Gennady Leonov

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Gennady Leonov is affiliated with the following schools: City University of Hong Kong, University of Jyväskylä, Saint Petersburg State University

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Gennady Leonov

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According to Wikipedia, Gennady Alexeyevich Leonov was a Russian scientist, Correspondent Member of the Russian Academy of Sciences , Professor at the Saint Petersburg State University, Doctor of Sciences. Laureate of the 1986 USSR State Prize and 2012 Aleksandr Andronov Russian Academy of Sciences Prize.

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Gennady Leonov's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Hidden attractors in Dynamical Systems. From Hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman Problems to Hidden Chaotic Attractor in Chua Circuits (2013) (743)
Hidden attractors in dynamical systems (2016) (613)
Localization of hidden Chuaʼs attractors (2011) (568)
Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion (2015) (375)
Hidden attractor in smooth Chua systems (2012) (351)
Stability of Stationary Sets in Control Systems With Discontinuous Nonlinearities (2004) (321)
Time-Varying Linearization and the Perron Effects (2007) (273)
Hidden oscillations in mathematical model of drilling system actuated by induction motor with a wound rotor (2014) (261)
Frequency-Domain Methods for Nonlinear Analysis: Theory and Applications (1996) (228)
Control of multistability in hidden attractors (2015) (208)
Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity (2015) (207)
Analytical-numerical method for attractor localization of generalized Chua's system (2010) (195)
Strange attractors and classical stability theory (2006) (149)
Hidden attractors in dynamical models of phase-locked loop circuits: Limitations of simulation in MATLAB and SPICE (2017) (139)
Frequency Methods in Oscillation Theory (1995) (138)
Hidden oscillations in dynamical systems (2011) (137)
Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system (2015) (135)
On differences and similarities in the analysis of Lorenz, Chen, and Lu systems (2014) (130)
Non-local methods for pendulum-like feedback systems (1992) (124)
Controlling Dynamics of Hidden Attractors (2015) (121)
Hold-In, Pull-In, and Lock-In Ranges of PLL Circuits: Rigorous Mathematical Definitions and Limitations of Classical Theory (2015) (111)
Lyapunov's direct method in the estimation of the Hausdorff dimension of attractors (1992) (110)
Bounds for attractors and the existence of homoclinic orbits in the lorenz system (2001) (108)
Hidden attractors in dynamical systems: systems with no equilibria, multistability and coexisting attractors (2014) (98)
Multistability: Uncovering hidden attractors (2015) (96)
Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations (2014) (95)
General existence conditions of homoclinic trajectories in dissipative systems. Lorenz, Shimizu–Morioka, Lu and Chen systems (2012) (91)
Hidden oscillations in nonlinear control systems (2011) (86)
Analytical Method for Computation of Phase-Detector Characteristic (2012) (82)
On stability by the first approximation for discrete systems (2005) (81)
Algorithms for searching for hidden oscillations in the Aizerman and Kalman problems (2011) (74)
Lyapunov dimension formula for the global attractor of the Lorenz system (2015) (70)
Phase synchronization: Theory and applications (2006) (70)
Scenario of the Birth of Hidden Attractors in the Chua Circuit (2017) (62)
Hidden Oscillations in Aircraft Flight Control System with Input Saturation (2013) (61)
Hidden Attractors on One Path: Glukhovsky-Dolzhansky, Lorenz, and Rabinovich Systems (2017) (57)
Analytical-Numerical Localization of Hidden Attractor in Electrical Chua’s Circuit (2013) (56)
Nonlinear mathematical models of phase-locked loops : stability and oscillations (2014) (56)
Analytical-numerical methods for investigation of hidden oscillations in nonlinear control systems (2011) (54)
Nonlinear dynamical model of Costas loop and an approach to the analysis of its stability in the large (2015) (54)
Hidden attractors in electromechanical systems with and without equilibria (2016) (54)
Shilnikov Chaos in Lorenz-like Systems (2013) (52)
Lyapunov functions in the attractors dimension theory (2012) (52)
Tutorial on dynamic analysis of the Costas loop (2015) (47)
