# Nikolay V. Kuznetsov

Researcher ORCID ID = 0000-0002-6474-9657

## Nikolay V. Kuznetsov's AcademicInfluence.com Rankings

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Computer Science

## Nikolay V. Kuznetsov's Degrees

- Masters Computer Science Stanford University
- Bachelors Computer Science University of California, Berkeley

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## Why Is Nikolay V. Kuznetsov Influential?

(Suggest an Edit or Addition)According to Wikipedia, Nikolay Vladimirovich Kuznetsov is a specialist in nonlinear dynamics and control theory. Academic career He graduated from the St. Petersburg University, Department of Theoretical Cybernetics chaired by V.A. Yakubovich, in 2001. In 2004 he received Candidate of Science degree and in 2016 Doctor of Science degree from St. Petersburg University. From 2003 Nikolay Kuznetsov has been working in St. Petersburg University and now he is Full professor and Head of the Department of Applied Cybernetics there. Since 2018 the research group chaired by Kuznetsov has been awarded the status of the Leading Scientific School of Russia in the field of mathematics and mechanics. In 2020 he was named Professor of the Year in the field of mathematics and physics in Russia.

## Nikolay V. Kuznetsov's Published Works

### 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)
- 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)
- Algorithms for finding hidden oscillations in nonlinear systems. The Aizerman and Kalman conjectures and Chua’s circuits (2011) (221)
- 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)
- Linear Water Waves: A Mathematical Approach (2002) (143)
- Hidden attractors in dynamical models of phase-locked loop circuits: Limitations of simulation in MATLAB and SPICE (2017) (139)
- 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)
- Controlling Dynamics of Hidden Attractors (2015) (121)
- A novel memristive time–delay chaotic system without equilibrium points (2016) (114)
- Numerical justification of Leonov conjecture on Lyapunov dimension of Rossler attractor (2014) (111)
- Hold-In, Pull-In, and Lock-In Ranges of PLL Circuits: Rigorous Mathematical Definitions and Limitations of Classical Theory (2015) (111)
- Hidden chaotic sets in a Hopfield neural system (2017) (108)
- Matlab Code for Lyapunov Exponents of Fractional-Order Systems (2018) (101)
- Hidden attractors in dynamical systems: systems with no equilibria, multistability and coexisting attractors (2014) (98)
- Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations (2014) (95)
- The Lyapunov dimension and its estimation via the Leonov method (2016) (88)
- Hidden oscillations in nonlinear control systems (2011) (86)
- Hidden attractors in fundamental problems and engineering models. A short survey (2015) (84)
- Unusual dynamics and hidden attractors of the Rabinovich–Fabrikant system (2015) (82)
- Analytical Method for Computation of Phase-Detector Characteristic (2012) (82)
- On stability by the first approximation for discrete systems (2005) (81)
- The legacy of Vladimir Andreevich Steklov (2014) (77)
- Algorithm for constructing counterexamples to the Kalman problem (2010) (74)
- 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)
- Hidden attractors and multistability in a modified Chua's circuit (2021) (69)
- Algorithm for localizing Chua attractors based on the harmonic linearization method (2010) (66)
- 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)
- Nonlinear mathematical models of phase-locked loops : stability and oscillations (2014) (56)
- Analytical-Numerical Localization of Hidden Attractor in Electrical Chua’s Circuit (2013) (56)
- A Mathematical Approach (2002) (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)
- The Lorenz system: hidden boundary of practical stability and the Lyapunov dimension (2020) (49)
- Coexistence of single- and multi-scroll chaotic orbits in a single-link flexible joint robot manipulator with stable spiral and index-4 spiral repellor types of equilibria (2017) (49)
- Tutorial on dynamic analysis of the Costas loop (2015) (47)
- Theory of Hidden Oscillations and Stability of Control Systems (2020) (45)
- Hidden Attractor in Chua's Circuits (2011) (44)
- Investigations of the space environment aboard the Universitetsky-Tat’yana and Universitetsky-Tat’yana-2 microsatellites (2011) (41)
- Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system (2018) (40)
- Analytical-Numerical Methods for Hidden Attractors’ Localization: The 16th Hilbert Problem, Aizerman and Kalman Conjectures, and Chua Circuits (2013) (38)
- Attractor Dimension Estimates for Dynamical Systems: Theory and Computation - Dedicated to Gennady Leonov (2021) (38)
- Homoclinic orbit and hidden attractor in the Lorenz-like system describing the fluid convection motion in the rotating cavity (2014) (37)
- Uniqueness and trapped modes for surface-piercing cylinders in oblique waves (1998) (36)
- Dispersion Equation for Water Waves with Vorticity and Stokes Waves on Flows with Counter-Currents (2012) (36)
- Limitations of PLL simulation: Hidden oscillations in MatLab and SPICE (2015) (35)
- Looking More Closely at the Rabinovich-Fabrikant System (2015) (35)
- Aircraft control with anti-windup compensation (2012) (35)
- Limitations of the classical phase-locked loop analysis (2015) (34)
- Rigorous mathematical definitions of the hold-in and pull-in ranges for phase-locked loops (2015) (33)
- Simulation of Analog Costas Loop Circuits (2014) (32)
- Hidden attractor in the Rabinovich system, Chua circuits and PLL (2016) (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)
