PUBLICATIONS: author and co-author of more than 200 publications [. Nikolay V. Kuznetsov at Google Scholar]

Some publications

2014

        Leonov G.A. and Kuznetsov N.V., Analytical-numerical methods for hidden attractors' localization: the 16th Hilbert problem, Aizerman and Kalman conjectures, and Chua circuits, Numerical methods for differential equations, optimization, and technological problems, Computational Methods in Applied Sciences, Volume 27, Springer, 2013, pp. 41-64 [DOI]

        N.V. Kuznetsov, T.N. Mokaev, P.A. Vasilev, Numerical justification of Leonov conjecture on Lyapunov dimension of Rossler attractor, Communications in Nonlinear Science and Numerical Simulation, 19(4), 2014, pp. 1027-1034 [DOI]

        Leonov G.A., Kuznetsov N.V., Kiseleva M.A., Solovyeva E.P., Zaretskiy A.M., Hidden oscillations in mathematical model of drilling system actuated by induction motor with a wound rotor, Nonlinear dynamics, 77(1-2), 2014 pp. 277-288 [DOI]

 

2013

        Pogromsky A.Yu., Matveev A.S., Andrievsky B.R., Leonov G.A., Kuznetsov N.V., A non-quadratic criterion for stability of forced oscillations and its application to flight control, 2013 European Control Conference (ECC), 2013, IEEE, pp. 4293-4298

        B.R. Andrievsky, N.V. Kuznetsov, G.A. Leonov, A.Yu. Pogromsky, Hidden Oscillations in Aircraft Flight Control System with Input Saturation, IFAC Proceedings Volumes (IFAC-PapersOnline), 5(1), 2013, pp. 75-79 [DOI]

        N.V. Kuznetsov, O.A. Kuznetsova, G.A. Leonov, Visualization of four normal size limit cycles in two-dimensional polynomial quadratic system, Differential equations and Dynamical systems, 21(1-2), 2013, pp. 29-34 [DOI]

 

2012

        G.A. Leonov, B.R. Andrievskii, N.V. Kuznetsov, A.Yu. Pogromskii, Aircraft control with anti-windup compensation, Differential equations, 48(13), 2012, pp. 1700-1720 [DOI]

        G.A. Leonov, N.V. Kuznetsov, M.V. Yuldashev, R.V. Yuldashev, Analytical method for computation of phase-detector characteristic, IEEE Transactions on Circuits and Systems Part II: Express Briefs, vol. 59, num. 10, 2012, pp. 633-637 [DOI]

        G.A. Leonov, N.V. Kuznetsov, M.V. Yuldashev, R.V. Yuldashev, Differential equations of Costas loop, Doklady Mathematics, 86(2), 2012, pp. 723728 [DOI]

        G.A. Leonov, N.V. Kuznetsov, A.Yu. Pogromskii, Stability domain analysis of an antiwindup control system for an unstable object, Doklady Mathematics, 86(1), 2012, pp. 587-590 [DOI]

        Andrievsky B.R., Kuznetsov N.V., Leonov G.A., Pogromsky A.Yu., Convergence based anti-windup design method and its application to flight control, International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, 2012, IEEE, pp. 212-218 [DOI]

        Kuznetsov N.V., Leonov G.A., Neittaanmaki P., Seledzhi S.M., Yuldashev M.V., Yuldashev R.V., Simulation of phase-locked loops in phase-frequency domain, International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, 2012, IEEE, pp. 351-356 [DOI]

        M.A. Kiseleva, N.V. Kuznetsov, G.A. Leonov, P. Neittaanmaki, Drilling systems failures and hidden oscillations, NSC 2012 4th IEEE International Conference on Nonlinear Science and Complexity, 2012, pp. 109-112 [DOI]

        G.A. Leonov, N.V. Kuznetsov, V.I. Vagaitsev, Hidden attractor in smooth Chua systems, Physica D, Vol. 241, Is. 18, 2012, pp. 1482-1486 [DOI]

        G.A. Leonov, N.V. Kuznetsov, V.I. Vagaitsev, Localization of hidden Chua's attractors, Physics Letters A, Vol. 375, Is. 23, 2011, pp. 2230-2233 [DOI]

        A. Pogromsky, N. Kuznetsov, G. Leonov, Pattern generation in diffusive networks: how do those brainless centipedes walk?, Proceedings of the IEEE Conference on Decision and Control, art. no. 6160437, 2011, pp. 7849-7854 [DOI]

        G.A. Leonov, N.V. Kuznetsov, M.V. Yuldashev, R.V. Yuldashev, Computation of Phase Detector Characteristics in Synchronization Systems, Doklady Mathematics, 2011, Vol. 84, No. 1, pp. 586-590 [DOI]

 

2011

        G.A. Leonov, N.V. Kuznetsov, O.A. Kuznetsova, S.M. Seledzhi, V.I. Vagaitsev, Hidden oscillations in dynamical systems, Transaction on Systems and Control, Issue 2, Volume 6, 2011, pp. 54-67