Mathematical problems of control theory : an introduction (2001) (45)
Fishing principle for homoclinic and heteroclinic trajectories (2014) (45)
Hidden Attractor in Chua's Circuits (2011) (44)
Stability and bifurcations of Phase-Locked Loops for Digital Signal Processors (2005) (38)
Analytical-Numerical Methods for Hidden Attractors’ Localization: The 16th Hilbert Problem, Aizerman and Kalman Conjectures, and Chua Circuits (2013) (38)
Homoclinic orbit and hidden attractor in the Lorenz-like system describing the fluid convection motion in the rotating cavity (2014) (37)
Local instability and localization of attractors. From stochastic generator to Chua's systems (1995) (37)
Aircraft control with anti-windup compensation (2012) (35)
Existence criterion of homoclinic trajectories in the Glukhovsky–Dolzhansky system (2015) (35)
Limitations of PLL simulation: Hidden oscillations in MatLab and SPICE (2015) (35)
Limitations of the classical phase-locked loop analysis (2015) (34)
The tricomi problem for the Shimizu-Morioka dynamical system (2012) (33)
Rigorous mathematical definitions of the hold-in and pull-in ranges for phase-locked loops (2015) (33)
Design of Convergent Switched Systems (2006) (33)
Hidden attractor in the Rabinovich system, Chua circuits and PLL (2016) (32)
Simulation of Analog Costas Loop Circuits (2014) (32)
A short survey on nonlinear models of the classic Costas loop: Rigorous derivation and limitations of the classic analysis (2015) (32)
Limit cycles of quadratic systems with a perturbed weak focus of order 3 and a saddle equilibrium at infinity (2010) (31)
Visualization of Four Normal Size Limit Cycles in Two-Dimensional Polynomial Quadratic System (2013) (31)
Hidden and self-excited attractors in Chua circuit: synchronization and SPICE simulation (2018) (31)
Hidden Oscillations in Dynamical Systems. 16 Hilbert’s Problem, Aizerman’s and Kalman’s Conjectures, Hidden Attractors in Chua’s Circuits (2014) (30)
Hidden oscillations in SPICE simulation of two-phase Costas loop with non-linear VCO (2016) (30)
Prediction of Hidden Oscillations Existence in Nonlinear Dynamical Systems: Analytics and Simulation (2013) (29)
Efficient methods in the search for periodic oscillations in dynamical systems (2010) (29)
IWCFTA2012 Keynote Speech I - Hidden attractors in dynamical systems: From hidden oscillation in Hilbert-Kolmogorov, Aizerman and Kalman problems to hidden chaotic attractor in Chua circuits (2012) (28)
Dynamics and Control of Hybrid Mechanical Systems (2010) (28)
Criteria for the existence of homoclinic orbits of systems Lu and Chen (2013) (27)
The dimension formula for the Lorenz attractor (2011) (26)
Cycles of two-dimensional systems: Computer calculations, proofs, and experiments (2008) (26)
Drilling systems failures and hidden oscillations (2012) (26)
Nonlinear Analysis and Design of Phase-Locked Loops (2009) (25)
Nonlinear analysis of classical phase-locked loops in signal's phase space (2014) (25)
Hidden oscillations in stabilization system of flexible launcher with saturating actuators (2013) (25)
Synchronization of two metronomes (2007) (24)
A short survey on Pyragas time-delay feedback stabilization and odd number limitation (2015) (23)
Lyapunov’s direct method in estimates of topological entropy (1998) (22)
Analytic Exact Upper Bound for the Lyapunov Dimension of the Shimizu-Morioka System (2015) (21)
ON STABILITY IN THE FIRST APPROXIMATION (1998) (21)
Formulas for the Lyapunov dimension of attractors of the generalized Lorenz system (2013) (21)
Computation of phase detector characteristics in phase locked loops for clock synchronization (2008) (21)
BROCKETT'S PROBLEM IN THE THEORY OF STABILITY OF LINEAR DIFFERENTIAL EQUATIONS (2002) (20)
Hausdorff and Fractal Dimension Estimates for Invariant Sets of Non-Injective Maps (1998) (20)
Hilbert's 16th Problem for Quadratic Systems: New Methods Based on a Transformation to the Lienard equation (2007) (20)
Localization of a hidden attractor in the Rabinovich system (2015) (19)
Limit cycles of the lienard equation with discontinuous coefficients (2009) (19)
Computation of the first Lyapunov quantity for the second-order dynamical system (2007) (18)
Pyragas stabilizability via delayed feedback with periodic control gain (2014) (18)
Asymptotic orbital stability conditions for flows by estimates of singular values of the linearization (2001) (18)
Lyapunov Quantities and Limit Cycles of Two-dimensional Dynamical Systems (2010) (18)
