14 citations · 54 across the 8 of their papers we have counts for
8 papers
Travelling waves in an ensemble of excitable oscillators: the interplay of memristive coupling and noise
Ivan A. Korneev, Ibadulla R. Ramazanov, Andrei V. Slepnev +2
Using methods of numerical simulation, we demonstrate the constructive role of memristive coupling in the context of the travelling wave formation and robustness in an ensemble of…
Feigenbaum scenario without parameters
Ivan A. Korneev, Ibadulla R. Ramazanov, Andrei V. Slepnev +2
Typically, the period-doubling bifurcations exhibited by nonlinear dissipative systems are observed when varying systems' parameters. In contrast, the period-doubling bifurcations…
Symbiosis of an artificial neural network and models of biological neurons: training and testing
Tatyana Bogatenko, Konstantin Sergeev, Andrei Slepnev +2
In this paper we show the possibility of creating and identifying the features of an artificial neural network (ANN) which consists of mathematical models of biological neurons. Th…
Simple method for detecting sleep episodes in rats ECoG using machine learning
Konstantin Sergeev, Anastasiya Runnova, Maxim Zhuravlev +5
In this paper we propose a new method for the automatic recognition of the state of behavioral sleep (BS) and waking state (WS) in freely moving rats using their electrocorticograp…
Generalized model for steady-state bifurcations without parameters in memristor-based oscillators with lines of equilibria
lvan A. Korneev, Andrei V. Slepnev, Anna S. Zakharova +2
We demonstrate how the pitchfork, transcritical and saddle-node bifurcations of steady states observed in dynamical systems with a finite number of isolated equilibrium points occu…
Subcritical Andronov-Hopf scenario for systems with a line of equilibria
Ivan A. Korneev, Andrei V. Slepnev, Tatiana E. Vadivasova +1
Using numerical simulation methods and analytical approach, we demonstrate hard self-oscillation excitation in systems with infinitely many equilibrium points forming a line of equ…
Non-invasive analysis of blood-brain barrier permeability based on wavelet and machine learning approaches
Nadezhda Semenova, Konstantin Segreev, Andrei Slepnev +6
The blood-brain barrier plays a decisive role in protecting the brain from toxins and pathogens. The ability to analyze the BBB opening (OBBB) is crucial for the treatment of many…
Forced synchronization of an oscillator with a line of equilibria
Ivan A. Korneev, Andrei V. Slepnev, Vladimir V. Semenov +1
The model of a non-autonomous memristor-based oscillator with a line of equilibria is studied. A numerical simulation of the system driven by a periodical force is combined with a…