- Hidden and self-excited attractors in Chua circuit: synchronization and SPICE simulation (2018) (31)
- Multistability and Hidden Attractors in the Dynamics of Permanent Magnet Synchronous Motor (2019) (31)
- Visualization of Four Normal Size Limit Cycles in Two-Dimensional Polynomial Quadratic System (2013) (31)
- Hidden Oscillations in Dynamical Systems. 16 Hilbert’s Problem, Aizerman’s and Kalman’s Conjectures, Hidden Attractors in Chua’s Circuits (2014) (30)
- Trapped modes of internal waves in a channel spanned by a submerged cylinder (1993) (30)
- Hidden oscillations in SPICE simulation of two-phase Costas loop with non-linear VCO (2016) (30)
- Feasibility study of astronaut standardized career dose limits in LEO and the outlook for BLEO (2014) (29)
- Prediction of Hidden Oscillations Existence in Nonlinear Dynamical Systems: Analytics and Simulation (2013) (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)
- The ice‐fishing problem: the fundamental sloshing frequency versus geometry of holes (2004) (27)
- Drilling systems failures and hidden oscillations (2012) (26)
- Cycles of two-dimensional systems: Computer calculations, proofs, and experiments (2008) (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)
- On problems of Aizerman and Kalman (2010) (23)
- On the problem of time-harmonic water waves in the presence of a freely floating structure (2011) (23)
- Steady Free-Surface Vortical Flows Parallel to the Horizontal Bottom (2011) (23)
- ‘High spots’ theorems for sloshing problems (2009) (22)
- Wave interaction with two-dimensional bodies floating in a two-layer fluid: uniqueness and trapped modes (2003) (22)
- On the coupled time-harmonic motion of deep water and a freely floating body: trapped modes and uniqueness theorems (2012) (22)
- Analytic Exact Upper Bound for the Lyapunov Dimension of the Shimizu-Morioka System (2015) (21)
- Graphical Structure of Attraction Basins of Hidden Chaotic Attractors: The Rabinovich-Fabrikant System (2018) (21)
- The wave resistance of a two-dimensional body moving forward in a two-layer fluid (1997) (21)
- Fractional-order PWC systems without zero Lyapunov exponents (2018) (20)
- Localization of a hidden attractor in the Rabinovich system (2015) (19)
- Aircraft wing rock oscillations suppression by simple adaptive control (2020) (19)
- Hidden attractors localization in Chua circuit via the describing function method (2017) (18)
- On the coupled time-harmonic motion of water and a body freely floating in it (2011) (18)
- A direct method for calculating Lyapunov quantities of two-dimensional dynamical systems (2011) (18)
- Computation of the first Lyapunov quantity for the second-order dynamical system (2007) (18)
- Recommendations to mitigate against human health risks incurred due to energetic particle irradiation beyond low earth orbit/BLEO (2015) (18)
- Approximating hidden chaotic attractors via parameter switching. (2018) (18)
- Lyapunov Quantities and Limit Cycles of Two-dimensional Dynamical Systems (2010) (18)
- Stability and oscillation of dynamical systems : theory and applications (2008) (17)
- Hidden Periodic Oscillations in Drilling System Driven by Induction Motor (2014) (17)
- Mean Value Properties of Solutions to the Helmholtz and Modified Helmholtz Equations (2021) (17)
- ON UNIQUENESS AND TRAPPED MODES IN THE WATER-WAVE PROBLEM FOR A SURFACE-PIERCING AXISYMMETRIC BODY (1997) (17)
- Localization of hidden attractors in smooth Chua's systems (2011) (17)
- Analytical methods for computation of phase-detector characteristics and PLL design (2011) (16)
- Lyapunov quantities, limit cycles and strange behavior of trajectories in two-dimensional quadratic systems (2008) (16)
- Linear Water Waves: Preface (2002) (16)
- Hidden Oscillations in Electromechanical Systems (2017) (16)
- Convergence based anti-windup design method and its application to flight control (2012) (16)
- On bounds and non-existence in the problem of steady waves with vorticity (2014) (16)
- On the Benjamin–Lighthill conjecture for water waves with vorticity (2015) (16)
- Numerical analysis of dynamical systems: unstable periodic orbits, hidden transient chaotic sets, hidden attractors, and finite-time Lyapunov dimension (2018) (15)
- On the two-dimensional sloshing problem (2011) (15)
- Counterexample of Perron in the Discrete Case (2001) (15)
- On the ‘high spots’ of fundamental sloshing modes in a trough (2011) (14)
- The Benjamin–Lighthill Conjecture for Near-Critical Values of Bernoulli’s Constant (2010) (14)
- The Benjamin–Lighthill Conjecture for Steady Water Waves (revisited) (2011) (14)
- Phase Locked Loops Design and Analysis (2008) (14)
- Simulation of nonlinear models of QPSK costas loop in MatLab Simulink (2014) (14)
- Methods for suppressing nonlinear oscillations in astatic auto-piloted aircraft control systems (2017) (13)
- Hidden Oscillations in Drilling Systems: Torsional Vibrations (2013) (13)
- Dynamics and control of the Stewart platform (2014) (13)
- COMPUTATION OF LYAPUNOV QUANTITIES (2008) (13)
- Strange attractors and classical stability theory: Stability, instability, lyapunov exponents and chaos (2016) (13)
- Steady water waves with vorticity: an analysis of the dispersion equation (2014) (12)
- On the two-dimensional sloshing problem (2004) (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)
- Bounds for steady water waves with vorticity (2012) (12)
- Metaharmonic functions: Mean flux theorem, its converse and related properties (2020) (12)
- A Tribute to J. C. Sprott (2017) (12)
- Generating grid chaotic sea from system without equilibrium point (2021) (12)