Hidden attractors localization in Chua circuit via the describing function method (2017) (18)
Localization of hidden attractors in smooth Chua's systems (2011) (17)
Hidden Periodic Oscillations in Drilling System Driven by Induction Motor (2014) (17)
The Brockett Problem for Linear Discrete Control Systems (2002) (16)
On the global stability of the forced motions of a liquid within an ellipsoid (1988) (16)
On the boundedness of the trajectories of phase systems (1974) (16)
Convergence based anti-windup design method and its application to flight control (2012) (16)
Lyapunov quantities, limit cycles and strange behavior of trajectories in two-dimensional quadratic systems (2008) (16)
Analytical methods for computation of phase-detector characteristics and PLL design (2011) (16)
Hidden Oscillations in Electromechanical Systems (2017) (16)
Pendulum-Like Systems (1992) (15)
Counterexample of Perron in the Discrete Case (2001) (15)
On the method of harmonic linearization (2009) (15)
Simulation of nonlinear models of QPSK costas loop in MatLab Simulink (2014) (14)
Phase Locked Loops Design and Analysis (2008) (14)
Strange attractors and classical stability theory: Stability, instability, lyapunov exponents and chaos (2016) (13)
COMPUTATION OF LYAPUNOV QUANTITIES (2008) (13)
THE FREQUENCY THEOREM (KALMAN-YAKUBOVICH LEMMA) IN CONTROL THEORY (1996) (13)
Necessary and sufficient conditions of the existence of homoclinic trajectories and cascade of bifurcations in Lorenz-like systems: birth of strange attractor and 9 homoclinic bifurcations (2016) (13)
Stability and Oscillations of Solutions of Integro-Differential Equations of Pendulum—like Systems (1996) (13)
On the Aizerman problem (2009) (13)
Hidden Oscillations in Drilling Systems: Torsional Vibrations (2013) (13)
Methods for suppressing nonlinear oscillations in astatic auto-piloted aircraft control systems (2017) (13)
Spreadsheets and the discovery of new knowledge (2009) (13)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: On estimates of the bifurcation values of the parameters of a Lorentz system (1988) (12)
Lyapunov Functions in the Global Analysis of Chaotic Systems (2018) (12)
Design of phase-locked loops for digital signal processors (2005) (12)
BPSK Costas loop: Simulation of nonlinear models in MatLab Simulink (2014) (12)
A Tribute to J. C. Sprott (2017) (12)
The Tricomi problem on the existence of homoclinic orbits in dissipative systems (2013) (12)
On the harmonic linearization method (2009) (12)
Control of pneumatically actuated 6-DOF Stewart platform for driving simulator (2014) (12)
Pull-in range of the PLL-based circuits with proportionally-integrating filter∗ (2015) (12)
Hidden Oscillation in Dynamical Systems (2010) (11)
Global Problems for Differential Inclusions. Kalman and Vyshnegradskii Problems and Chua Circuits (2017) (11)
Hidden Oscillations In The Closed-Loop Aircraft-Pilot System And Their Prevention* *This work was supported by Russian Science Foundation (project 14-21-00041) and Saint-Petersburg State University. (2016) (11)
Analysis and Design of Computer Architecture Circuits with Controllable Delay Line (2018) (11)
Differential equations of Costas loop (2012) (11)
A non-quadratic criterion for stability of forced oscillations and its application to flight control (2013) (11)
A simple dynamical model of hydropower plant: stability and oscillations (2015) (11)
Discontinuous differential equations: comparison of solution definitions and localization of hidden Chua attractors (2015) (11)
Nonlinear analysis of the Costas loop and phase-locked loop with squarer (2009) (11)
Phase-Detector Characteristic of Classical PLL for General Case of Linear Filter (2014) (10)
Rössler systems: Estimates for the dimension of attractors and homoclinic orbits (2014) (10)
Stabilization of Controllable Linear Systems (2010) (10)
A class of dynamical systems with cylindrical phase spaces (1976) (10)
On the Brockett stabilization problem (2000) (10)
Nonlinear models of BPSK Costas loop (2014) (10)
High-frequency Analysis of Phase-locked Loop and Phase Detector Characteristic Computation (2011) (10)
Delayed feedback stabilization of unstable equilibria (2014) (9)
A short survey on Lyapunov dimension for finite dimensional dynamical systems in Euclidean space (2015) (9)
On Flutter Suppression in the Keldysh Model (2018) (9)
Hidden Oscillations in Drilling System Actuated by Induction Motor (2013) (9)
