140 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Kotelnikov Institute of Radioengineering and Electronics of the Russian Academy of SciencesRU9 papers
- Saratov State UniversityRU8 papers
- Stockholm UniversitySE4 papers
- Institute for Complex SystemsIT3 papers
- Udmurt State UniversityRU3 papers
- National Research University Higher School of EconomicsRU2 papers
- St Petersburg UniversityRU2 papers
- University of PotsdamDE2 papers
- Aalto UniversityFI1 paper
- Aston UniversityGB1 paper
- Donders Centre for CognitionNL1 paper
- Embassy of Italy in Tel AvivIL1 paper
34 papers
Artificial neural network as a universal model of nonlinear dynamical systems
Pavel V. Kuptsov, Anna V. Kuptsova, Nataliya V. Stankevich
We suggest a universal map capable to recover a behavior of a wide range of dynamical systems given by ODEs. The map is built as an artificial neural network whose weights encode a…
Quantum Computing without Quantum Computers: Database Search and Data Processing Using Classical Wave Superposition
Michael Balynskiy, Howard Chiang, David Gutierrez +3
Quantum computing is an emerging field of science which will eventually lead us to new and powerful logic devices with capabilities far beyond the limits of current transistor-base…
Dynamics of Non-Autonomous Oscillator with a Controlled Phase and Frequency of External Forcing
Darina Krylosova, Evgeny Seleznev, Nataliya Stankevich
The dynamics of a non-autonomous oscillator in which the phase and frequency of the external force depend on the dynamical variable is studied. Such a control of the phase and freq…
Route to hyperbolic hyperchaos in a nonautonomous time-delay system
Pavel V. Kuptsov, Sergey P. Kuznetsov
We consider a self-oscillator whose excitation parameter is varied. Frequency of the variation is much smaller then the natural frequency of the oscillator so that oscillations in…
Estimating of the inertial manifold dimension for a chaotic attractor of complex Ginzburg-Landau equation using a neural network
Pavel V. Kuptsov, Anna V. Kuptsova
Dimension of an inertial manifold for a chaotic attractor of spatially distributed system is estimated using autoencoder neural network. The inertial manifold is a low dimensional…
Multiplex networks of musical artists: the effect of heterogeneous inter-layer links
Johann H. Martínez, Stefano Boccaletti, Vladimir V. Makarov +1
The way the topological structure goes from a decoupled state into a coupled one in multiplex networks has been widely studied by means of analytical and numerical studies, involvi…
Lyapunov analysis of strange pseudohyperbolic attractors: angles between tangent subspaces, local volume expansion and contraction
Pavel V. Kuptsov, Sergey P. Kuznetsov
In this paper we analyze local structure of several chaotic attractors recently suggested in literature as pseudohyperbolic. The absence of tangencies and thus the presence of the…
Scenario of the Birth of Hidden Attractors in the Chua Circuit
N. V. Stankevich, N. V. Kuznetsov, G. A. Leonov +1
Recently it was shown that in the dynamical model of Chua circuit both the classical selfexcited and hidden chaotic attractors can be found. In this paper the dynamics of the Chua…
Numerical test for hyperbolicity in chaotic systems with multiple time delays
Pavel V. Kuptsov, Sergey P. Kuznetsov
We develop an extension of the fast method of angles for hyperbolicity verification in chaotic systems with an arbitrary number of time-delay feedback loops. The adopted method is…
Macroscopic and Microscopic Spectral Properties of Multilayer Brain Networks during Local and Global Synchronization
Vladimir A. Maksimenko, Annika Lüttjohann, Vladimir V. Makarov +6
We introduce a practical and computationally not demanding technique for inferring interactions at various microscopic levels between the units of a network from the measurements a…
Radial and circular synchronization clusters in extended starlike network of van der Pol oscillators
Pavel V. Kuptsov, Anna V. Kuptsova
We consider extended starlike networks where the hub node is coupled with several chains of nodes representing star rays. Assuming that nodes of the network are occupied by noniden…
