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Physica D: Nonlinear Phenomena, ISSN 0167-2789, 09/2012, Volume 241, Issue 18, pp. 1482 - 1486
Journal Article
European Physical Journal: Special Topics, ISSN 1951-6355, 07/2015, Volume 224, Issue 8, pp. 1421 - 1458
In this paper, we discuss self-excited and hidden attractors for systems of differential equations. We considered the example of a Lorenz-like system derived... 
EXISTENCE | CHAOTIC FLOWS | AIZERMAN | LYAPUNOV FUNCTIONS | PHYSICS, MULTIDISCIPLINARY | DIMENSION | BIFURCATIONS | DYNAMICS | LIMIT-CYCLES | ALGORITHMS | OSCILLATIONS | Physics - Chaotic Dynamics
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 11/2016, Volume 26, Issue 12, p. 1630034
Using a systematic computer search, four simple chaotic flows with cubic nonlinearities were found that have the unusual feature of having a curve of... 
hidden attractor | curve equilibrium | Chaotic flows | HIDDEN OSCILLATIONS | ATTRACTORS | SYNCHRONIZATION | AIZERMAN | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MULTIDISCIPLINARY SCIENCES | CIRCUIT-DESIGN | ALGORITHMS | AUTONOMOUS SYSTEM
Journal Article
SIAM Journal on Control and Optimization, ISSN 0363-0129, 2016, Volume 54, Issue 3, pp. 1739 - 1768
Journal Article
The European Physical Journal Special Topics, ISSN 1951-6355, 7/2015, Volume 224, Issue 8, pp. 1469 - 1476
Hidden attractors represent a new interesting topic in the chaos literature. These attractors have a basin of attraction that does not intersect with small... 
Condensed Matter Physics | Measurement Science and Instrumentation | Materials Science, general | Atomic, Molecular, Optical and Plasma Physics | Physics, general | Physics | Classical Continuum Physics | AIZERMAN | ORDER | CHAOTIC SYSTEM | PHYSICS, MULTIDISCIPLINARY | ALGORITHMS | FLOWS | OSCILLATIONS | Biomedical engineering
Journal Article
Physics Letters A, ISSN 0375-9601, 02/2014, Volume 378, Issue 9, pp. 713 - 718
Understanding hidden attractors, whose basins of attraction do not contain the neighborhood of equilibrium of the system, are important in many physical... 
Hidden attractor | Amplitude death | Riddling | LINEARIZATION | AIZERMAN | CHAOTIC SYSTEM | PHYSICS, MULTIDISCIPLINARY | ALGORITHMS | OSCILLATIONS | TIME-DELAY | Attraction | Amplitudes | Basins | Solid state physics | Death | Nonlinearity | Joining | Mathematical models
Journal Article
Journal Article
Automatica, ISSN 0005-1098, 10/2015, Volume 60, pp. 140 - 144
The Kalman conjecture is known to be true for third-order continuous-time systems. We show that it is false in general for second-order discrete-time systems... 
Discrete-time systems | Lur’e system | Kalman conjecture | Absolute stability | Saturation | Lur'e system | LINEAR-SYSTEMS | AIZERMAN | SLOPE-RESTRICTED NONLINEARITIES | LURE SYSTEMS | ALGORITHMS | ENGINEERING, ELECTRICAL & ELECTRONIC | HIDDEN OSCILLATIONS | STABILITY ANALYSIS | ZAMES-FALB MULTIPLIERS | TSYPKIN CRITERION | AUTOMATION & CONTROL SYSTEMS
Journal Article
The European Physical Journal Special Topics, ISSN 1951-6355, 7/2015, Volume 224, Issue 8, pp. 1405 - 1408
This topical issue collects contributions exemplifying the recent scientific progress in understanding the dynamics of multistable systems. The individual... 
Condensed Matter Physics | Measurement Science and Instrumentation | Materials Science, general | Atomic, Molecular, Optical and Plasma Physics | Physics, general | Physics | Classical Continuum Physics | SYSTEM | BASINS | AIZERMAN | ALGORITHMS | DUFFING OSCILLATOR | PHYSICS, MULTIDISCIPLINARY
Journal Article
Journal Article
Automatica, ISSN 0005-1098, 11/2017, Volume 85, pp. 486 - 488
This note provides the connection between the paper “Absolute stability analysis for negative-imaginary systems” and classical results in absolute stability.... 
Negative imaginary systems | Stability criteria | Absolute stability | Popov criterion | Aizerman conjecture | COUNTEREXAMPLES | AUTOMATION & CONTROL SYSTEMS | CONJECTURE | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 11/2017, Volume 27, Issue 12, p. 1730038
Journal Article
The European Physical Journal Special Topics, ISSN 1951-6355, 7/2015, Volume 224, Issue 8, pp. 1637 - 1652
Journal Article
AUTOMATION AND REMOTE CONTROL, ISSN 0005-1179, 08/2019, Volume 80, Issue 8, pp. 1375 - 1389
We distinguish a subclass of switched linear systems that we call pairwise connected. We show that the dynamics of such systems can be described by Lur'e... 
INSTRUMENTS & INSTRUMENTATION | Lyapunov functions | INSTABILITY | switched systems | matrix inequalities | Lur'e systems | stability | AUTOMATION & CONTROL SYSTEMS | Aizerman problem
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 01/2014, Volume 24, Issue 1, pp. 1450010 - 1-1450011-13
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 01/2019, Volume 29, Issue 1, p. 1930001
The attraction basin of hidden attractors does not intersect with small neighborhoods of any equilibrium point. To the best of our knowledge this property has... 
Feature Article | Rabinovich-Fabrikant system | Hidden chaotic attractor | Data visualisation | AIZERMAN | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MULTIDISCIPLINARY SCIENCES | LIMIT-CYCLES | ALGORITHMS | OSCILLATIONS | BIFURCATION | MULTISTABILITY
Journal Article
Doklady Mathematics, ISSN 1064-5624, 7/2017, Volume 96, Issue 1, pp. 415 - 418
A discontinuous approximation method is described, which can be used to construct counterexamples to the Kalman conjecture. 
Mathematics, general | Mathematics | MATHEMATICS | COUNTEREXAMPLES | AIZERMAN | ALGORITHMS | OSCILLATIONS | Mechanical engineering | Methods
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 02/2015, Volume 25, Issue 2, pp. 1530005 - 1-1530005-10
A new class of critical points, termed as perpetual points, where acceleration becomes zero but the velocity remains nonzero, are observed in dynamical... 
Perpetual points | conservation | hidden attractors | stability and bifurcation | HIDDEN OSCILLATIONS | AIZERMAN | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MULTIDISCIPLINARY SCIENCES | TRANSIENT DYNAMICS | ALGORITHMS | Dynamics | Mathematical analysis | Dissipation | Bifurcations | Nonlinearity | Oscillating | Mathematical models | Dynamical systems
Journal Article
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