Simple adaptive control for airfoil flutter suppression (2018) (9)
The Lyapunov dimension formula of self-excited and hidden attractors in the Glukhovsky-Dolzhansky system (2015) (9)
The Lyapunov dimension and its computation for self-excited and hidden attractors in the Glukhovsky-Dolzhansky fluid convection model (2015) (9)
Convergence-based Analysis of Robustness to Delay in Anti-windup Loop of Aircraft Autopilot (2015) (9)
On the problem of estimation of the number of cycles in two-dimensional quadratic systems from the viewpoint of nonlinear mechanics (1998) (9)
On a special type of stability of differential equations for induction machines with double squirrel-cage rotor (2012) (9)
Fibonacci numbers revisited: technology-motivated inquiry into a two-parametric difference equation (2008) (9)
Estimation of Lyapunov dimension for the Chen and Lu systems (2015) (9)
The nonlocal reduction method in analyzing the stability of differential equations of induction machines (2012) (9)
Computation of phase detector characteristics in synchronization systems (2011) (8)
Stability and oscillations of phase systems (1975) (8)
The Brocket Stabilization Problem (2001) (8)
Nonlinear mathematical models of Costas Loop for general waveform of input signal (2012) (8)
Nonlinear Analysis of Phase-Locked Loop (PLL): Global Stability Analysis, Hidden Oscillations and Simulation Problems (2014) (8)
Vibrational stabilization and the Brockett problem (2011) (8)
ANALYSIS OF PHASE-LOCKED SYSTEMS WITH DISCONTINUOUS CHARACTERISTICS (2006) (8)
Elegant analytic computation of phase detector characteristic for non-sinusoidal signals (2015) (8)
Hidden oscillations in drilling systems with salient pole synchronous motor (2015) (8)
Nonlinear Phase Shift Compensator for Pilot-Induced Oscillations Prevention (2015) (8)
Computation of the lock-in ranges of phase-locked loops with PI filter (2016) (8)
Global stability and oscillations of dynamical systems describing synchronous electrical machines (2012) (8)
Erratum to “The dimension formula for the Lorenz attractor” [Phys. Lett. A 375 (8) (2011) 1179] (2012) (8)
Nonlinear Analysis of Phase-locked Loop-Based Circuits (2014) (8)
The second liapunov method in the theory of phase synchronization: PMM vol. 40, n≗ 2, 1976, pp. 238–244 (1976) (8)
Asymptotic Analysis of Phase Control System for Clocks in Multiprocessor Arrays (2018) (8)
Linear non-stationary stabilization algorithms and Brockett's problem (2001) (8)
ATTRACTORS , LIMIT CYCLES AND HOMOCLINIC ORBITS OF LOW DIMENSIONAL QUADRATIC SYSTEMS (8)
Pyragas stabilization of discrete systems via delayed feedback with periodic control gain (2016) (7)
Lyapunov dimension formula of attractors in the Tigan and Yang systems (2015) (7)
The stability of frequency-phase locked automatic frequency control systems (1992) (7)
Simulation of phase-locked loops in phase-frequency domain (2012) (7)
Computation of the phase detector characteristic of a QPSK Costas loop (2016) (7)
Pattern generation in diffusive networks: How do those brainless centipedes walk? (2011) (7)
A criterion for the existence of four limit cycles in quadratic systems (2010) (7)
Homoclinic Bifurcations and Chaos in the Fishing Principle for the Lorenz-like Systems (2020) (7)
Cascade of bifurcations in Lorenz-like systems: Birth of a strange attractor, blue sky catastrophe bifurcation, and nine homoclinic bifurcations (2015) (7)
Necessary and Sufficient Conditions for the Absolute Stability of Two-Dimensional Time-Varying Systems (2005) (7)
Hidden and self-excited attractors in electromechanical systems with and without equilibria (2016) (7)
On the Keldysh Problem of Flutter Suppression. (2018) (7)
Localization of the attractors of the non-autonomous Liénard equation by the method of discontinuous comparison systems (1996) (7)
Four limit cycles in quadratic two-dimensional systems with a perturbed first-order weak focus (2010) (6)
Global stability and instability of Canonical Chua's Circuits (1993) (6)
Drilling Systems: Stability and Hidden Oscillations (2014) (6)
Dynamics of the Zeraoulia-Sprott Map Revisited (2016) (6)
Stabilizing unstable periodic orbits of dynamical systems using delayed feedback control with periodic gain (2018) (6)
Best's conjecture on pull-in range of two-phase Costas loop (2014) (6)
Simulation of PLL with impulse signals in MATLAB: Limitations, hidden oscillations, and pull-in range (2015) (6)
