2013)
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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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The interdisciplinary center of excellence,
German-Russian Interdisciplinary Science Center (G-RISC) in Saint-Petersburg
State University, 2009-2013 (leader: Prof. E. Ruehl, Germany)
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CONACYT project "Localization Analysis of Compact
Invariant Sets of Systems with Complex Dynamics and its Applications"
¹000000000078890, 2007-2010 (leader: Prof. K. Starkov, Mexico)
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NWO–RFBR Dutch-Russian cooperation program
"Dynamics and control of hybrid mechanical systems"
¹047.011.2004.004, 2005–2008 (leaders: Prof. H. Nijmeijer, The
Netherlands, Prof. G.A. Leonov, Russia)
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DFG Schwerpunktprogramme 1114 – German Priority
Research Program "Mathematical methods for time series analysis and
digital image processing", 2002-2006 (leader: Prof. Dr. H. Kantz,
Germany)
CONFERENCES
ORGANIZATION
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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