control theory, nonlinear dynamics, dynamical systems, phase synchronization
Biography
Nikolay V. Kuznetsov was born 13 May 1979 in St. Petersburg, Russia.
In 1996 Nikolay Kuznetsov graduated from Physical & Mathematical Lyceum №239, in 2001 graduated from St. Petersburg State University, Department of Mathematics and Mechanics with Specialist degree (diploma with honors) in Applied mathematics and informatics. In 2004 he received Specialist degree in Management (diploma with honors) from Baltic State Technical University. In 2004 — received Candidate of Science degree from St. Petersburg State University, in 2008 —received Ph.D. degree from the University of Jyväskylä (Finland), in 2016 — Doctor of Science degree from St. Petersburg State University.
From 2003 till now Nikolay Kuznetsov has been working in St. Petersburg State University. Now he is Professor, Deputy Head of the Department of Applied Cybernetics. From 2008 he is Coordinator of Finnish-Russian educational & research program in applied mathematics and information technologies, organized by Faculties of Information Technology (University of Jyväskylä) and Mathematics & Mechanics (St. Petersburg State University), from 2017 – Visiting professor at the University of Jyväskylä
He is author and co-author of more than 200 publications: https://scholar.google.com/citations?user=EjseyeQAAAAJ
Main publications:
Kuznetsov, N.V., “The Lyapunov dimension and its estimation via the Leonov method”, Physics Letters A, 380 (2015), 2142-2149
Kuznetsov, N.V., “Hidden attractors in fundamental problems and engineering models. A short survey.”, Lecture Notes in Electrical Engineering, 371 (2016), 13-25
Dudkowski, D. and Jafari, S. and Kapitaniak, T. and Kuznetsov, N.V. and Leonov, G.A. and Prasad, A., “Hidden Attractors in Dynamical Systems”, Physics Reports, 637 (2016), 1-50
Leonov, G.A. and Kuznetsov, N.V. and Yuldashev, M.V. and Yuldashev, R.V., “Hold-in, pull-in, and lock-in ranges of PLL circuits: rigorous mathematical definitions and limitations of classical theory”, IEEE Transactions on Circuits and Systems–I: Regular Papers, 62:10 (2015), 2454-2464
Leonov, G.A. and Kuznetsov, N.V. and Mokaev, T.N., “Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion”, Eur. Phys. J. Special Topics, 224:8 (2015), 1421-1458
N. Kuznetsov, M. Yu. Lobachev, T. N. Mokaev, “Hidden boundary of global stability in the Kapranov conjecture on the pull-in range”, Dokl. RAN. Math. Inf. Proc. Upr., 512 (2023), 69–77; Dokl. Math., 108:1 (2023), 300–308
N. Kuznetsov, M. Yu. Lobachev, M. V. Yuldashev, R. V. Yuldashev, S. I. Volskiy, D. A. Sorokin, “On the generalized Gardner problem for phase-locked loops in electrical grids”, Dokl. RAN. Math. Inf. Proc. Upr., 498 (2021), 71–75; Dokl. Math., 103:3 (2021), 157–161
B. R. Andrievsky, N. Kuznetsov, O. A. Kuznetsova, G. A. Leonov, T. N. Mokaev, “Localization of hidden oscillations in flight control systems”, Tr. SPIIRAN, 49 (2016), 5–31
G. A. Leonov, N. Kuznetsov, E. V. Kudryashova, “Tunisia 2011–2014. Bifurcation, revolution, and controlled stabilization”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2016, no. 4, 92–103
G. A. Leonov, N. V. Kuznetsov, “Hidden oscillations in dynamical systems. 16 Hilbert's problem, Aizerman's and Kalman's conjectures, hidden attractors in Chua's circuits”, CMFD, 45 (2012), 105–121; Journal of Mathematical Sciences, 201:5 (2014), 645–662
G. A. Leonov, N. V. Kuznetsov, E. V. Kudryashova, O. A. Kuznetsova, “Modern symbolic computation methods: Lyapunov quantities and 16th Hilbert problem”, Tr. SPIIRAN, 16 (2011), 5–36
G. A. Leonov, N. V. Kuznetsov, E. V. Kudryashova, “A direct method for calculating Lyapunov values of two-dimensional dynamical systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:1 (2010), 119–126; Proc. Steklov Inst. Math. (Suppl.), 272, suppl. 1 (2011), S119–S126
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