Nikolay V. Kuznetsov

He graduated from the St. Petersburg University, Department of Theoretical Cybernetics chaired by V.A. Yakubovich, in 2001. In 2004 he received Candidate of Science degree (supervisor G.A. Leonov) and in 2016 Doctor of Science degree (Habilitation) from St. Petersburg University. From 2003 Nikolay Kuznetsov has been working in St. Petersburg University and now he is Professor and Head of the Department of Applied Cybernetics there. In 2018 and 2020, the research group chaired by Prof. Kuznetsov was awarded the status of the Leading Scientific School (Center of Excellence) of Russia in the field of mathematics and mechanics.

Medal of the University of Jyväskylä is awarded to Prof. Kuznetsov (2017).

Since 2018, Prof. Kuznetsov is Head of the Laboratory of information and control systems at the Institute for Problems in Mechanical Engineering of the Russian Academy of Science.

In 2008, Nikolay Kuznetsov defended his Ph.D. degree at the University of Jyväskylä, Finland (supervisors P. Neittaanmäki, G.A. Leonov). After the defense, he has been working at the University of Jyväskylä as the Academy of Finland postdoc, then as a part-time professor at the IT Faculty: from 2014 he is Adjunct Docent and from 2017 – Visiting Professor. He is co-chair of the Finnish-Russian Educational & Research program organized in 2007 by the University of Jyväskylä and St. Petersburg University.[1] As a recognition, University of Jyväskylä awarded him a medal for his distinguished merits in the field of applied mathematics and training doctoral students,[2] in 2020 he got the Finnish Information Processing Association (TIVIA) award[3] and was elected as foreign member of the Finnish Academy of Science and Letters (becoming its youngest foreign member at the time of election).[4][5]

The experience of the program he used in 2013 when organizing the first defenses to the Ph.D. degree granted by St. Petersburg University, instead of the Candidate of Sciences degrees awarded by the State Supreme Certification Commission.[6]

Prof. Kuznetsov’s research interests are in dynamical systems and applied mathematics. In his works, a combination of rigorous analytical and reliable numerical methods allowed for both the advancement in solving previously known fundamental unsolved problems as well as the development of modern engineering technologies. Among his main results are the development of the theory of hidden oscillations and the concept of self-excited and hidden attractors, the discovery of a hidden Chua attractor in Chua circuits,[7] revealing of coexisting hidden attractors in electomechanical models with Sommerfeld effect, solutions to the Egan problem on the pull-in range and to the Gardner problem on the lock-in range for phase-locked loops, nonlinear analysis of the CP-PLL and validation of the Gardner conjecture, counterexamples with self-excited and hidden attractors to the classical describing function method, developed effective analytical-numerical methods for the construction of counterexamples to the Kalman conjecture on the absolute stability of control systems, provided justification of time-varying linearization and analysis of Perron effects of the Lyapunov exponent sign reversal, effective analytical-numerical method for the finite-time and exact Lyapunov dimension computation, and proof of the Eden conjecture for a number of dynamical systems.

The Web of Science Group proclaimed him a Highly Cited Researcher in Russia twice over two consecutive years (2016-2017) and included him in the worldwide list of Highly Cited Researchers in 2019[8] (where he was among 3 scientists from St. Petersburg University and the only one from the University of Jyväskylä)[9][10] and in 2020.[11][12]

• N.V. Kuznetsov at Google scholar
• N.V. Kuznetsov at Scopus
• N.V. Kuznetsov at Web of Science (publons)
• N.V. Kuznetsov at Mathematics Genealogy Project
• S. Abramovich, N.V. Kuznetsov, P. Neittaanmäki, Obituary: Gennady Alekseevich Leonov (1947-2018), Open Mathematical Education Notes, 8(1), 2018, 15-21
• S. Abramovich, N. Kuznetsov, G. Leonov. V. A. Yakubovich — mathematician, “father of the field”, and herald of intellectual democracy in science and society, IFAC-PapersOnLine, 48(11), 2015, 1–3 (video)

• Kuznetsov N.V., Theory of hidden oscillations and stability of control systems, Journal of Computer and Systems Sciences International, 59(5), pp. 647–668
• N. Kuznetsov, V. Reitmann, Attractor Dimension Estimates for Dynamical Systems: Theory and Computation. Cham: Springer, 2021.
• N.V. Kuznetsov, G.A. Leonov, Strange attractors and classical stability theory: stability, instability, Lyapunov exponents and chaos. In Handbook of Applications of Chaos Theory (Eds. Christos H. Skiadas, Charilaos Skiadas), Chapman and Hall/CRC, 2016, pp. 105-134
• Leonov G.A., Kuznetsov N.V., Nonlinear Mathematical Models of Phase-Locked Loops. Stability and Oscillations. Cambridge Scientific Publisher, 2014
• D. Dudkowski, S. Jafari, T. Kapitaniak, N. V. Kuznetsov, G. A. Leonov, A. Prasad, Hidden attractors in dynamical systems, Physics Reports, 637, 2016, pp. 1-50
• R.E. Best, N.V. Kuznetsov, G.A. Leonov, M.V. Yuldashev, R.V. Yuldashev, Tutorial on dynamic analysis of the Costas loop, IFAC Annual Reviews in Control, 42, 2016, pp. 27-49
• Leonov G.A., Kuznetsov N.V., Yuldashev M.V., 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, art. num. 7277189, pp. 2454-2464
• G.A. Leonov, N.V. Kuznetsov, 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), 2013, art. no. 1330002
• G.A. Leonov, N.V. Kuznetsov, Time-Varying Linearization and the Perron effects, International Journal of Bifurcation and Chaos, 17(4), 2007, pp. 1079-1107