Speciality:
05.13.18 (Mathematical modelling, calculating methods, and the program systems)
Birth date:
13.05.1979
E-mail: ,
Website: https://www.math.spbu.ru/user/nk Keywords: contro ltheory, nonlinear dynamics, dynamical systems, hidden attractors, Lyapunov exponents, Lyapunov dimesnion, phase-locked loops
Subject:
control theory, nonlinear dynamics, dynamical systems, phase synchronization
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