- Characterization of balls via solutions of the modified Helmholtz equation (2021) (12)
- Assessment of the radiation environment on the Moon (2011) (12)
- BPSK Costas loop: Simulation of nonlinear models in MatLab Simulink (2014) (12)
- Discontinuous differential equations: comparison of solution definitions and localization of hidden Chua attractors (2015) (11)
- Fundamental bounds for steady water waves (2009) (11)
- Nonlinear analysis of the Costas loop and phase-locked loop with squarer (2009) (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)
- Hidden Strange Nonchaotic Attractors (2021) (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)
- On uniqueness and solvability in the linearized two-dimensional problem of a supercritical stream about a surface-piercing body (1995) (11)
- Analysis and Design of Computer Architecture Circuits with Controllable Delay Line (2018) (11)
- Global Problems for Differential Inclusions. Kalman and Vyshnegradskii Problems and Chua Circuits (2017) (11)
- Chaos control in the fractional order logistic map via impulses (2019) (11)
- Occurrence frequency of single event upsets induced on geosynchronous orbit: Model calculations and TDRS-1 experience (1996) (10)
- High-frequency Analysis of Phase-locked Loop and Phase Detector Characteristic Computation (2011) (10)
- Nonlinear models of BPSK Costas loop (2014) (10)
- Phase-Detector Characteristic of Classical PLL for General Case of Linear Filter (2014) (10)
- Bounds for Arbitrary Steady Gravity Waves on Water of Finite Depth (2009) (10)
- Solitary waves on constant vorticity flows with an interior stagnation point (2019) (10)
- Rich dynamics and anticontrol of extinction in a prey–predator system (2019) (9)
- Parameter Switching Synchronization (2016) (9)
- The Lyapunov dimension and its computation for self-excited and hidden attractors in the Glukhovsky-Dolzhansky fluid convection model (2015) (9)
- Hidden Oscillations in Drilling System Actuated by Induction Motor (2013) (9)
- Estimation of Lyapunov dimension for the Chen and Lu systems (2015) (9)
- Delayed feedback stabilization of unstable equilibria (2014) (9)
- The Lyapunov dimension formula of self-excited and hidden attractors in the Glukhovsky-Dolzhansky system (2015) (9)
- Simple adaptive control for airfoil flutter suppression (2018) (9)
- On Flutter Suppression in the Keldysh Model (2018) (9)
- The birth of the global stability theory and the theory of hidden oscillations (2020) (9)
- Convergence-based Analysis of Robustness to Delay in Anti-windup Loop of Aircraft Autopilot (2015) (9)
- A short survey on Lyapunov dimension for finite dimensional dynamical systems in Euclidean space (2015) (9)
- An analysis of the SEU rate of microcircuits exposed by the various components of space radiation. (1999) (9)
- Nonlinear Phase Shift Compensator for Pilot-Induced Oscillations Prevention (2015) (8)
- Nonlinear mathematical models of Costas Loop for general waveform of input signal (2012) (8)
- Nonlinear Analysis of Phase-locked Loop-Based Circuits (2014) (8)
- Uniqueness in the water-wave problem for bodies intersecting the free surface at arbitrary angles (2004) (8)
- Elegant analytic computation of phase detector characteristic for non-sinusoidal signals (2015) (8)
- Computation of the lock-in ranges of phase-locked loops with PI filter (2016) (8)
- Hidden oscillations in drilling systems with salient pole synchronous motor (2015) (8)
- Creation of model of quasi-trapped proton fluxes below Earth’s radiation belt (2009) (8)
- Time-delay control for stabilization of the Shapovalov mid-size firm model (2020) (8)
- Coincidence of the Gelig–Leonov–Yakubovich, Filippov, and Aizerman–Pyatnitskiy definitions (2015) (8)
- ANALYSIS OF PHASE-LOCKED SYSTEMS WITH DISCONTINUOUS CHARACTERISTICS (2006) (8)
- Localization of hidden attractors of the generalized Chua system based on the method of harmonic balance (2010) (8)
- Freely floating structures trapping time-harmonic water waves (2014) (8)
- Asymptotic Analysis of Phase Control System for Clocks in Multiprocessor Arrays (2018) (8)
- Motion of a solid driven by six rods of variable length (2014) (8)
- On the resistanceless statement of the two-dimensional Neumann-Kelvin problem for a surface-piercing tandem (1999) (8)
- Computation of phase detector characteristics in synchronization systems (2011) (8)
- Steady water waves with vorticity: spatial Hamiltonian structure (2013) (8)
- Radiation-induced defects in implanted Hg1-xCdxTe crystals (1989) (8)
- Nonlinear Analysis of Phase-Locked Loop (PLL): Global Stability Analysis, Hidden Oscillations and Simulation Problems (2014) (8)
- Pilot-Induced Oscillations and Their Prevention (2019) (8)
- Pattern generation in diffusive networks: How do those brainless centipedes walk? (2011) (7)
- Homoclinic Bifurcations and Chaos in the Fishing Principle for the Lorenz-like Systems (2020) (7)
- Hidden and self-excited attractors in electromechanical systems with and without equilibria (2016) (7)
- Extreme Events in Geospace (2018) (7)
- Simulation of phase-locked loops in phase-frequency domain (2012) (7)
- On behaviour of free-surface profiles for bounded steady water waves (2008) (7)
- Estimates of radiation effect for a spacecraft on the Earth-Mars-Earth route. (2002) (7)
- Single event upsets of spacecraft microelectronics exposed to solar cosmic rays. (1996) (7)
- The Egan Problem on the Pull-in Range of Type 2 PLLs (2021) (7)
- On counter-examples to Aizerman and Kalman conjectures (2020) (7)
- On the Keldysh Problem of Flutter Suppression. (2018) (7)
- Lyapunov dimension formula of attractors in the Tigan and Yang systems (2015) (7)
