Gennady A. Leonov

Orcid: 0000-0003-2767-1659

Affiliations:
  • Saint Petersburg State University, Faculty of Mathematics and Mechanics, Russia


According to our database1, Gennady A. Leonov authored at least 74 papers between 1993 and 2022.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2022
Computational Experiments with the Roots of Fibonacci-like Polynomials as a Window to Mathematics Research.
Axioms, 2022

2020
Homoclinic Bifurcations and Chaos in the Fishing Principle for the Lorenz-like Systems.
Int. J. Bifurc. Chaos, 2020

2018
Hidden and self-excited attractors in Chua circuit: synchronization and SPICE simulation.
Int. J. Parallel Emergent Distributed Syst., 2018

Pyragas Stabilizability of Unstable Equilibria by Nonstationary Time-Delayed Feedback.
Autom. Remote. Control., 2018

2017
Scenario of the Birth of Hidden Attractors in the Chua Circuit.
Int. J. Bifurc. Chaos, 2017

A Tribute to J. C. Sprott.
Int. J. Bifurc. Chaos, 2017

Hausdorff-Lebesgue Dimension of Attractors.
Int. J. Bifurc. Chaos, 2017

Hidden Attractors on One Path: Glukhovsky-Dolzhansky, Lorenz, and Rabinovich Systems.
Int. J. Bifurc. Chaos, 2017

Hidden attractors in aircraft control systems with saturated inputs.
CoRR, 2017

Hidden attractors in dynamical models of phase-locked loop circuits: Limitations of simulation in MATLAB and SPICE.
Commun. Nonlinear Sci. Numer. Simul., 2017

Elegant computation of phase-detector characteristics of BPSK Costas loop with non-sinusoidal signals.
Proceedings of the 2017 European Conference on Circuit Theory and Design, 2017

2016
Lyapunov Dimension Formulas for Lorenz-Like Systems.
Int. J. Bifurc. Chaos, 2016

Dynamics of the Zeraoulia-Sprott Map Revisited.
Int. J. Bifurc. Chaos, 2016

Lyapunov dimension formula for the global attractor of the Lorenz system.
Commun. Nonlinear Sci. Numer. Simul., 2016

Tutorial on dynamic analysis of the Costas loop.
Annu. Rev. Control., 2016

2015
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., 2015

Nonlinear dynamical model of Costas loop and an approach to the analysis of its stability in the large.
Signal Process., 2015

Controlling Dynamics of Hidden Attractors.
Int. J. Bifurc. Chaos, 2015

Existence Conditions of Homoclinic Trajectories in Tigan System.
Int. J. Bifurc. Chaos, 2015

Analytic Exact Upper Bound for the Lyapunov Dimension of the Shimizu-Morioka System.
Entropy, 2015

Limitations of PLL simulation: hidden oscillations in SPICE analysis.
CoRR, 2015

A Survey on Dynamic Analysis of the Costas Loop.
CoRR, 2015

Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity.
Commun. Nonlinear Sci. Numer. Simul., 2015

On differences and similarities in the analysis of Lorenz, Chen, and Lu systems.
Appl. Math. Comput., 2015

Limitations of the classical phase-locked loop analysis.
Proceedings of the 2015 IEEE International Symposium on Circuits and Systems, 2015

Simulation of PLL with impulse signals in MATLAB: Limitations, hidden oscillations, and pull-in range.
Proceedings of the 7th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, 2015

Limitations of PLL simulation: Hidden oscillations in MatLab and SPICE.
Proceedings of the 7th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, 2015

Nonlinear Phase Shift Compensator for Pilot-Induced Oscillations Prevention.
Proceedings of the 2015 IEEE European Modelling Symposium, 2015

A short survey on nonlinear models of the classic Costas loop: Rigorous derivation and limitations of the classic analysis.
Proceedings of the American Control Conference, 2015

2014
Pyragas stabilizability via delayed feedback with periodic control gain.
Syst. Control. Lett., 2014

Simulation of Analog Costas Loop Circuits.
Int. J. Autom. Comput., 2014

Control of pneumatically actuated 6-DOF Stewart platform for driving simulator.
Proceedings of the 19th International Conference On Methods and Models in Automation and Robotics, 2014

Simulation of nonlinear models of modified BPSK Costas loop for non sinusoidal waveforms in MatLab Simulink.
Proceedings of the 6th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, 2014

BPSK Costas loop: Simulation of nonlinear models in MatLab Simulink.
Proceedings of the 6th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, 2014

Simulation of nonlinear models of QPSK costas loop in MatLab Simulink.
Proceedings of the 6th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, 2014

Best's conjecture on pull-in range of two-phase Costas loop.
Proceedings of the 6th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops, 2014

Nonlinear Models of BPSK Costas Loop.
Proceedings of the ICINCO 2014 - Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics, Volume 1, Vienna, Austria, 1, 2014

Modeling, Simulation and Control of Pneumatically Actuated Stewart Platform with Input Quantization.
Proceedings of the 2014 European Modelling Symposium, Pisa, Italy, October 21-23, 2014, 2014