        Leonov G.A., Kuznetsov N.V., Analytical-numerical methods for investigation of hidden oscillations in nonlinear control systems, IFAC Proceedings Volumes (IFAC-PapersOnline), 18(1), 2011, pp. 2494-2505 [DOI] (survey paper 18th IFAC World Congress)

        N.V. Kuznetsov, G.A. Leonov, S.M. Seledzhi, Hidden oscillations in nonlinear control systems, IFAC Proceedings Volumes (IFAC-PapersOnline), 18(1), 2011, pp. 2506-2510 [DOI]

        N.V. Kuznetsov, G.A. Leonov, M.V. Yuldashev, R.V. Yuldashev, Analytical methods for computation of phase-detector characteristics and PLL design, ISSCS 2011 IEEE International Symposium on Signals, Circuits and Systems, Proceedings, 2011, Art. num. 5978639, pp.7-10 [DOI]

        N.V. Kuznetsov, O.A. Kuznetsov, G.A. Leonov, V.I. Vagaitsev, Hidden attractor in Chua's circuits, Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics, Volume 1, 2011, pp. 279-282 [DOI]

        G.A. Leonov, N.V. Kuznetsov, Algorithms for Searching for Hidden Oscillations in the Aizerman and Kalman Problems, Doklady Mathematics, 2011, Vol. 84, No. 1, pp. 475-481 [DOI]

        G.A. Leonov, N.V. Kuznetsov, E.V. Kudryashova, A Direct Method for Calculating Lyapunov Quantities of Two-Dimensional Dynamical Systems, Proceedings of the Steklov Institute of Mathematics, Volume 272, Supplement 1, 2011, pp. 119-127 [DOI]

        G.A. Leonov, N.V. Kuznetsov, S.M. Seledzhi, M.M. Shumafov, Stabilization of unstable control system via design of delayed feedback, International Conference on Applied and Computational Mathematics, 2011, pp.18-25

 

2010

        G.A. Leonov, N.V. Kuznetsov, V.O. Bragin, On Problems of Aizerman and Kalman, Vestnik St. Petersburg University. Mathematics, 2010, Vol. 43, No. 3, pp. 148-162 [DOI] (Allerton Press, USA)

        G.A. Leonov, V.O. Bragin, N.V. Kuznetsov, Algorithm for Constructing Counterexamples to the Kalman Problem, Doklady Mathematics, 2010, Vol. 82, No. 1 pp. 540-542 [DOI]

        G.A. Leonov, V.I. Vagaitsev, N.V. Kuznetsov, Algorithm for localizing Chua attractors based on the harmonic linearization method, Doklady Mathematics, 2010, Vol. 82, No. 1, pp. 663-666 [DOI]

        G.A. Leonov, N.V. Kuznetsov, Limit Cycles of Quadratic Systems with a Perturbed Weak Focus of Order 3 and a Saddle Equilibrium at Infinity, Doklady Mathematics, 2010, Vol. 82, No. 2, 693-696 [DOI]

        G.A. Leonov, N.V. Kuznetsov, S.M. Seledzhi, K.E. Starkov, Localization of the Attractor of the Differential Equations for the Solar Wind-Magnetosphere-Ionosphere Model, Doklady Physics, Vol. 55, No. 9, 2010, pp. 471-473 [DOI]

        G.A. Leonov, S.M. Seledzhi, N.V. Kuznetsov, P. Neittaanmäki, Asymptotic analysis of phase control system for clocks in multiprocessor arrays, ICINCO 2010 - Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics, Vol. 3, 2010, pp. 99-102 [DOI]

        V.O. Bragin, N.V. Kuznetsov, G.A. Leonov, Algorithm for construction of counterexamples to Aizerman's and Kalman's conjecture, IFAC Proceedings Volumes (IFAC-PapersOnline), 4(1), 2010, pp. 24-28 [DOI]

        N.V. Kuznetsov, G.A. Leonov, P. Neittaanmäki, S.M. Seledzhi, M.V. Yuldashev, R.V. Yuldashev, Nonlinear Analysis of Phase-locked loop, IFAC Proceedings Volumes (IFAC-PapersOnline), 4(1), 2010, pp. 34-38 [DOI]

        N.V. Kuznetsov, G.A. Leonov and V.I. Vagaitsev, Analytical-numerical method for attractor localization of generalized Chua's system, IFAC Proceedings Volumes (IFAC-PapersOnline), 4(1), 2010, pp. 29-33 [DOI]

        N.V. Kuznetsov, G.A. Leonov, Lyapunov quantities and limit cycles of two-dimensional dynamical systems, (chapter in "Dynamics and Control of Hybrid Mechanical Systems"), World Scientific, 2010, pp. 7-28 [DOI]

 

2009-2000

        G.A. Leonov, N.V. Kuznetsov, S.M. Seledzhi, Nonlinear Analysis and Design of Phase-Locked Loops, (chapter in "Automation control Theory and Practice), In-Tech, 2009, pp. 89-114 [DOI]