- Analytical-numerical analysis of closed-form dynamic model of Sayano-Shushenskaya hydropower plant: stability, oscillations, and accident (2021) (7)
- Computation of the phase detector characteristic of a QPSK Costas loop (2016) (7)
- On the Gardner Problem for Phase-Locked Loops (2019) (7)
- Trapped proton fluxes measured on board LEO satellites in comparison with models (2010) (6)
- Inverse mean value property of solutions to the modified Helmholtz equation (2021) (6)
- Nonlinear Analysis of Charge-Pump Phase-Locked Loop: The Hold-In and Pull-In Ranges (2020) (6)
- Sloshing problem in a half-plane covered by a dock with two gaps: monotonicity and asymptotics of eigenvalues (2001) (6)
- Coupled Discrete Fractional-Order Logistic Maps (2021) (6)
- Harmonic balance analysis of pull-in range and oscillatory behavior of third-order type 2 analog PLLs (2020) (6)
- Best's conjecture on pull-in range of two-phase Costas loop (2014) (6)
- Algorithm for construction of counterexamples to Aizerman's and Kalman's conjecture (2010) (6)
- Limitations of PLL simulation: hidden oscillations in SPICE analysis (2015) (6)
- Mathematical modeling of vibrations in turbogenerator sets of Sayano-Shushenskaya Hydroelectric Power Station (2016) (6)
- Drilling Systems: Stability and Hidden Oscillations (2014) (6)
- Chimera states in a class of hidden oscillatory networks (2021) (6)
- Dynamics of the Zeraoulia-Sprott Map Revisited (2016) (6)
- Shadowing in hidden attractors (2018) (6)
- Simulation of PLL with impulse signals in MATLAB: Limitations, hidden oscillations, and pull-in range (2015) (6)
- Nonlinear Analysis of Costas Loop Circuit (2018) (5)
- On the forward motion of an interface-crossing body in a two-layer fluid: the role of asymptotics in the problem’s statement (2011) (5)
- Hidden nonlinear oscillations in aircraft stabilization system with restrictions at the actuator control (2018) (5)
- Two-dimensional water waves in the presence of a freely floating body: trapped modes and conditions for their absence (2015) (5)
- The Rate of Single Event Upsets in Electronic Circuits onboard Spacecraft (2005) (5)
- Power Supply System For Aircraft With Electric Traction (2020) (5)
- On asymmetric periodic solutions in relay feedback systems (2020) (5)
- Study of irregular dynamics in an economic model: attractor localization and Lyapunov exponents (2021) (5)
- Modeling, Simulation and Control of Pneumatically Actuated Stewart Platform with Input Quantization (2014) (5)
- V.A. Steklov and the Problem of Sharp (Exact) Constants in Inequalities of Mathematical Physics (2013) (5)
- Dynamics of the Shapovalov mid-size firm model (2020) (5)
- Hidden oscillations in an active flutter suppression system and flight of a manned aircraft (2019) (5)
- Existence of homoclinic orbits and heteroclinic cycle in a class of three-dimensional piecewise linear systems with three switching manifolds. (2020) (5)
- On lower-bound estimates of the Lyapunov dimension and topological entropy for the Rossler systems (2019) (5)
- Computation of lock-in range for classic PLL with lead-lag filter and impulse signals (2016) (5)
- Stability domain analysis of an antiwindup control system for an unstable object (2012) (5)
- Near-Earth Radiation Environment for Extreme Solar and Geomagnetic Conditions (2018) (5)
- Babenko’s Equation for Periodic Gravity Waves on Water of Finite Depth: Derivation and Numerical Solution (2018) (5)
- Trapping of waves by horizontal cylinders in a channel containing two-layer fluid (1995) (5)
- On the waveless statement of the two-dimensional Neumann—Kelvin problem for a surface-piercing body (1997) (5)
- Simple adaptive control of aircraft roll angle, suppressing the wing rock oscillations (2019) (5)
- Charge pump phase-locked loop with phase-frequency detector: closed form mathematical model (2019) (5)
- Models of solar energetic particle fluxes: The main requirements and the development prospects (2005) (5)
- Hidden Nonlinear Oscillations in Controlled Aircraft With Saturated Inputs (2018) (4)
- Measurement of average projective ranges of ions with energies of hundreds and thousands of keV in silicon using the resistance technique (1980) (4)
- Gravity Waves in Water of Finite Depth (1997) (4)
- Predictions of integrated circuit serviceability in space radiation fields (1999) (4)
- Pull-in range of the classical PLL with impulse signals (2015) (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)
- Stabilization of unstable control system via design of delayed feedback (2011) (4)
- Counterexamples to the Kalman Conjectures (2018) (4)
- Differential Equations of Controlled Pneumatic Actuators for 6-DOF Stewart Platform (2015) (4)
- Mathematical models of the Costas loop (2015) (4)
- No steady water waves of small amplitude are supported by a shear flow with a still free surface (2012) (4)
- The balance between fluxes of galactic cosmic rays and solar energetic particles, depending on solar activity (2001) (4)
- A Tale of Two Nekrasov’s Integral Equations (2020) (4)
- Nonlinear analysis of phase-locked loop (2010) (4)
- Finite-time and exact Lyapunov dimension of the Henon map (2017) (4)
- Hidden oscillations in mathematical model of drilling system actuated by induction motor with a wound rotor (2014) (3)
- Computation of the phase detector characteristic of classical PLL (2015) (3)
- The dependence of solar energetic particle fluxes in the Earth-Mars-Earth route on solar activity period. (2002) (3)
- Time varying feedback control on multi-stability in hidden attractor (2020) (3)
- Localization of hidden Chua attractors by the describing function method (2017) (3)
