Nikolay Kuznetsov

Biography

Personal webpage

• 2008 Ph.D. degree, University of Jyväskylä, Finland

• 2004 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

Publications

List of publications

• Leonov G.A., Kuznetsov N.V. (2013). Hidden attractors in dynamical systems. From hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman problems to hidden chaotic attractor in Chua circuits. International Journal of Bifurcation and Chaos 23 (1): art. no. 1330002. doi:10.1142/S0218127413300024. 
• 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. 
• 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. 
• 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. 
• G.A. Leonov, V.O. Bragin, N.V. Kuznetsov (2010). Algorithm for Constructing Counterexamples to the Kalman Problem. Doklady Mathematics 82 (1): 540-542. doi:10.1134/S1064562410040101. 
• Leonov G.A., Vagaitsev V.I., Kuznetsov N.V. (2010). Algorithm for localizing Chua attractors based on the harmonic linearization method. Doklady Mathematics 82 (1): 663-666. doi:10.1134/S1064562410040411. 
• 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. 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. Doklady Physics 55 (9): 471-473. doi:10.1134/S1028335810090120. 

• Kuznetsov N.V., Leonov G.A. (2008). Lyapunov quantities, limit cycles and strange behavior of trajectories in two-dimensional quadratic systems. Doklady Physics 10 (4): 460-467. 
• G.A. Leonov, N.V. Kuznetsov (2007). Time-Varying Linearization and the Perron effects. International Journal of Bifurcation and Chaos 17 (4): 1079-1107. doi:10.1142/S0218127407017732.