User:Kuznetsov N.V.
Kuznetsov N.V. (Nikolay V. Kuznetsov)
2008: Ph.D. degree, University of Jyväskylä, Finland
2006: Specialist degree in Management (diploma with honors)
2005 – now: Associated Professor of Saint-Petersburg State University, Faculty of Mathematics and Mechanics
2004:
Postdoctoral position in Max Planck Institute, Physics of Complex Systems, Dresden, Germany
Candidate of Sciences degree in Discrete mathematics and mathematical cybernetics, Saint-Petersburg State University
2001: Specialist degree in Applied mathematics and informatics (diploma with honors), Saint-Petersburg State University, Faculty of Mathematics and Mechanics
Kuznetsov N.V. author and co-author over 100 journal and conference papers.
Main publications
- {{cite journal
| author = Leonov G.A., Kuznetsov N.V.
| year = 2011
| title = Algorithms for Searching for Hidden Oscillations in the Aizerman and Kalman Problems
| journal = Doklady Mathematics
| volume = 84
| number = 1
| pages = 475–481
| doi = 10.1134/S1064562411040120}}
- {{cite journal
| author = Bragin V.O., Vagaitsev V.I., Kuznetsov N.V., Leonov G.A.
| year = 2011
| title = Algorithms for Finding Hidden Oscillations in Nonlinear Systems. The Aizerman and Kalman Conjectures and Chua's Circuits
| journal = Journal of Computer and Systems Sciences International
| volume = 50
| number = 4
| pages = 511–543
| doi = 10.1134/S106423071104006X}}
- {{cite journal
| author = G.A. Leonov, N.V. Kuznetsov, O.A. Kuznetsova, S.M. Seledzhi, V.I.Vagaitsev
| year = 2011
| title = Hidden oscillations in dynamical systems
| journal = Transaction on Systems and Control
| volume = 6
| issue = 2
| pages = 54–67
| url = http://www.math.spbu.ru/user/nk/PDF/2011-WTSC-Hidden-oscillations-in-dynamical-systems.pdf
| bibcode=}}
- {{cite journal
| author = G.A. Leonov, N.V. Kuznetsov
| year = 2007
| title = Time-Varying Linearization and the Perron effects
| journal = International Journal of Bifurcation and Chaos
| volume = 17
| issue = 4
| pages = 1079–1107
| url = http://www.math.spbu.ru/user/nk/PDF/2007_IJBC_Lyapunov_exponent_Linearization_Chaos_Perron_effects.pdf
| doi = 10.1142/S0218127407017732
| bibcode=}}
- {{cite journal |
author = Leonov G.A., Vagaitsev V.I., Kuznetsov N.V. |
year = 2011 |
title = Localization of hidden Chua's attractors |
journal = Physics Letters, Section A |
volume = 375 |
issue = 23 |
pages = 2230–2233 |
doi = 10.1016/j.physleta.2011.04.037}}
- {{cite journal |
author = G.A. Leonov, N.V. Kuznetsov, and E.V. Kudryashova |
year = 2011 |
title = A Direct Method for Calculating Lyapunov Quantities of Two-Dimensional Dynamical Systems |
journal = Proceedings of the Steklov Institute of Mathematics |
volume = 272 |
issue = Supplement 1 |
pages = S119–S127 |
doi = 10.1134/S008154381102009X}}
- * {{cite journal
| author = G.A. Leonov, V.O. Bragin, N.V. Kuznetsov
| year = 2010
| title = Algorithm for Constructing Counterexamples to the Kalman Problem
| journal = Doklady Mathematics
| volume = 82
| number = 1
| pages = 540–542
| url = http://www.math.spbu.ru/user/nk/PDF/2010_DAN_Absolute_Stability_Harmonic_Balance_Aizerman_Kalman_Problem.pdf
| doi = 10.1134/S1064562410040101}}
- {{cite journal
| author = Leonov G.A., Vagaitsev V.I., Kuznetsov N.V.
| year = 2010
| title = Algorithm for localizing Chua attractors based on the harmonic linearization method
| journal = Doklady Mathematics
| volume = 82
| number = 1
| pages = 663–666
| url = http://www.math.spbu.ru/user/nk/PDF/2010_DAN_Hidden_Chua_Attractor_Localization_Harmonic_Balance.pdf
| doi = 10.1134/S1064562410040411}}
- {{cite journal
| author = G.A. Leonov, N.V. Kuznetsov
| year = 2010
| title = Limit Cycles of Quadratic Systems with a Perturbed Weak Focus of Order 3 and a Saddle Equilibrium at Infinity
| journal = Doklady Mathematics
| volume = 82
| number = 2
| pages = 693–696
| url = http://www.math.spbu.ru/user/nk/PDF/2010-DAN-limit-cycles-quadratic-system-weak-focus-third-order.pdf
| doi = 10.1134/S1064562410050042}}
- {{cite journal
| author = G.A. Leonov, N.V. Kuznetsov, S.M. Seledzhi, K.E. Starkov
| year = 2010
| title = Localization of the Attractor of the Differential Equations for the Solar Wind-Magnetosphere-Ionosphere Model
| journal = Doklady Physics
| volume = 55
| number = 9
| pages = 471–473
| url = http://www.math.spbu.ru/user/nk/PDF/2010-DAN-Solar-Wind-Magnetosphere-Ionosphere-WINDMI-attractor.pdf
| doi = 10.1134/S1028335810090120}}
- {{cite journal
| author = Kuznetsov N.V., Leonov G.A.
| year = 2008
| title = Lyapunov quantities, limit cycles and strange behavior of trajectories in two-dimensional quadratic systems
| journal = Doklady Physics
| volume = 10
| issue = 4
| pages = 460–467
| url = http://www.math.spbu.ru/user/nk/PDF/2008-JVE-Lyapunov-quantities-limit-cycles-in-two-dimensioanl.pdf
}}