- Delayed feedback stabilization and the Huijberts–Michiels–Nijmeijer problem (2016) (3)
- Model-free prediction of multistability using echo state network. (2022) (3)
- Lock-in range of PLL-based circuits with proportionally-integrating filter and sinusoidal phase detector characteristic (2016) (3)
- The Legacy of Vladimir Andreevich Steklov in Mathematical Physics : Work and School (2013) (3)
- Coexistence of hidden attractors and multistability in counterexamples to the Kalman conjecture (2019) (3)
- Dynamics of a Stewart platform (2017) (3)
- Numerical Visualization of Attractors: Self-Exciting and Hidden Attractors (2016) (3)
- Non-linear analysis of a modified QPSK Costas loop (2019) (3)
- Simulation of nonlinear models of modified BPSK Costas loop for non sinusoidal waveforms in MatLab Simulink (2014) (3)
- On the Generalized Gardner Problem for Phase-Locked Loops in Electrical Grids (2021) (3)
- On direct and inverse spectral problems for sloshing of a two-layer fluid in an open container (2016) (3)
- Dimensional Aspects of Almost Periodic Dynamics (2020) (3)
- Nonlinear analysis of PLL by the harmonic balance method (2017) (3)
- A short survey on nonlinear models of QPSK Costas loop (2017) (3)
- Lyapunov Exponent Sign Reversal: Stability and Instability by the First Approximation (2014) (3)
- Switching Algorithm for Data Fusion of Small Low-Cost UAV Navigation System (2013) (3)
- Stability and Chaotic Attractors of Memristor-Based Circuit with a Line of Equilibria (2018) (3)
- The Effect of Annealing upon the Resistivity Distribution in Subsurface Layers of Silicon Irradiated with Hydrogen and Helium Ions (1980) (2)
- New adaptive synchronization algorithm for a general class of complex hyperchaotic systems with unknown parameters and its application to secure communication (2021) (2)
- Nonlinear Problems in Control of Manufacturing Systems (2013) (2)
- Equivalent dose during long-term interplanetary missions depending on solar activity level (2001) (2)
- Suppression of nonlinear wing-rock oscillations by adaptive control with the implicit reference model (2018) (2)
- Homoclinic Bifurcations of the Merging Strange Attractors in the Lorenz-like System (2018) (2)
- Global stability of phase-locked loops (2007) (2)
- Synchronization of Hidden Hyperchaotic Attractors in Fractional-Order Complex-Valued Systems with Application to Secure Communications (2021) (2)
- Solution of the Gardner problem on the lock-in range of phase-locked loop (2017) (2)
- Modeling and identification of the Tunisian social system in 2011-2014: bifurcation, revolution, and controlled stabilization (2015) (2)
- Harmonic Balance Method and Stability of Discontinuous Systems (2019) (2)
- Codimension one and two bifurcations in Cattaneo-Christov heat flux model (2020) (2)
- Detection and Prediction of Absorbed Radiation Doses from Solar Proton Fluxes onboard Orbital Stations (2004) (2)
- Coexistence of single- and multi-scroll chaotic orbits in a single-link flexible joint robot manipulator with stable spiral and index-4 spiral repellor types of equilibria (2017) (2)
- Stability and hidden oscillations analysis of the spacecraft attitude control system using reaction wheels (2022) (2)
- Chaos and Its Degradation-Promoting-Based Control in an Antithetic Integral Feedback Circuit (2022) (2)
- Agent‐based time delay margin in consensus of multi‐agent systems by an event‐triggered control method: Concept and computation (2022) (2)
- Localization of the attractor of the differential equations for the solar wind-magnetosphere-ionosphere model (2010) (2)
- Bounds for solutions to the problem of steady water waves with vorticity (2016) (2)
- A comparison theorem for super- and subsolutions of $\mathbf {\nabla ^2 u + f (u) = 0}$ and its application to water waves with vorticity (2017) (2)
- Uniqueness in the problem of an obstacle in oblique waves (2003) (2)
- On characterization of balls via solutions to the Helmholtz equation (2022) (2)
- Characterizations of discs via weighted means (2022) (2)
- Asymptotic analysis of rapid forward accelerations of a free-surface pressure (2006) (2)
- Inverse Mean Value Property of Metaharmonic Functions (2022) (2)
- New High-Energy Cosmic-Ray Observatory (HERO) project for studying the high-energy primary cosmic-ray radiation (2009) (2)
- “Potato Kugel” for Nuclear Forces and a Small One for Acoustic Waves (2022) (2)
- Stability of charge-pump phase-locked loops: the hold-in and pull-in ranges (2020) (2)
- Modified Babenko’s Equation For Periodic Gravity Waves On Water Of Finite Depth (2018) (2)
- On relations between harmonic functions and solutions of the modified Helmholtz equation (2022) (2)
- The dependence of the resistance profile in silicon irradiated with hydrogen and helium ions on the ion energy and fluence (1980) (2)
- Chimera states and hidden attractors: Comment on "Chimera states in neuronal networks: A review" by S. Majhi, B.K. Bera, D. Ghosh, M. Perc. (2019) (2)
- On Leonov’s Method for Computing the Linearization of Transverse Dynamics and Analyzing Zhukovsky Stability (2019) (2)
- D 3 Dihedral Logistic Map of Fractional Order † (2022) (2)
- Hidden attractors in Chua circuit: mathematical theory meets physical experiments (2022) (2)
- The Problem of Steady Flow over a Two-Dimensional Bottom Obstacle (2010) (2)
- Lock-in range of classical PLL with impulse signals and proportionally-integrating filter (2016) (2)
- A Survey on Dynamic Analysis of the Costas Loop (2015) (2)
- Harmonic balance method, Tsypkin locus, and LPRS: comparison and counterexamples (2020) (2)
- Optimal control in the New Keynesian model with monetary and fiscal policy interactions (2021) (1)