Algorithm for construction of counterexamples to Aizerman's and Kalman's conjecture (2010) (6)
Generalized Lorenz Equations for Acoustic-Gravity Waves in the Atmosphere. Attractors Dimension, Convergence and Homoclinic Trajectories (2017) (6)
Limitations of PLL simulation: hidden oscillations in SPICE analysis (2015) (6)
Shadowing in hidden attractors (2018) (6)
Frequency conditions for the existence of nontrivial periodic solutions in autonomous systems (1973) (6)
Nonlinear Analysis of Costas Loop Circuit (2018) (5)
2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP) Technical Program Committee (2015) (5)
Hausdorff-Lebesgue Dimension of Attractors (2017) (5)
Stability of phase systems (1974) (5)
Modeling, Simulation and Control of Pneumatically Actuated Stewart Platform with Input Quantization (2014) (5)
Stability domain analysis of an antiwindup control system for an unstable object (2012) (5)
Stability of electromechanical models of drilling systems under discontinuous loads (2012) (5)
Mathematical models of electrical machines (2009) (5)
Computation of lock-in range for classic PLL with lead-lag filter and impulse signals (2016) (5)
Lyapunov dimension formulas for Lorenz-like systems (2016) (5)
The passage through resonance of synchronous electric motors mounted on an elastic base (2008) (5)
Existence criteria for cycles in two-dimensional quadratic systems (2007) (5)
Four Normal Size Limit Cycles in Two-Dimensional Quadratic Systems (2011) (5)
A Journey to a Mathematical Frontier with Multiple Computer Tools (2011) (4)
Mathematical models of the Costas loop (2015) (4)
NONLOCAL REDUCTION METHOD IN DIFFERENTIAL EQUATIONS THEORY (1989) (4)
Pendulum with Positive and Negative Dry Friction.: Continuum of Homoclinic Orbits (1995) (4)
Differential Equations of Controlled Pneumatic Actuators for 6-DOF Stewart Platform (2015) (4)
The global stability of the steady rotations of a solid (1992) (4)
Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective ﬂuid motion Homoclinic orbits, and self-excited and hidden attractors (2015) (4)
STRATIFICATION OF APPROXIMATING SURFACES FOR THE LORENZ ATTRACTOR (2009) (4)
Stabilization of unstable control system via design of delayed feedback (2011) (4)
Pull-in range of the classical PLL with impulse signals (2015) (4)
Nonlinear analysis of phase-locked loop (2010) (4)
On the global stability of the lorentz system (1983) (4)
Finite-time and exact Lyapunov dimension of the Henon map (2017) (4)
Convergent Solutions of Ordinary and Functional-Differential Pendulum-Like Equations (1992) (4)
Negative solution of the Kalman problem and proof of the existence of a hidden strange attractor via a discontinuous approximation method (2017) (4)
A Modification of Perron's Counterexample (2003) (4)
The localization of attractors of the Liénard equation (2002) (3)
Instability in the first approximation for time-dependent linearizations (2002) (3)
Nonlinear analysis of PLL by the harmonic balance method (2017) (3)
Computation of the phase detector characteristic of classical PLL (2015) (3)
The global stability of two-dimensional systems for controlling angular orientation (2000) (3)
Lyapunov Exponent Sign Reversal: Stability and Instability by the First Approximation (2014) (3)
On the stability in the large of nonlinear systems in the critical case of two zero roots (1981) (3)
Existence Conditions of Homoclinic Trajectories in Tigan System (2015) (3)
Speed Regulation of Induction Motors with Wound Rotor (2013) (3)
Localization of hidden Chua attractors by the describing function method (2017) (3)
Synthesis of two-dimensional quadratic systems with a limit cycle satisfying prescribed initial conditions (2010) (3)
Simulation of nonlinear models of modified BPSK Costas loop for non sinusoidal waveforms in MatLab Simulink (2014) (3)
Hidden oscillations in mathematical model of drilling system actuated by induction motor with a wound rotor (2014) (3)
Pyragas Stabilizability of Unstable Equilibria by Nonstationary Time-Delayed Feedback (2018) (3)
Necessary and sufficient conditions for the boundedness of solutions to two-dimensional quadratic systems in a positively invariant half-plane (2010) (3)
Switching Algorithm for Data Fusion of Small Low-Cost UAV Navigation System (2013) (3)
Anatolii Moiseevich Vershik (on his sixtieth birthday) (1994) (3)
First-approximation instability criteria for non-stationary linearizations (2004) (3)
Lyapunov Dimension of Attractors of the Lorenz-Like Differential Equations (2016) (3)
