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

• Leonov G.A., Kuznetsov N.V. (2011). "Algorithms for Searching for Hidden Oscillations in the Aizerman and Kalman Problems". Doklady Mathematics. 84 (1): 475–481. doi:10.1134/S1064562411040120.

• Bragin V.O., Vagaitsev V.I., Kuznetsov N.V., Leonov G.A. (2011). "Algorithms for Finding Hidden Oscillations in Nonlinear Systems. The Aizerman and Kalman Conjectures and Chua's Circuits". Journal of Computer and Systems Sciences International. 50 (4): 511–543. doi:10.1134/S106423071104006X.{{cite journal}}: CS1 maint: multiple names: authors list (link)

• G.A. Leonov, N.V. Kuznetsov, O.A. Kuznetsova, S.M. Seledzhi, V.I.Vagaitsev (2011). "Hidden oscillations in dynamical systems" (PDF). Transaction on Systems and Control. 6 (2): 54–67.{{cite journal}}: CS1 maint: multiple names: authors list (link)

• G.A. Leonov, N.V. Kuznetsov (2007). "Time-Varying Linearization and the Perron effects" (PDF). International Journal of Bifurcation and Chaos. 17 (4): 1079–1107. doi:10.1142/S0218127407017732.

• Leonov G.A., Vagaitsev V.I., Kuznetsov N.V. (2011). "Localization of hidden Chua's attractors". Physics Letters, Section A. 375 (23): 2230–2233. doi:10.1016/j.physleta.2011.04.037.{{cite journal}}: CS1 maint: multiple names: authors list (link)

• G.A. Leonov, N.V. Kuznetsov, and E.V. Kudryashova (2011). "A Direct Method for Calculating Lyapunov Quantities of Two-Dimensional Dynamical Systems". Proceedings of the Steklov Institute of Mathematics. 272 (Supplement 1): S119–S127. doi:10.1134/S008154381102009X.{{cite journal}}: CS1 maint: multiple names: authors list (link)

• * G.A. Leonov, V.O. Bragin, N.V. Kuznetsov (2010). "Algorithm for Constructing Counterexamples to the Kalman Problem" (PDF). Doklady Mathematics. 82 (1): 540–542. doi:10.1134/S1064562410040101.{{cite journal}}: CS1 maint: multiple names: authors list (link)

• Leonov G.A., Vagaitsev V.I., Kuznetsov N.V. (2010). "Algorithm for localizing Chua attractors based on the harmonic linearization method" (PDF). Doklady Mathematics. 82 (1): 663–666. doi:10.1134/S1064562410040411.{{cite journal}}: CS1 maint: multiple names: authors list (link)

• G.A. Leonov, N.V. Kuznetsov (2010). "Limit Cycles of Quadratic Systems with a Perturbed Weak Focus of Order 3 and a Saddle Equilibrium at Infinity" (PDF). Doklady Mathematics. 82 (2): 693–696. doi:10.1134/S1064562410050042.

• G.A. Leonov, N.V. Kuznetsov, S.M. Seledzhi, K.E. Starkov (2010). "Localization of the Attractor of the Differential Equations for the Solar Wind-Magnetosphere-Ionosphere Model" (PDF). Doklady Physics. 55 (9): 471–473. doi:10.1134/S1028335810090120.{{cite journal}}: CS1 maint: multiple names: authors list (link)

• Kuznetsov N.V., Leonov G.A. (2008). "Lyapunov quantities, limit cycles and strange behavior of trajectories in two-dimensional quadratic systems" (PDF). Doklady Physics. 10 (4): 460–467.