- On the Motion of a Floating Body Supported by an Air Cushion (2003) (1)
- Empirical model of galactic cosmic ray particle fluxes based on the experimental data in solar cycles 21–24 (2017) (1)
- The two-dimensional problem of steady waves on water of finite depth: regimes without waves of small amplitude (2005) (1)
- Project “Universat-SOCRAT” of Multiple Small Satellites for Monitoring of Natural and Technogenic Space Hazards (2018) (1)
- Increased accuracy in the estimation of harp seal (Phoca groenlandica) abundance in whelping patches (1995) (1)
- Estimation of the LET threshold of single event upset of microelectronics in experiments with Cf-252 (1996) (1)
- NEW APPROACHES IN TECHNICAL OBJECT DYNAMIC PROPERTY EVALUATION UNDER SIMULTANEOUS ACTION OF SEVERAL HARMONIC DISTURBANCES (2018) (1)
- Elegant computation of phase-detector characteristics of BPSK Costas loop with non-sinusoidal signals (2017) (1)
- Semisubmerged Bodies, II (2002) (1)
- Analysis of the global stability boundaries in type 2 PLLs (2021) (1)
- Dynamics and control of the Stewart platform (2014) (1)
- Predicting GCR fluxes for future space missions (2017) (1)
- ON APPLICABILITY OF ADDITIONAL TIES OF INERTIAL TYPE IN THE PROBLEMS OF ENGINEERING SYSTEMS DYNAMICS (2016) (1)
- Response of Costas PLL in the Presence of In-band Interference (2015) (1)
- The Gardner Problem and Cycle Slipping Bifurcation for Type-2 Phase-Locked Loops (2021) (1)
- Comment on "Analysis of a Charge-Pump PLL: A New Model" by M. van Paemel (2018) (1)
- A lower-bound estimate of the Lyapunov dimension for the global attractor of the Lorenz system (2019) (1)
- The balance between SEP and GCR particle fluxes in interplanetary space, depending on solar activity level (2001) (1)
- On Relations between Harmonic and Panharmonic Functions (2022) (1)
- On Delusive Nodes of Free Oscillations (2015) (1)
- Asymptotic analysis of surface waves due to high-frequency disturbances (1997) (1)
- Analysis of oscillations in discontinuous Lurie systems via LPRS method (2019) (1)
- PERIOD DOUBLING BIFURCATION IN DISCRETE PHASE-LOCKED LOOPS (2009) (1)
- Attractor as a convex combination of a set of attractors (2021) (1)
- Lag Synchronization for Complex-Valued Rabinovich System with Application to Encryption Techniques (2020) (1)
- When no axisymmetric modes are trapped by a freely floating moonpool (2014) (1)
- Hidden attractors in aircraft control systems with saturated inputs (2017) (1)
- Optical Costas loop: pull-in range estimation and hidden oscillations (2017) (1)
- On the fundamental sloshing frequency in the ice-fishing problem (2002) (1)
- The nature and distribution of radiation-induced defects in silicon along the range of protons and alpha particles (1981) (1)
- Drillstring-hole calculation in drilling simulator (2015) (1)
- A New Approach to the Mathematical Modelling of Econometric Dynamics of Enterprises’ Demand for Labor (2019) (1)
- On the coupled time-harmonic motion of a freely floating body and water covered by brash ice (2016) (1)
- A dynamical model of Sayano-Shushenskaya hydropower plant: stability, oscillations, and accident (2015) (1)
- Spatial feedback control on multi-stability in hidden attractors (2020) (1)
- Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system (2018) (1)
- Sloshing in vertical cylinders with circular walls: The effect of radial baffles (2021) (1)
- REGISTRATION AND PROGNOSIS OF ABSORBED RADIATION DOSE FROM SOLAR PROTONS ON-BOARD ORBITAL STATIONS (2004) (1)
- Synchronization of hidden chaotic attractors on the example of radiophysical oscillators (2017) (1)
- A note on finite-time Lyapunov dimension of the Rossler attractor (2018) (1)
- Lyapunov Dimension for Dynamical Systems in Euclidean Spaces (2020) (1)
- Theory of Differential Inclusions and Its Application in Mechanics (2018) (1)
- Oscillations in pulse-width modulated system (2000) (1)
- Tunisia 2011–2014. Bifurcation, revolution, and controlled stabilization (2016) (1)
- Estimation of Lyapunov dimension via the Leonov method (2016) (1)
- Forecasting and control in overlapping generations model: chaos stabilization via artificial intelligence (2022) (1)
- Analysis and Synthesis of Digital SRF-PLL for Synchronization of Converter with the Grid (2021) (1)
- Jacobi Stability Analysis and the Onset of Chaos in a Two-Degree-of-Freedom Mechanical System (2021) (1)
- ANALYSIS AND SYNTHESIS OF CLOCK GENERATOR (2009) (1)
- Adaptive synapse-based neuron model with heterogeneous multistability and riddled basins. (2022) (1)
- Simulation of Remote Manipulator Control System with Saturated Actuator (2022) (0)
- Coincidence of the Gelig–Leonov–Yakubovich, Filippov, and Aizerman–Pyatnitskiy definitions (2015) (0)
- Computation of the phase detector characteristic of a QPSK Costas loop (2016) (0)
- Dimension and Entropy Estimates for Dynamical Systems (2020) (0)
- On Leonov’s method for computing the linearization of the transverse dynamics and analysis of Zhukovsky stability (2019) (0)
- PROBLEMS OF STUDENT INTERDISCIPLINARY PROJECTS IN ENGLISH (USING THE EXAMPLE OF THE PROJECT "CHARACTERISTICS OF WIRELESS METHODS OF ELECTRIC POWER TRANSMISSION") (2022) (0)
- Dimension and Entropy Estimates for Global Attractors of Cocycles (2020) (0)
- iscontinuous differential equations : co p rison of solution defini ions and localization of hidden hua attractors (0)
- Basic Concepts for Dimension Estimation on Manifolds (2020) (0)
- Phase-frequency Domain Model of Costas Loop with Mixer Discriminator (2013) (0)
- Hidden Oscillations in Dynamical Systems. 16 Hilbert’s Problem, Aizerman’s and Kalman’s Conjectures, Hidden Attractors in Chua’s Circuits (2014) (0)
