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ORCIDGennady A. Leonov
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- affiliation: Saint Petersburg State University, Faculty of Mathematics and Mechanics, Russia
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2020 – today
- 2022
[j31]Sergei Abramovich
, Nikolay V. Kuznetsov, Gennady A. Leonov:
Computational Experiments with the Roots of Fibonacci-like Polynomials as a Window to Mathematics Research. Axioms 11(2): 48 (2022)- 2020
- [j30]Gennady A. Leonov, R. N. Mokaev, Nikolay V. Kuznetsov, Timur N. Mokaev:
Homoclinic Bifurcations and Chaos in the Fishing Principle for the Lorenz-like Systems. Int. J. Bifurc. Chaos 30(8): 2050124:1-2050124:20 (2020)
2010 – 2019
- 2018
- [j29]Gennady A. Leonov, M. M. Shumafov:
Pyragas Stabilizability of Unstable Equilibria by Nonstationary Time-Delayed Feedback. Autom. Remote. Control. 79(6): 1029-1039 (2018) - [j28]Maria Kiseleva, Elena V. Kudryashova, Nikolay V. Kuznetsov, Olga A. Kuznetsova, Gennady A. Leonov, Marat V. Yuldashev, Renat V. Yuldashev:
Hidden and self-excited attractors in Chua circuit: synchronization and SPICE simulation. Int. J. Parallel Emergent Distributed Syst. 33(5): 513-523 (2018) - 2017
- [j27]Nikolay V. Kuznetsov, Gennady A. Leonov, Marat V. Yuldashev, Renat V. Yuldashev:
Hidden attractors in dynamical models of phase-locked loop circuits: Limitations of simulation in MATLAB and SPICE. Commun. Nonlinear Sci. Numer. Simul. 51: 39-49 (2017) - [j26]Guanrong Chen, Nikolay V. Kuznetsov, Gennady A. Leonov, Timur N. Mokaev:
Hidden Attractors on One Path: Glukhovsky-Dolzhansky, Lorenz, and Rabinovich Systems. Int. J. Bifurc. Chaos 27(8): 1750115:1-1750115:9 (2017) - [j25]Gennady A. Leonov:
Hausdorff-Lebesgue Dimension of Attractors. Int. J. Bifurc. Chaos 27(10): 1750164:1-1750164:6 (2017) - [j24]Nataliya V. Stankevich, Nikolay V. Kuznetsov, Gennady A. Leonov, Leon O. Chua:
Scenario of the Birth of Hidden Attractors in the Chua Circuit. Int. J. Bifurc. Chaos 27(12): 1730038:1-1730038:18 (2017) - [j23]Fahimeh Nazarimehr, Sajad Jafari, Guanrong Chen, Tomasz Kapitaniak, Nikolay V. Kuznetsov, Gennady A. Leonov, Chunbiao Li, Zhouchao Wei:
A Tribute to J. C. Sprott. Int. J. Bifurc. Chaos 27(14): 1750221:1-1750221:14 (2017) - [c39]Nikolay V. Kuznetsov, Gennady A. Leonov, Svetlana M. Seledzhi, Marat V. Yuldashev, Renat V. Yuldashev:
Elegant computation of phase-detector characteristics of BPSK Costas loop with non-sinusoidal signals. ECCTD 2017: 1-4 - [i3]Boris R. Andrievsky, Elena V. Kudryashova, Nikolay V. Kuznetsov, Olga A. Kuznetsova, Gennady A. Leonov:
Hidden attractors in aircraft control systems with saturated inputs. CoRR abs/1711.10302 (2017) - 2016
- [j22]Roland E. Best, Nikolay V. Kuznetsov, Gennady A. Leonov, Marat V. Yuldashev, Renat V. Yuldashev:
Tutorial on dynamic analysis of the Costas loop. Annu. Rev. Control. 42: 27-49 (2016) - [j21]Gennady A. Leonov, Nikolay V. Kuznetsov, N. A. Korzhemanova, D. V. Kusakin:
Lyapunov dimension formula for the global attractor of the Lorenz system. Commun. Nonlinear Sci. Numer. Simul. 41: 84-103 (2016) - [j20]Guanrong Chen, Elena V. Kudryashova, Nikolay V. Kuznetsov, Gennady A. Leonov:
Dynamics of the Zeraoulia-Sprott Map Revisited. Int. J. Bifurc. Chaos 26(7): 1650126:1-1650126:7 (2016) - [j19]Gennady A. Leonov:
Lyapunov Dimension Formulas for Lorenz-Like Systems. Int. J. Bifurc. Chaos 26(14): 1650240:1-1650240:7 (2016) - 2015
- [j18]Gennady A. Leonov, Nikolay V. Kuznetsov:
On differences and similarities in the analysis of Lorenz, Chen, and Lu systems. Appl. Math. Comput. 256: 334-343 (2015) - [j17]Gennady A. Leonov, Nikolay V. Kuznetsov, Timur N. Mokaev:
Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity. Commun. Nonlinear Sci. Numer. Simul. 28(Issues): 166-174 (2015) - [j16]Gennady A. Leonov, Tatyana A. Alexeeva, Nikolay V. Kuznetsov:
Analytic Exact Upper Bound for the Lyapunov Dimension of the Shimizu-Morioka System. Entropy 17(7): 5101-5116 (2015) - [j15]Pooja Rani Sharma, Manish Dev Shrimali, Awadhesh Prasad, Nikolay V. Kuznetsov, Gennady A. Leonov:
Controlling Dynamics of Hidden Attractors. Int. J. Bifurc. Chaos 25(4): 1550061:1-1550061:7 (2015) - [j14]Gennady A. Leonov:
Existence Conditions of Homoclinic Trajectories in Tigan System. Int. J. Bifurc. Chaos 25(13): 1550175:1-1550175:5 (2015) - [j13]Gennady A. Leonov, Nikolay V. Kuznetsov, Marat V. Yuldashev, Renat V. Yuldashev:
Nonlinear dynamical model of Costas loop and an approach to the analysis of its stability in the large. Signal Process. 108: 124-135 (2015) - [j12]Gennady A. Leonov, Nikolay V. Kuznetsov, Marat V. Yuldashev, Renat V. Yuldashev:
Hold-In, Pull-In, and Lock-In Ranges of PLL Circuits: Rigorous Mathematical Definitions and Limitations of Classical Theory. IEEE Trans. Circuits Syst. I Regul. Pap. 62-I(10): 2454-2464 (2015) - [c38]Roland E. Best, Nikolay V. Kuznetsov, Olga A. Kuznetsova, Gennady A. Leonov, Marat V. Yuldashev, Renat V. Yuldashev:
A short survey on nonlinear models of the classic Costas loop: Rigorous derivation and limitations of the classic analysis. ACC 2015: 1296-1302 - [c37]Boris R. Andrievsky, Nikolay V. Kuznetsov, Olga A. Kuznetsova, Gennady A. Leonov, Svetlana M. Seledzhi:
Nonlinear Phase Shift Compensator for Pilot-Induced Oscillations Prevention. EMS 2015: 225-231 - [c36]Giovanni Bianchi, Nikolay V. Kuznetsov, Gennady A. Leonov, Marat V. Yuldashev, Renat V. Yuldashev:
Limitations of PLL simulation: Hidden oscillations in MatLab and SPICE. ICUMT 2015: 79-84 - [c35]Mikhail V. Blagov, Nikolay V. Kuznetsov, Gennady A. Leonov, Marat V. Yuldashev, Renat V. Yuldashev:
Simulation of PLL with impulse signals in MATLAB: Limitations, hidden oscillations, and pull-in range. ICUMT 2015: 85-90 - [c34]Nikolay V. Kuznetsov, Olga A. Kuznetsova, Gennady A. Leonov, P. Neittaanmuaki, Marat V. Yuldashev, Renat V. Yuldashev:
Limitations of the classical phase-locked loop analysis. ISCAS 2015: 533-536 - [i2]Giovanni Bianchi, Nikolay V. Kuznetsov, Gennady A. Leonov, Marat V. Yuldashev, Renat V. Yuldashev:
Limitations of PLL simulation: hidden oscillations in SPICE analysis. CoRR abs/1506.02484 (2015) - [i1]Roland E. Best, Nikolay V. Kuznetsov, Gennady A. Leonov, Marat V. Yuldashev, Renat V. Yuldashev:
A Survey on Dynamic Analysis of the Costas Loop. CoRR abs/1511.04435 (2015) - 2014
- [j11]Roland E. Best, Nikolay V. Kuznetsov, Gennady A. Leonov, Marat V. Yuldashev, Renat V. Yuldashev:
Simulation of Analog Costas Loop Circuits. Int. J. Autom. Comput. 11(6): 571-579 (2014) - [j10]Gennady A. Leonov:
Pyragas stabilizability via delayed feedback with periodic control gain. Syst. Control. Lett. 69: 34-37 (2014) - [c33]Boris R. Andrievsky, Dmitry V. Kazunin, Nikolay V. Kuznetsov, Olga A. Kuznetsova, Gennady A. Leonov, Svetlana M. Seledzhi:
Modeling, Simulation and Control of Pneumatically Actuated Stewart Platform with Input Quantization. EMS 2014: 263-268 - [c32]Elena V. Kudryasoha, Olga A. Kuznetsova, Nikolay V. Kuznetsov, Gennady A. Leonov, Svetlana M. Seledzhi, Marat V. Yuldashev, Renat V. Yuldashev:
Nonlinear Models of BPSK Costas Loop. ICINCO (1) 2014: 704-710 - [c31]Nikolay V. Kuznetsov, Olga A. Kuznetsova, Gennady A. Leonov, Pekka Neittaanmäki, Marat V. Yuldashev, Renat V. Yuldashev:
Simulation of nonlinear models of QPSK costas loop in MatLab Simulink. ICUMT 2014: 66-71 - [c30]Konstantin D. Alexandrov, Nikolay V. Kuznetsov, Gennady A. Leonov, Svetlana M. Seledzhi:
Best's conjecture on pull-in range of two-phase Costas loop. ICUMT 2014: 78-82 - [c29]Nikolay V. Kuznetsov, Olga A. Kuznetsova, Gennady A. Leonov, Svetlana M. Seledzhi, Marat V. Yuldashev, Renat V. Yuldashev:
BPSK Costas loop: Simulation of nonlinear models in MatLab Simulink. ICUMT 2014: 83-87 - [c28]Nikolay V. Kuznetsov, Gennady A. Leonov, Marat V. Yuldashev, Renat V. Yuldashev:
Simulation of nonlinear models of modified BPSK Costas loop for non sinusoidal waveforms in MatLab Simulink. ICUMT 2014: 88-94 - [c27]Boris R. Andrievsky, Dmitry V. Kazunin, Daria M. Kostygova, Nikolay V. Kuznetsov, Gennady A. Leonov, Pavel Lobanov, Andrey Volkov:
Control of pneumatically actuated 6-DOF Stewart platform for driving simulator. MMAR 2014: 663-668 - 2013
- [j9]Gennady A. Leonov, Nikolay V. Kuznetsov:
Hidden attractors in Dynamical Systems. From Hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman Problems to Hidden Chaotic Attractor in Chua Circuits. Int. J. Bifurc. Chaos 23(1) (2013) - [j8]Gennady A. Leonov:
Shilnikov Chaos in Lorenz-like Systems. Int. J. Bifurc. Chaos 23(3) (2013) - [c26]Alexander Yu. Pogromsky, Alexey S. Matveev, Boris R. Andrievsky, Gennady A. Leonov, Nikolay V. Kuznetsov:
A non-quadratic criterion for stability of forced oscillations and its application to flight control. ECC 2013: 4293-4298 - [c25]Nikolay V. Kuznetsov, Gennady A. Leonov, Pekka Neittaanmäki, Svetlana M. Seledzhi, Marat V. Yuldashev, Renat V. Yuldashev:
Phase-frequency Domain Model of Costas Loop with Mixer Discriminator. ICINCO (1) 2013: 427-433 - [c24]Gennady A. Leonov, Alexander Yu. Pogromsky, Konstantin K. Starkov, Boris R. Andrievsky, Nikolay V. Kuznetsov, Ivo J. B. F. Adan:
Nonlinear Problems in Control of Manufacturing Systems. MIM 2013: 33-42 - [c23]Gennady A. Leonov, Nikolay V. Kuznetsov:
Prediction of Hidden Oscillations Existence in Nonlinear Dynamical Systems: Analytics and Simulation. NOSTRADAMUS 2013: 5-13 - [c22]Alexander Zaretskiy, Elena Solovyeva, Gennady A. Leonov:
Direct Torque Control of Synchronous Machines with Different Connections in Feed System. PSYCO 2013: 53-58 - [c21]Boris R. Andrievsky, Nikolay V. Kuznetsov, Gennady A. Leonov, Alexander Yu. Pogromsky:
Hidden Oscillations in Aircraft Flight Control System with Input Saturation. PSYCO 2013: 75-79 - [c20]Nikolay V. Kuznetsov, Gennady A. Leonov, Svetlana M. Seledzhi, Marat V. Yuldashev, Renat V. Yuldashev:
Nonlinear Analysis of Phase-Locked Loop with Squarer. PSYCO 2013: 80-85 - [c19]Maria Kiseleva, Nikolay V. Kuznetsov, Gennady A. Leonov, Pekka Neittaanmäki:
Hidden Oscillations in Drilling System Actuated by Induction Motor. PSYCO 2013: 86-89 - [c18]Elena Solovyeva, Gennady A. Leonov, Alexander Zaretskiy:
Speed Regulation of Induction Motors with Wound Rotor. PSYCO 2013: 90-94 - 2012
- [j7]Gennady A. Leonov, Nikolay V. Kuznetsov, Marat V. Yuldashev, Renat V. Yuldashev:
Analytical Method for Computation of Phase-Detector Characteristic. IEEE Trans. Circuits Syst. II Express Briefs 59-II(10): 633-637 (2012) - [c17]Nikolay V. Kuznetsov, Gennady A. Leonov, Marat V. Yuldashev, Renat V. Yuldashev:
Nonlinear Analysis of Costas Loop Circuit. ICINCO (1) 2012: 557-560 - [c16]Boris R. Andrievsky, Nikolay V. Kuznetsov, Gennady A. Leonov, Alexander Yu. Pogromsky:
Convergence based anti-windup design method and its application to flight control. ICUMT 2012: 212-218 - [c15]Nikolay V. Kuznetsov, Gennady A. Leonov, Pekka Neittaanmäki, Svetlana M. Seledzhi, Marat V. Yuldashev, Renat V. Yuldashev:
Simulation of phase-locked loops in phase-frequency domain. ICUMT 2012: 351-356 - 2011
- [j6]Gennady A. Leonov:
Four Normal Size Limit Cycles in Two-Dimensional Quadratic Systems. Int. J. Bifurc. Chaos 21(2): 425-429 (2011) - [j5]Sergei Abramovich, Gennady A. Leonov:
A Journey to a Mathematical Frontier with Multiple Computer Tools. Technol. Knowl. Learn. 16(1): 87-96 (2011) - [c14]Alexander Yu. Pogromsky, Nikolay V. Kuznetsov, Gennady A. Leonov:
Pattern generation in diffusive networks: How do those brainless centipedes walk? CDC/ECC 2011: 7849-7854 - [c13]Nikolay V. Kuznetsov, Gennady A. Leonov, Pekka Neittaanmäki, Svetlana M. Seledzhi, Marat V. Yuldashev, Renat V. Yuldashev:
High-frequency Analysis of Phase-locked Loop and Phase Detector Characteristic Computation. ICINCO (1) 2011: 272-278 - [c12]Nikolay V. Kuznetsov, Olga A. Kuznetsova, Gennady A. Leonov, V. I. Vagaytsev:
Hidden Attractor in Chua's Circuits. ICINCO (1) 2011: 279-283 - 2010
- [c11]Gennady A. Leonov, Svetlana M. Seledzhi, Nikolay V. Kuznetsov, Pekka Neittaanmäki:
Asymptotic Analysis of Phase Control System for Clocks in Multiprocessor Arrays. ICINCO (3) 2010: 99-102 - [c10]V. O. Bragin, Nikolay V. Kuznetsov, Gennady A. Leonov:
Algorithm for construction of counterexamples to Aizerman's and Kalman's conjecture. PSYCO 2010: 24-28 - [c9]Nikolay V. Kuznetsov, Gennady A. Leonov, Vladimir I. Vagaitsev:
Analytical-numerical method for attractor localization of generalized Chua's system. PSYCO 2010: 29-33 - [c8]Nikolay V. Kuznetsov, Gennady A. Leonov, Pekka Neittaanmäki, Svetlana M. Seledzhi, Marat V. Yuldashev, Renat V. Yuldashev:
Nonlinear analysis of phase-locked loop. PSYCO 2010: 34-38 - [c7]Olga A. Kuznetsova, Gennady A. Leonov:
Computation of Lyapunov quantities and limit cycles. PSYCO 2010: 39-44
2000 – 2009
- 2009
- [c6]Nikolay V. Kuznetsov, Gennady A. Leonov, Svetlana M. Seledzhi, Pekka Neittaanmäki:
Analysis and Design of Computer Architecture Circuits with Controllable Delay Line. ICINCO-SPSMC 2009: 221-224 - 2008
- [j4]Gennady A. Leonov:
Hilbert's 16th Problem for Quadratic Systems: New Methods Based on a Transformation to the Lienard equation. Int. J. Bifurc. Chaos 18(3): 877-884 (2008) - [c5]Nikolay V. Kuznetsov, Gennady A. Leonov, Svetlana M. Seledzhi:
Phase Locked Loops Design and Analysis. ICINCO-SPSMC 2008: 114-118 - 2007
- [j3]Gennady A. Leonov, Nikolay V. Kuznetsov:
Time-Varying Linearization and the Perron Effects. Int. J. Bifurc. Chaos 17(4): 1079-1107 (2007) - [c4]Nikolay V. Kuznetsov, Gennady A. Leonov, Henk Nijmeijer, Alexander Yu. Pogromsky:
Synchronization of two metronomes. PSYCO 2007: 49-52 - [c3]Gennady A. Leonov, Nikolay V. Kuznetsov:
Computation of the first Lyapunov quantity for the second-order dynamical system. PSYCO 2007: 87-89 - [e1]Gennady A. Leonov, Alexander L. Fradkov:
3rd IFAC Workshop on Periodic Control Systems, PSYCO 2007, Saint Petersburg, Russia, August 29-31, 2007. International Federation of Automatic Control 2007, ISBN 978-3-902661-30-2 [contents] - 2005
- [j2]Gennady A. Leonov, Svetlana M. Seledzhi:
Stability and bifurcations of Phase-Locked Loops for Digital Signal Processors. Int. J. Bifurc. Chaos 15(4): 1347-1360 (2005)
1990 – 1999
- 1999
- [c2]Gennady A. Leonov, Vera B. Smirnova:
Stability and oscillations of phase-controlled systems. ECC 1999: 3435-3439 - [c1]Alexander L. Fradkov, Gennady A. Leonov, Henk Nijmeijer:
Frequency-domain conditions for global synchronization of nonlinear systems driven by a multiharmonic external signal. ECC 1999: 4626-4630 - 1993
- [j1]Gennady A. Leonov, Vera B. Smirnova:
Localization of attractors in Multidimensional Chua's Circuit equations. J. Circuits Syst. Comput. 3(2): 497-506 (1993) - [p1]Gennady A. Leonov, D. V. Ponomarenko, Vera B. Smirnova, Leon O. Chua:
Global stability and instability of Canonical Chua's Circuits. Chua's Circuit 1993: 725-739
Coauthor Index
[j31] [j30] [j28] [j27] [j26] [j24] [j23] [c39] [i3] [j22] [j21] [j20] [j18] [j17] [j16] [j15] [j13] [j12] [c38] [c37] [c36] [c35] [c34] [i2] [i1] [j11] [c33] [c32] [c31] [c30] [c29] [c28] [c27] [j9] [c26] [c25] [c24] [c23] [c21] [c20] [c19] [j7] [c17] [c16] [c15] [c14] [c13] [c12] [c11] [c10] [c9] [c8] [c6] [c5] [j3] [c4] [c3]
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