        N.V. Kuznetsov, G.A. Leonov, P. Neittaanmäki S.M. Seledzhi, Analysis and design of computer architecture circuits with controllable delay line, ICINCO 2009 - 6th International Conference on Informatics in Control, Automation and Robotics, Proceedings, Vol. 3 SPSMC, 2009, pp. 221-224 [DOI]

        N.V. Kuznetsov, G.A. Leonov, and S.M. Seledzhi, Nonlinear analysis of the Costas loop and phase-locked loop with squarer, Proceedings of Eleventh IASTED International Conference Signal and Image Processing, Vol. 654, 2009, pp. 1-7 (ACTA Press)

        N. Kuznetsov, G. Leonov, S. Seledzhi, Phase Locked Loops Design And Analysis, ICINCO 2008 - 5th International Conference on Informatics in Control, Automation and Robotics, Proceedings Volume SPSMC, 2008, pp. 114-118 [DOI]

        G.A. Leonov, N.V. Kuznetsov, and E.V. Kudryashova, Cycles of Two-Dimensional Systems: Computer Calculations, Proofs, and Experiments, Vestnik St. Petersburg University. Mathematics, Vol. 41, No. 3, 2008, pp. 216-250 [DOI]

        N.V. Kuznetsov, G.A. Leonov, Lyapunov quantities, limit cycles and strange behavior of trajectories in two-dimensional quadratic systems, Journal of Vibroengineering, Vol. 10, Iss. 4, 2008, pp. 460467

        Kuznetsov N.V., Stability and Oscillations of Dynamical Systems: Theory and Applications. Jyväskylä University Printing House, 2008 [WEB]

        G.A. Leonov, N.V. Kuznetsov, Time-Varying Linearization and the Perron effects, International Journal of Bifurcation and Chaos, Vol. 17, No. 4, 2007, pp. 1079-1107 [DOI]

        N.V. Kuznetsov, V. Reitmann, Realization theory methods for the construction of positively-invariant sets, Proceedings of the 3rd International IEEE Scientific Conference on Physics and Control, 2007

        G.A. Leonov, N.V. Kuznetsov, Computation of the first Lyapunov quantity for the second-order dynamical system, IFAC Proceedings Volumes (IFAC-PapersOnline), 3(1), 2007, pp. 87-89 [DOI]

        N.V. Kuznetsov, G.A. Leonov, H. Nijmeijer, A. Pogromsky, Synchronization of two metronomes, IFAC Proceedings Volumes (IFAC-PapersOnline), 3(1), 2007, pp. 49-52 [DOI]

        N.V. Kuznetsov, G.A. Leonov, S.M. Seledzhi, Analysis of phase-locked systems with discontinuous characteristics of the phase detectors, IFAC Proceedings Volumes (IFAC-PapersOnline), 1(1), 2006, pp. 107-112 [DOI]

        N.V. Kuznetsov, G.A. Leonov, Criteria of stability by the first approximation for discrete nonlinear systems, Vestnik St. Petersburg University. Mathematics. Vol. 38, No. 3, 2005, pp. 21-30 (Allerton Press, USA)

        N.V. Kuznetsov, G.A. Leonov, Criterion of stability to first approximation of nonlinear discrete systems, Vestnik St. Petersburg University. Mathematics. Vol. 38, No. 2, 2005, pp. 52-60 (Allerton Press, USA)

        N.V. Kuznetsov, G.A. Leonov, On stability by the first approximation for discrete systems, 2005 International Conference on Physics and Control, PhysCon 2005, Proceedings Volume 2005, 2005, art. num. 1514053, pp. 596-599 [DOI]

        N. Kouznetsov, V. Reitmann, H. Kantz, Imbedding of causal time-series into a universal nonlinear scattering model of Boltzmann-type, Report of 3rd annual meeting of the DFG-Schwerpunktprogramm 1114, Universitat Bremen, 2004, pp. 1-21

        N.V. Kuznetsov, G.A. Leonov, Stability by the first approximation for discrete systems, Vestnik St.Petersburg University. Mathematics, Vol. 36, No. 1, 2003, pp. 21-27, (Allerton Press, USA)

        N.V. Kuznetsov, Stability of one class of differential-functional equations in the most simple critical case of monotone differentiable nonlinear characteristic, Differential Equations And Control Processes, 3, 2003, pp. 5665 [WEB]

        N.V. Kuznetsov, On the stability of nonlinear systems with the monotonic differentiable nonlinear characteristics, Differential Equations And Control Processes, 1, 2001, pp. 11-16

        A.Kh.Gelig, N.V. Kuznetsov, On the stability of nonlinear systems with the monotonic differentiable nonlinear characteristics, Nonlinear Control Systems 2001, Vols 1-3 (IFAC symposia series), pp. 1237-1240

        A.K. Gelig, N.V. Kuznetsov, Oscillations in pulse-width modulated system, 2nd International conference "Control of Oscillations and Chaos", 2000, Proceedings. Volume 2, pp. 294-295 [DOI]