| Publication | Date of Publication | Type |
|---|
| The Gardner Problem on the Lock-In Range of Second-Order Type 2 Phase-Locked Loops | 2024-02-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q6145139 | 2024-01-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q6145143 | 2024-01-30 | Paper |
| Hidden boundary of global stability in a counterexample to the Kapranov conjecture on the pull-in range | 2024-01-11 | Paper |
| The Lorenz system: hidden boundary of practical stability and the Lyapunov dimension | 2023-08-16 | Paper |
| Study of irregular dynamics in an economic model: attractor localization and Lyapunov exponents | 2022-08-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5071329 | 2022-04-21 | Paper |
| Dynamics of the Shapovalov mid-size firm model | 2022-04-14 | Paper |
| On counter-examples to Aizerman and Kalman conjectures | 2022-04-07 | Paper |
| New adaptive synchronization algorithm for a general class of complex hyperchaotic systems with unknown parameters and its application to secure communication | 2022-03-03 | Paper |
| Generating grid chaotic sea from system without equilibrium point | 2022-02-04 | Paper |
| On the generalized Gardner problem for phase-locked loops in electrical grids | 2021-11-11 | Paper |
| Hold-In, Pull-In, and Lock-In Ranges of PLL Circuits: Rigorous Mathematical Definitions and Limitations of Classical Theory | 2021-08-26 | Paper |
| Codimension one and two bifurcations in Cattaneo-Christov heat flux model | 2021-06-18 | Paper |
| Jacobi Stability Analysis and the Onset of Chaos in a Two-Degree-of-Freedom Mechanical System | 2021-05-31 | Paper |
| New adaptive synchronization algorithm for a general class of hyperchaotic complex-valued systems with unknown parameters and its application to secure communication | 2021-05-15 | Paper |
| Attractor as a convex combination of a set of attractors | 2021-03-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4965806 | 2021-03-10 | Paper |
| Theory of hidden oscillations and stability of control systems | 2021-02-23 | Paper |
| On asymmetric periodic solutions in relay feedback systems | 2021-02-04 | Paper |
| Existence of homoclinic orbits and heteroclinic cycle in a class of three-dimensional piecewise linear systems with three switching manifolds | 2021-01-11 | Paper |
| On Leonov's method for computing the linearization of transverse dynamics and analyzing Zhukovsky stability | 2020-11-23 | Paper |
| Hidden attractors and multistability in a modified Chua's circuit | 2020-11-17 | Paper |
| Analytical-numerical analysis of closed-form dynamic model of Sayano-Shushenskaya hydropower plant: stability, oscillations, and accident | 2020-11-17 | Paper |
| Hidden attractors in dynamical models of phase-locked loop circuits: limitations of simulation in MATLAB and SPICE | 2020-10-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3305759 | 2020-08-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5204816 | 2019-12-05 | Paper |
| Theory of Differential Inclusions and Its Application in Mechanics | 2019-05-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4633502 | 2019-05-03 | Paper |
| Parameter switching synchronization | 2019-04-29 | Paper |
| Multistability and Hidden Attractors in the Dynamics of Permanent Magnet Synchronous Motor | 2019-04-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3122060 | 2019-03-20 | Paper |
| Graphical Structure of Attraction Basins of Hidden Chaotic Attractors: The Rabinovich–Fabrikant System | 2019-02-28 | Paper |
| Fractional-order PWC systems without zero Lyapunov exponents | 2018-10-23 | Paper |
| Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system | 2018-08-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4568470 | 2018-06-21 | Paper |
| Global problems for differential inclusions. Kalman and Vyshnegradskii problems and Chua circuits | 2018-06-20 | Paper |
| Matlab Code for Lyapunov Exponents of Fractional-Order Systems | 2018-06-15 | Paper |
| Approximating hidden chaotic attractors via parameter switching | 2018-06-13 | Paper |
| Homoclinic Bifurcations of the Merging Strange Attractors in the Lorenz-like System | 2018-02-21 | Paper |
| A Tribute to J. C. Sprott | 2018-01-31 | Paper |
| Scenario of the Birth of Hidden Attractors in the Chua Circuit | 2018-01-30 | Paper |
| The Lyapunov dimension, convergency and entropy for a dynamical model of Chua memristor circuit | 2018-01-29 | Paper |
| Hidden chaotic sets in a Hopfield neural system | 2017-11-24 | Paper |
| Coincidence of the Gelig-Leonov-Yakubovich, Filippov, and Aizerman-Pyatnitskiy definitions | 2017-09-19 | Paper |
| Delayed feedback stabilization and the Huijberts-Michiels-Nijmeijer problem | 2017-06-15 | Paper |
| Solution of the Gardner problem on the lock-in range of phase-locked loop | 2017-05-14 | Paper |