- Visualization of Four Normal Size Limit Cycles in Two-Dimensional Polynomial Quadratic System (2012) (0)
- Space environment factors and radiation hazards onboard spacecraft (2002) (0)
- Fractional-order PWC systems without zero Lyapunov exponents (2018) (0)
- The Lyapunov dimension, convergency and entropy for a dynamical model of Chua memristor circuit (2018) (0)
- Influence of Space-Flight Factors on the Properties of Microorganisms, Producers of Biologically Active Substances (2001) (0)
- Hidden Oscillations in the Mathematical Model of the Optical Binary Phase Shift Keying (BPSK) Costas Loop (2016) (0)
- Coexisting Chaotic and Periodic Attractors in a Counterexample to the Kalman Conjecture (2022) (0)
- Experimental observation of hidden Chua’s attractor (2023) (0)
- The study of periodic oscillations and global stability in the Tal’ model via the Tsypkin method and the LPRS method (2021) (0)
- Comparison of the Models of Charged Particle Fluxes in Space (2015) (0)
- Attractors and Lyapunov Functions (2020) (0)
- Variation of the trapped proton flux in 23rd solar cycle (2010) (0)
- A novel memristive time–delay chaotic system without equilibrium points (2016) (0)
- A short survey on QPSK Costas loop mathematical models (2017) (0)
- Global Problems for Differential Inclusions. Kalman and Vyshnegradskii Problems and Chua Circuits (2017) (0)
- Transient hidden chaotic attractors in a Hopfield neural system (2016) (0)
- Control of multistability in hidden attractors (2015) (0)
- Operational control of radiation conditions in Space Monitoring Data Center of Moscow State University (2016) (0)
- Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system (2018) (0)
- Simulation of movements of heavy mining shovels (2015) (0)
- Dynamics of a Stewart platform (2017) (0)
- ANALYTICAL APPROACH FOR ATTRACTOR LOCALIZATION IN DYNAMICAL MODEL OF SOLAR WIND-MAGNETOSPHERE-IONOSPHERE (2012) (0)
- The pull-in range and a counterexample to the Egan conjecture for the fourth-order type 2 analog PLL (2021) (0)
- Unusual dynamics and hidden attractors of the Rabinovich–Fabrikant system (2016) (0)
- Effects of PLL Architecture on MEMS Gyroscope Performance (2022) (0)
- 0 Nonlinear Analysis and Design of Phase-Locked Loops (2018) (0)
- Hold-in, Pull-in and Lock-in Ranges for Phase-locked Loop with Tangential Characteristic of the Phase Detector (2019) (0)
- Realization theory methods for the construction of positively-invariant sets (2007) (0)
- Hidden Periodic and Chaotic Oscillations in Nonlinear Dynamical Systems (2014) (0)
- Dimension Estimates on Manifolds (2020) (0)
- On the Generalized Gardner Problem for Phase-Locked Loops in Electrical Grids (2021) (0)
- Pilot-Induced Oscillation Prevention During the Aircraft Landing (2021) (0)
- UAV control with switched GNSS-Estimator navigation system∗ (2015) (0)
- Effects of PLL Architecture on MEMS Gyroscope Performance (2022) (0)
- Introduction to Dimension Theory (2020) (0)
- VIBRATION MACHINE ACTUATOR AS A DYNAMIC ABSORBER OF OSCILLATIONS (2016) (0)
- Hidden strange nonchaotic dynamics in a non-autonomous model (2023) (0)
- Delayed feedback stabilization and the Huijberts–Michiels–Nijmeijer problem (2016) (0)
- Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations (2016) (0)
- Hidden attractors in the Rabinovich system: localization and Lyapunov dimension (2015) (0)
- On-Board Power Supply System for Electric Aircraft (2021) (0)
- CONTROL THEORY Aircraft Control with Anti-Windup Compensation (2013) (0)
- Hidden attractors in the Rabinovich system: localization by the continuation and perpetual points (2015) (0)
- Solar cycle variation of trapped proton fluxes measured by LEO satellites. (2008) (0)
- Stability domain analysis of an antiwindup control system for an unstable object (2012) (0)
- Hidden and self-excited attractors in Chua circuit: SPICE simulation and synchronization (2017) (0)
- Computation of the phase detector characteristic of classical PLL (2015) (0)
- Parameters of a conditioner for windrow mowers. (2000) (0)
- Lock-in range of BPSK Costas loop (2018) (0)
- [Effects of heavy charged particles on strains of microorganisms-producers of biologically active substances]. (2000) (0)
- Mathematical modeling of vibrations in turbogenerator sets of Sayano-Shushenskaya Hydroelectric Power Station (2016) (0)
- Alexeeva, Tatyana A. and Barnett, William A. and Kuznetsov, Nikolay V. and Mokaev, (2020) (0)
- Prediction of Absorbed Doses for Spacecraft Irradiated by Particle Fluxes of Solar Cosmic Rays (2003) (0)
- Nonlinear Analysis of Phase-Locked Loop with Squarer (2013) (0)
- Singular Values, Exterior Calculus and Logarithmic Norms (2020) (0)
- Differential equations of Costas loop (2012) (0)
- Simulation of the classical analog phase-locked loop based circuits (2015) (0)
- Mathematical models of the Costas loop (2015) (0)
- Survivability and morphologic anomalies in higher plants wolffia arrhiza following exposure to heavy ions of the galactic space radiation (2000) (0)
- Automatic Control Of Inverters In Electrical Networks: Capture Range And Cycle Slipping (2021) (0)
- Shadowing in hidden attractors (2018) (0)
- PLL and Costas loop based carrier recovery circuits for 4QAM: non-linear analysis and simulation (2018) (0)
- Computational Experiments with the Roots of Fibonacci-like Polynomials as a Window to Mathematics Research (2022) (0)
- Motion of a solid driven by six rods of variable length (2014) (0)
- Aircraft control with anti-windup compensation (2012) (0)
- Attractor Localization of Dynamical “SolarWind-Magnetosphere-Ionosphere” Model (2011) (0)
