14 citations · 54 across the 8 of their papers we have counts for
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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…
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…