Discrete phase-locked loop systems and spreadsheets (2005) (3)
Delayed feedback stabilization and the Huijberts–Michiels–Nijmeijer problem (2016) (3)
Lock-in range of PLL-based circuits with proportionally-integrating filter and sinusoidal phase detector characteristic (2016) (3)
Reduction method for integrodifferential equations (1980) (3)
Numerical Visualization of Attractors: Self-Exciting and Hidden Attractors (2016) (3)
Vladimir Andreevich Yakubovich (2006) (3)
A short survey on nonlinear models of QPSK Costas loop (2017) (3)
Localization of attractors in Multidimensional Chua's Circuit equations (1993) (3)
Modeling and identification of the Tunisian social system in 2011-2014: bifurcation, revolution, and controlled stabilization (2015) (2)
Mathematical models of phase syncronization systems with quadrature and phase-quadrature units (2008) (2)
V. A. Yakubovich -mathematician, "father of the field", and herald of intellectual democracy in science and society (2015) (2)
Global stability of phase-locked loops (2007) (2)
The orbital stability of the trajectories of dynamic systems (1990) (2)
Nonlinear Problems in Control of Manufacturing Systems (2013) (2)
Harmonic Balance Method and Stability of Discontinuous Systems (2019) (2)
Homoclinic Bifurcations of the Merging Strange Attractors in the Lorenz-like System (2018) (2)
Solution of the Gardner problem on the lock-in range of phase-locked loop (2017) (2)
THE PASSING THROUGH RESONANCE OF SYNCHRONOUS MACHINE ON ELASTIC PLATFORM (2008) (2)
Asymptotic behavior of solutions of differential equations describing synchronous machines (2012) (2)
Method of asymptotic integration for solutions of Lorenz-type systems (2015) (2)
Analytical analysis of a Nose–Hoover generator (2016) (2)
A Survey on Dynamic Analysis of the Costas Loop (2015) (2)
Workspaces of the Stewart platform in the 6D space of generalized coordinates (2017) (2)
Learning to Develop and use Software Products: Some Common Aspects of Educational Preparation of Mathematicians and Schoolteachers (2013) (2)
Limit cycles in quadratic systems with a first-order weak focus (2010) (2)
Lock-in range of classical PLL with impulse signals and proportionally-integrating filter (2016) (2)
Dynamic principles of prognosis and control (2011) (2)
Orbital stability and problems of nonlocal dynamics (1990) (1)
One method of constructing positively invariant sets for a lorenz system (1985) (1)
Exact Lyapunov dimension of attractors and convergence for the Lorenz system (2018) (1)
A dynamical model of Sayano-Shushenskaya hydropower plant: stability, oscillations, and accident (2015) (1)
Oscillations in systems with non-linear damping (1993) (1)
SHUKOVSKY STABILITY IN DYNAMICAL SYSTEMS. GENERALIZATION OF ANDRONOV--WITT THEOREM (2007) (1)
Foundations of Theory of Differential Equations with Discontinuous Right-Hand Sides (2004) (1)
Tunisia 2011–2014. Bifurcation, revolution, and controlled stabilization (2016) (1)
Theory of Differential Inclusions and Its Application in Mechanics (2018) (1)
Vladimir Andreevich Yakubovich [Obituary] (2013) (1)
Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system (2018) (1)
Lyapunov Functions in Dimension Estimates of Attractors of Dynamical Systems (2003) (1)
Integro-Differential Equations (1992) (1)
Synchronization of hidden chaotic attractors on the example of radiophysical oscillators (2017) (1)
Elegant computation of phase-detector characteristics of BPSK Costas loop with non-sinusoidal signals (2017) (1)
Optical Costas loop: pull-in range estimation and hidden oscillations (2017) (1)
Response of Costas PLL in the Presence of In-band Interference (2015) (1)
Direct Torque Control of Synchronous Machines with Different Connections in Feed System (2013) (1)
The general linear theory of dynamic vibration absorbers (2017) (1)
Vladimir Andreevich Yakubovich (on his seventieth birthday) (1987) (1)
FROM PASCAL’S TRIANGLE TO A MATHEMATICAL FRONTIER: UNCOVERING HIDDEN PATTERNS IN THE OSCILLATIONS OF GENERALIZED GOLDEN RATIOS (2013) (1)
Hidden attractors in aircraft control systems with saturated inputs (2017) (1)
Controllability, observability, stabilization (2001) (1)
Lyapunov techniques in analysis and control of chaotic systems (1997) (1)
ANALYSIS AND SYNTHESIS OF CLOCK GENERATOR (2009) (1)
The Bakaev-Guzh Technique (1992) (1)
Dynamics and control of the Stewart platform (2014) (1)