| The Lyapunov dimension and its estimation via the Leonov method | 2017-05-11 | Paper |
| Optical Costas loop: pull-in range estimation and hidden oscillations | 2017-05-05 | Paper |
| Nonlinear analysis of PLL by the harmonic balance method | 2017-05-05 | Paper |
| A short survey on QPSK Costas loop mathematical models | 2017-05-05 | Paper |
| Hidden attractors in dynamical systems | 2017-04-12 | Paper |
| Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations | 2016-11-16 | Paper |
| Computation of the phase detector characteristic of a QPSK Costas loop | 2016-11-01 | Paper |
| Dynamics of the Zeraoulia–Sprott Map Revisited | 2016-09-05 | Paper |
| On differences and similarities in the analysis of Lorenz, Chen, and Lu systems | 2016-06-22 | Paper |
| Looking More Closely at the Rabinovich–Fabrikant System | 2016-04-18 | Paper |
| Lock-in range of classical PLL with impulse signals and proportionally-integrating filter | 2016-03-30 | Paper |
| Lock-in range of PLL-based circuits with proportionally-integrating filter and sinusoidal phase detector characteristic | 2016-03-28 | Paper |
| Mathematical models of the Costas loop | 2016-01-29 | Paper |
| Hidden and self-excited attractors in electromechanical systems with and without equilibria | 2016-01-26 | Paper |
| Computation of the phase detector characteristic of classical PLL | 2015-08-21 | Paper |
| Limitations of the classical phase-locked loop analysis | 2015-07-13 | Paper |
| A dynamical model of Sayano-Shushenskaya hydropower plant: stability, oscillations, and accident | 2015-07-11 | Paper |
| Nonlinear Analysis of Phase-locked Loop-Based Circuits | 2015-07-03 | Paper |
| Drilling Systems: Stability and Hidden Oscillations | 2015-07-03 | Paper |
| Controlling Dynamics of Hidden Attractors | 2015-06-24 | Paper |
| A short survey on nonlinear models of the classic Costas loop: rigorous derivation and limitations of the classic analysis | 2015-05-16 | Paper |
| Analytical-Numerical Localization of Hidden Attractor in Electrical Chua’s Circuit | 2015-04-08 | Paper |
| Hidden oscillations in dynamical systems. 16 Hilbert's problem, Aizerman's and Kalman's conjectures, hidden attractors in Chua's circuits | 2015-02-27 | Paper |
| Prediction of Hidden Oscillations Existence in Nonlinear Dynamical Systems: Analytics and Simulation | 2013-09-26 | Paper |
| HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS | 2013-08-22 | Paper |
| Algorithms for finding hidden oscillations in nonlinear systems. The Aizerman and Kalman conjectures and Chua's circuits | 2013-07-16 | Paper |
| Analytical-Numerical Methods for Hidden Attractors’ Localization: The 16th Hilbert Problem, Aizerman and Kalman Conjectures, and Chua Circuits | 2013-07-09 | Paper |
| Visualization of four normal size limit cycles in two-dimensional polynomial quadratic system | 2013-02-06 | Paper |
| Differential equations of Costas loop | 2013-01-14 | Paper |
| Hidden attractor in smooth Chua systems | 2012-12-28 | Paper |
| On problems of Aizerman and Kalman | 2012-11-21 | Paper |
| Cycles of two-dimensional systems: computer calculations, proofs, and experiments | 2012-11-21 | Paper |
| Localization of hidden attractors of the generalized Chua system based on the method of harmonic balance | 2012-11-21 | Paper |
| Stability domain analysis of an antiwindup control system for an unstable object | 2012-11-15 | Paper |
| Localization of hidden Chua's attractors | 2012-07-09 | Paper |
| Localization of the attractor of the differential equations for the solar wind-magnetosphere-ionosphere model | 2012-02-22 | Paper |
| Algorithms for searching for hidden oscillations in the Aizerman and Kalman problems | 2012-01-17 | Paper |
| Computation of phase detector characteristics in synchronization systems | 2012-01-17 | Paper |
| A direct method for calculating Lyapunov quantities of two-dimensional dynamical systems | 2011-11-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3000978 | 2011-05-31 | Paper |
| Limit cycles of quadratic systems with a perturbed weak focus of order 3 and a saddle equilibrium at infinity | 2011-03-17 | Paper |
| Algorithm for constructing counterexamples to the Kalman problem | 2010-11-01 | Paper |
| Algorithm for localizing Chua attractors based on the harmonic linearization method | 2010-11-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5748135 | 2010-09-14 | Paper |
| TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS | 2008-05-16 | Paper |
| Criterion of stability to first approximation of nonlinear discrete systems | 2007-02-05 | Paper |
| Criteria of stability by the first approximation for discrete nonlinear systems | 2007-02-05 | Paper |
| Stability by the first approximation for discrete systems. | 2005-06-23 | Paper |