2013
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, 2013

Shilnikov Chaos in Lorenz-like Systems.
Int. J. Bifurc. Chaos, 2013

Direct Torque Control of Synchronous Machines with Different Connections in Feed System.
Proceedings of the 5th IFAC International Workshop on Periodic Control Systems, 2013

Speed Regulation of Induction Motors with Wound Rotor.
Proceedings of the 5th IFAC International Workshop on Periodic Control Systems, 2013

Nonlinear Analysis of Phase-Locked Loop with Squarer.
Proceedings of the 5th IFAC International Workshop on Periodic Control Systems, 2013

Hidden Oscillations in Drilling System Actuated by Induction Motor.
Proceedings of the 5th IFAC International Workshop on Periodic Control Systems, 2013

Hidden Oscillations in Aircraft Flight Control System with Input Saturation.
Proceedings of the 5th IFAC International Workshop on Periodic Control Systems, 2013

Prediction of Hidden Oscillations Existence in Nonlinear Dynamical Systems: Analytics and Simulation.
Proceedings of the Nostradamus 2013: Prediction, 2013

Nonlinear Problems in Control of Manufacturing Systems.
Proceedings of the 7th IFAC Conference on Manufacturing Modelling, Management, and Control, 2013

Phase-frequency Domain Model of Costas Loop with Mixer Discriminator.
Proceedings of the ICINCO 2013 - Proceedings of the 10th International Conference on Informatics in Control, Automation and Robotics, Volume 1, Reykjavík, Iceland, 29, 2013

A non-quadratic criterion for stability of forced oscillations and its application to flight control.
Proceedings of the 12th European Control Conference, 2013

2012
Analytical Method for Computation of Phase-Detector Characteristic.
IEEE Trans. Circuits Syst. II Express Briefs, 2012

Simulation of phase-locked loops in phase-frequency domain.
Proceedings of the 4th International Congress on Ultra Modern Telecommunications and Control Systems, 2012

Convergence based anti-windup design method and its application to flight control.
Proceedings of the 4th International Congress on Ultra Modern Telecommunications and Control Systems, 2012

Nonlinear Analysis of Costas Loop Circuit.
Proceedings of the ICINCO 2012 - Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics, Volume 1, Rome, Italy, 28, 2012

2011
A Journey to a Mathematical Frontier with Multiple Computer Tools.
Technol. Knowl. Learn., 2011

Four Normal Size Limit Cycles in Two-Dimensional Quadratic Systems.
Int. J. Bifurc. Chaos, 2011

High-frequency Analysis of Phase-locked Loop and Phase Detector Characteristic Computation.
Proceedings of the ICINCO 2011 - Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics, Volume 1, Noordwijkerhout, The Netherlands, 28, 2011

Hidden Attractor in Chua's Circuits.
Proceedings of the ICINCO 2011 - Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics, Volume 1, Noordwijkerhout, The Netherlands, 28, 2011

Pattern generation in diffusive networks: How do those brainless centipedes walk?
Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, 2011

2010
Computation of Lyapunov quantities and limit cycles.
Proceedings of the 4th IFAC International Workshop on Periodic Control Systems, 2010

Analytical-numerical method for attractor localization of generalized Chua's system.
Proceedings of the 4th IFAC International Workshop on Periodic Control Systems, 2010

Nonlinear analysis of phase-locked loop.
Proceedings of the 4th IFAC International Workshop on Periodic Control Systems, 2010

Algorithm for construction of counterexamples to Aizerman's and Kalman's conjecture.
Proceedings of the 4th IFAC International Workshop on Periodic Control Systems, 2010

Asymptotic Analysis of Phase Control System for Clocks in Multiprocessor Arrays.
Proceedings of the ICINCO 2010, 2010

2009
Analysis and Design of Computer Architecture Circuits with Controllable Delay Line.
Proceedings of the ICINCO 2009, Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics, 2009

2008
Hilbert's 16th Problem for Quadratic Systems: New Methods Based on a Transformation to the Lienard equation.
Int. J. Bifurc. Chaos, 2008

Phase Locked Loops Design and Analysis.
Proceedings of the ICINCO 2008, 2008

2007
Time-Varying Linearization and the Perron Effects.
Int. J. Bifurc. Chaos, 2007

Computation of the first Lyapunov quantity for the second-order dynamical system.
Proceedings of the 3rd IFAC Workshop on Periodic Control Systems, 2007

Synchronization of two metronomes.
Proceedings of the 3rd IFAC Workshop on Periodic Control Systems, 2007

2005
Stability and bifurcations of Phase-Locked Loops for Digital Signal Processors.
Int. J. Bifurc. Chaos, 2005

1999
Stability and oscillations of phase-controlled systems.
Proceedings of the 5th European Control Conference, 1999

Frequency-domain conditions for global synchronization of nonlinear systems driven by a multiharmonic external signal.
Proceedings of the 5th European Control Conference, 1999

1993
Localization of attractors in Multidimensional Chua's Circuit equations.
J. Circuits Syst. Comput., 1993

Global stability and instability of Canonical Chua's Circuits.
Proceedings of the Chua's Circuit: A Paradigm for Chaos, 1993


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