Stability of electromechanical models of drilling systems under discontinuous loads (2012) (0)
Pyragas Stabilizability of Unstable Equilibria by Nonstationary Time-Delayed Feedback (2018) (0)
Attractor Localization of Dynamical “SolarWind-Magnetosphere-Ionosphere” Model (2011) (0)
Absolute Stability of Control Systems Described by Integral Volterra Equations (1996) (0)
A prediction conjecture for multiparameter markets (2008) (0)
Cycles in Systems with Cylindrical Phase Space (1996) (0)
The Method of Non-Local Reduction (1992) (0)
New types of Lyapunov functions for investigation of asymptotics of pendulum-like systems (1998) (0)
LYAPUNOV FUNCTIONS IN HAUSDORFF DIMENSION ESTIMATES OF COCYCLE ATTRACTORS (2011) (0)
Necessary Conditions of Gradient-Like Behavior for the Systems Described by Integro-Differential Equations (1996) (0)
Estimating the Oscillation Period of Nonlinear Discrete Systems (2005) (0)
Stability and oscillations of phase-controlled systems (1999) (0)
Aleksei Fedorovich Andreev. A tribute in honor of his eighty-fifth birthday (2009) (0)
Multidimensional Analogues of the van der Pol Equation (1996) (0)
Stability of mathematical models for systems of synchronous and asynchronous machines (1996) (0)
Frequency-Domain Estimates of Hausdorff Dimension of Attractors (1996) (0)
0 Nonlinear Analysis and Design of Phase-Locked Loops (2018) (0)
Hidden Periodic and Chaotic Oscillations in Nonlinear Dynamical Systems (2014) (0)
A frequency criterion for the stability of discrete systems for controlling a generator oscillation phase (1979) (0)
Fishing principle for homoclinic and heteroclinic trajectories (2014) (0)
Systems with Multiple Equilibria (1992) (0)
Analysis and synthesis of phase locked loops circuits (2009) (0)
Frequency-domain criterion for the absolute stability of nonlinear systems (2014) (0)
UAV control with switched GNSS-Estimator navigation system∗ (2015) (0)
Electromechanical and Mathematical Models of Salient-Pole Synchronous Motors (2012) (0)
Joint work of two identical synchronous generators with common RL-load (1997) (0)
On Flutter Suppression in the Keldysh Model (2018) (0)
Analysis and synthesis of controlled delay lines for fast digital devices (2009) (0)
Vladimir Gilelevich Maz’ya (On the occasion of his 70th anniversary) (2008) (0)
Existence of nontrivial periodic solutions in autooscillatory systems (1977) (0)
Viktor Aleksandrovich Pliss (A tribute in honor of his seventy-fifth birthday) (2007) (0)
Appendix. Proofs of the Theorems of Chapter 2 (2004) (0)
Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations (2016) (0)
Valentin Vladimirovich Petrov (on the Occasion of His 80th Birthday) (2011) (0)
Delayed feedback stabilization and the Huijberts–Michiels–Nijmeijer problem (2016) (0)
Oscillations in Systems Satisfying Generalized Routh-Hurwitz Conditions. Aizerman Conjecture (1996) (0)
Anatolii Vladimirovich Yakovlev (on the occasion of his 70th birthday) (2010) (0)
STRANGE ATTRACTORS OF DISCRETE SYSTEMS : A FREQUENCY CRITERION FOR THEIR EXISTENCE (1999) (0)
Computation of Lyapunov quantities and limit cycles (2010) (0)
Longtime Dynamics in Adaptive Gain Control Systems (2002) (0)
Control of clocks distributed systems (2005) (0)
Homoclinic Orbits in Pendulum-Like Systems (1996) (0)
Hidden attractors in the Rabinovich system: localization and Lyapunov dimension (2015) (0)
Stability of Equilibria Sets of Pendulum-Like Systems (2004) (0)
ELECTROMECHANICAL AND MATHEMATICAL MODELS OF SYNCHRONOUS ELECTRICAL MACHINES (2009) (0)
REDUCTION METHOD FOR INTEGRODIFFERENT IAL EQUATIONS (1981) (0)
Lyapunov Functions in the Global Analysis of Chaotic Systems (2018) (0)
Hidden attractors in the Rabinovich system: localization by the continuation and perpetual points (2015) (0)
CONTROL THEORY Aircraft Control with Anti-Windup Compensation (2013) (0)
Nonlinear dynamics and quantum dynamical systems : contributions to the International Seminar ISAM 90 held in Gaussig (GDR), March 19-23, 1990 (1990) (0)
ANALYTICAL APPROACH FOR ATTRACTOR LOCALIZATION IN DYNAMICAL MODEL OF SOLAR WIND-MAGNETOSPHERE-IONOSPHERE (2012) (0)
To the anniversary of Sergei Vladimirovich Vostokov (2016) (0)
Stability domain analysis of an antiwindup control system for an unstable object (2012) (0)
Global instability of stationary nonlinear systems (1973) (0)
Hidden and self-excited attractors in Chua circuit: SPICE simulation and synchronization (2017) (0)
The study of the Sommerfeld effect of the passage of synchronous machine through resonance. (2011) (0)