- Analytical and numerical study of the hidden boundary of practical stability: complex versus real Lorenz systems (2021) (0)
- Dimension Estimates for Dynamical Systems with Some Degree of Non-injectivity and Nonsmoothness (2020) (0)
- Submerged Obstacles: Existence and Properties of Velocity Potentials (2002) (0)
- Harmonicity of a function via harmonicity of its spherical means (2021) (0)
- Linear Water Waves: Two-Dimensional Problem for a Surface-Piercing Body (2002) (0)
- Uniqueness and stability results on steady water waves with vorticity (2016) (0)
- Babenko’s Equation for Periodic Gravity Waves on Water of Finite Depth: Derivation and Numerical Solution (2019) (0)
- 02 2 INVERSE MEAN VALUE PROPERTIES ( A SURVEY ) (2022) (0)
- Horizontally Periodic Trapped Waves (2002) (0)
- Surface and internal waves: The two-dimensional problem on forward motion of a body intersecting the interface between two fluids (2016) (0)
- Dispersion Equation for Water Waves with Vorticity and Stokes Waves on Flows with Counter-Currents (2014) (0)
- Synthesis of the parameters of the elastic-damping device in the excavator’s digging mechanism based on the use of the integral equation (2021) (0)
- Linear Water Waves: Waves Caused by Rapidly Stabilizing and High-Frequency Disturbances (2002) (0)
- The floating-body problem: an integro-differential equation without irregular frequencies (2018) (0)
- The Fourier Method in Russia Before and After V. A. Steklov (2014) (0)
- Linear Water Waves: Introduction: Basic Theory of Surface Waves (2002) (0)
- The three-dimensional problem of the coupled time-harmonic motion of a freely floating body and water covered by brash ice (2016) (0)
- Linear Water Waves: Submerged Obstacles (2002) (0)
- The Fourier Method in Russia Before and After V. A. Steklov (2014) (0)
- A Cliffed Cape Does Not Trap Water Waves in the Sea of Constant Depth (2018) (0)
- A Faber--Krahn inequality for indented and cut membranes (2016) (0)
- A Cliffed Cape Does Not Trap Water Waves in the Sea of Constant Depth (2018) (0)
- Possibilities of Using Frequency Energy Functions in Problems of Dynamics of Machines for Transport and Technological Purposes (2021) (0)
- Mean value properties of solutions to the modified Helmholtz equation and related topics (a survey) (2022) (0)
- 333 Pages That Changed The Theory of Water Waves. In memoriam of John V. Wehausen (2015) (0)
- Synchronization of two metronomes on platform with wheels (2011) (0)
- On two-dimensional water waves in a canal (2003) (0)
- D ec 2 01 8 Modified Babenko ’ s equation for periodic gravity waves on water of finite depth (2018) (0)
- Linear Water Waves: Green's Functions (2002) (0)
- Two-dimensional water waves in the presence of a freely floating body: conditions for the absence of trapped modes (2015) (0)
- On freely floating bodies trapping time-harmonic waves in water covered by brash ice (2015) (0)
- Eigenvalues of the Steklov Problem in an Infinite Cylinder (2003) (0)
- Rapid acceleration of a free-surface pressure system in forward motion (2006) (0)
- On the occasion of the 150th anniversary of V. A. Steklov’s birth (2014) (0)
- Green's Functions (2002) (0)
- On the Two-Dimensional Problem of a Surface-Piercing Body in Time-Dependent forward Motion: a variational Approach (1995) (0)
- Linear Water Waves: The Neumann–Kelvin Problem for a Submerged Body (2002) (0)
- Linear Water Waves: Semisubmerged Bodies, II (2002) (0)
- Two-dimensional sloshing: domains with interior `high spots' (2022) (0)
- On the absence of trapped water waves near a cliffed cape (2017) (0)
- IN THE PRESENCE OF TWO SEMIIMMERSED CYLINDERS (1989) (0)
- On a cylinder freely floating in oblique waves (2020) (0)
- Optimal control and genetic algorithms in modeling dynamical allocation of resources for a three-sector economy (2022) (0)
- Forecasting and stabilizing chaotic regimes in two macroeconomic models via artificial intelligence technologies and control methods (2023) (0)
- HUMAN RESOURCE MANAGEMENT: CONFLICT PREVENTION STRATEGY SIMULATION (2018) (0)
- Application of Nonlinear Correction Method for Attitude Control and Landing Oscillations Prevention (2022) (0)
- Identification of Human Operator Model Parameters in System with Saturated Actuator (2022) (0)
- Time varying feedback control on multi-stability in hidden attractor (2020) (0)
- Application of Optimization Method for Identifying Human Operator Model Parameters (2022) (0)
- Saddle-Node Bifurcation of Periodic Orbit Route to Hidden Attractors in Nonlinear Dynamical Systems (2023) (0)
- SUPPRESSION OF HIDDEN OSCILLATIONS DURING A PILOTED AIRCRAFT LANDING BY THE NONLINEAR CORRECTION METHOD (2022) (0)
- Approach to Identifying Areas of Uncontrolled Oscillations in Human-Machine Systems (2023) (0)
- Adaptive Suppression of Wing Flutter Under Actuator Saturation and Time Sampling (2022) (0)
- The Parallel Operation of the Output Three Phase Inverters in the MicroGrid (2022) (0)
- Methods for suppressing nonlinear oscillations in astatic auto-piloted aircraft control systems (2017) (0)
- Random Search Optimization Approach for Human-Robot Systems Modeling (2022) (0)
- Complex dynamics and optimal control of monetary policy in a New Keynesian model with government debt (2022) (0)
- The conservative lock-in range for PLL with lead-lag filter and triangular phase detector characteristic (2022) (0)
- Identification of Human Model Parameters for the Human-Machine Control Systems Design (2022) (0)
- HIDDEN OSCILLATIONS IN ADAPTIVE FLUTTER SUPPRESSION SYSTEM (2022) (0)
- Discrete-time Adaptive Control of Pneumatic Actuators for 6-DoF Stewart Platform (2022) (0)

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