Nonlinear dynamics and band transport in a superlattice driven by a plane wave
A. Apostolakis, M. K. Awodele, K. N. Alekseev +2
A quantum particle transport induced in a spatially-periodic potential by a propagating plane wave has a number important implications in a range of topical physical systems. Examp…
Equilibrium states and hidden attractors in Chua circuit
Nataliya Stankevich
The dynamics of the Chua circuit is studied. Analysis of equilibrium states was revealed. Parameter plane of the picewise linear voltage-current was obtained. For this system was s…
Numerical test for hyperbolicity of chaotic dynamics in time-delay systems
Pavel V. Kuptsov, Sergey P. Kuznetsov
We develop a numerical test of hyperbolicity of chaotic dynamics in time-delay systems. The test is based on the angle criterion and includes computation of angle distributions bet…
Cluster synchronization of starlike networks with normalized Laplacian coupling: master stability function approach
Pavel V. Kuptsov, Anna V. Kuptsova
A generalized model of starlike network is suggested that takes into account non-additive coupling and nonlinear transformation of coupling variables. For this model a method of an…
Variety of regimes of star-like networks of Henon maps
Pavel V. Kuptsov, Anna V. Kuptsova
In this paper we categorize dynamical regimes demonstrated by star-like networks with chaotic nodes. This analysis is done in view of further studying of chaotic scale-free network…
Optimisation of microstructured waveguides in z-cut LiNbO3 crystals
Huseyin Karakuzu, Mykhaylo Dubov, Sonia Boscolo +2
We present a practical approach to the numerical optimisation of the guiding properties of buried microstructured waveguides, which can be fabricated in a z-cut lithium niobate (Li…
Super-Planckian far-zone thermal emission from asymmetric hyperbolic metamaterials
Igor Nefedov, Leonid Melnikov
In this paper we demonstrate that asymmetric hyperbolic metamaterials (AHM) can produce strongly directive thermal emission in far-field zone, which exceeds Planck's limit. Asymmet…
Predictable nonwandering localization of covariant Lyapunov vectors and cluster synchronization in scale-free networks of chaotic maps
Pavel V. Kuptsov, Anna V. Kuptsova
Covariant Lyapunov vectors for scale-free networks of Henon maps are highly localized. We revealed two mechanisms of the localization related to full and phase cluster synchronizat…
Synchronization of two coupled multimode oscillators with time-delayed feedback
Yulia P. Emelianova, Valeriy V. Emelyanov, Nikita M. Ryskin
Effects of synchronization in a system of two coupled oscillators with time-delayed feedback are investigated. Phase space of a system with time delay is infinite-dimensional. Thus…
Structure of the eigenfrequencies parameter space for the system of dissipatively coupled oscillators
Yulia P. Emelianova, Alexander P. Kuznetsov, Ludmila V. Turukina +2
Structure of the eigenfrequencies parameter space for three and four dissipatively coupled van der Pol oscillators is discussed. Situations of different codimension relating to the…
Generalized synchronization in mutually coupled oscillators and complex networks
Olga Moskalenko, Alexey Koronovskii, Alexander Hramov +1
We introduce a novel concept of generalized synchronization, able to encompass the setting of collective synchronized behavior for mutually coupled systems and networking systems f…
Computation of the spectrum of spatial Lyapunov exponents for the spatially extended beam-plasma systems and electron-wave devices
Alexander E. Hramov, Alexey A. Koronovskii, Vladimir A. Maximenko +1
The spectrum of Lyapunov exponents is powerful tool for the analysis of the complex system dynamics. In the general framework of nonlinear dynamical systems a number of the numeric…
Effect of Self-Magnetic Fields on the Nonlinear Dynamics of Relativistic Electron Beam with Virtual Cathode
A. E. Hramov, S. A. Kurkin, A. A. Koronovskii +1
The report is devoted to the results of the numerical study of the virtual cathode formation conditions in the relativistic electron beam under the influence of the self-magnetic a…