Absolute Observation Stability for Evolutionary Variational Inequalities (2008) (0)
Stabilizing unstable periodic orbits of dynamical systems using delayed feedback control with periodic gain (2017) (0)
Plenary lecture 2: hidden oscillations in dynamical systems (2011) (0)
Frequency-domain criteria for global stability of dynamic systems with the Prandtl and play operators (2017) (0)
Analysis and synthesis of controlled delay lines (2009) (0)
Global Problems for Differential Inclusions. Kalman and Vyshnegradskii Problems and Chua Circuits (2017) (0)
A short survey on QPSK Costas loop mathematical models (2017) (0)
Linear electric circuits: Transfer functions and frequency responses of linear blocks (2001) (0)
Visualization of four limit cycles of two-dimensional quadratic systems in the parameter space (2013) (0)
Circular Solutions and Cycles (1992) (0)
Cycle Slipping in Phase-Controlled Systems (1992) (0)
Classical Two-Dimensional Oscillating Systems and their Multidimensional Analogues (1996) (0)
Dichotomy and Stability of Nonlinear Systems with Multiple Equilibria (2004) (0)
Differential Equations with Hysteresis Operators. Existence of Solutions, Stability, and Oscillations (2017) (0)
Frequency Estimates of the Hausdorff Dimension of Attractors and Orbital Stability of Cycles (1996) (0)
Nonlinear Analysis of Phase-Locked Loop with Squarer (2013) (0)
Estimation of attraction regions of equilibrium states of dynamic systems by the direct method of Liapunov (1985) (0)
Simulation of the classical analog phase-locked loop based circuits (2015) (0)
Auxiliary Algebraic Statements on Solutions of Matrix Inequalities of a Special Type (2004) (0)
Necessary and sufficient conditions of the existence of homoclinic trajectories and cascade of bifurcations in Lorenz-like systems: birth of strange attractor and 9 homoclinic bifurcations (2015) (0)
The Aizerman conjecture: The Popov method (2001) (0)
Pyragas stabilizability via feedback with periodic control gain (2015) (0)
A higher dimensional generalization of Bendixon's criterion (2002) (0)
Asymptote of solutions of a system of integrodifferential equations with nonlinear periodic functions (1978) (0)
On estimating the attraction regions of the equilibrium states of dynamic systems by the direct lyapunov method (1985) (0)
Control Systems Described with Ordinary Differential Equations (1996) (0)
Hidden Oscillations in the Mathematical Model of the Optical Binary Phase Shift Keying (BPSK) Costas Loop (2016) (0)
The Lyapunov dimension, convergency and entropy for a dynamical model of Chua memristor circuit (2018) (0)
Hidden Oscillations in Dynamical Systems. 16 Hilbert’s Problem, Aizerman’s and Kalman’s Conjectures, Hidden Attractors in Chua’s Circuits (2014) (0)
Two-dimensional control systems: Phase portraits (2001) (0)
Phase-frequency Domain Model of Costas Loop with Mixer Discriminator (2013) (0)
On the existence of limit cycles of the perturbed harmonic oscillator in the degenerate case (1996) (0)
On estimationes of generalized Hausdorff dimension (2019) (0)
Editorial (2007) (0)
Shadowing in hidden attractors (2018) (0)
Viktor Aleksandrovich Pliss (A tribute in honor of his seventieth birthday) (2007) (0)
Tricomi problem for heteroclinic and homoclinic trajectories (2014) (0)
iscontinuous differential equations : co p rison of solution defini ions and localization of hidden hua attractors (0)
The Watt governor and the mathematical theory of stability of motion (2001) (0)
The Barbashin-Ezeilo Problem (1996) (0)
Classical Theory of Absolute Stability (1996) (0)
Computational Experiments with the Roots of Fibonacci-like Polynomials as a Window to Mathematics Research (2022) (0)
Asymptoti Orbital Stability Conditions for Flowsby Estimates of Singular Values of the LinearizationGennady Alekseevi h Leonov (2007) (0)
Systems Described by Volterra Integro-Differential Equations (1996) (0)
Yakubovich Auto-Oscillation (1996) (0)
Motion of a solid driven by six rods of variable length (2014) (0)
Existence of Circular Solutions and Cycles for Systems Described with Ordinary Differential Equations (1996) (0)
Frequency Criteria for Stability and Properties of Solutions of Special Matrix Inequalities (1996) (0)
Synchronous Machines Equations (1992) (0)
Circular Criteria for Linear Systems (2001) (0)
Aircraft control with anti-windup compensation (2012) (0)

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