26 citations · 46 across the 7 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…
Lévy noise-induced coherence resonance: numerical study versus experiment
Ivan Korneev, Anna Zakharova, Vladimir V. Semenov
Using the FitzHugh-Nagumo system in the excitable regime, we investigate the influence of the L{é}vy noise properties on the effect of coherence resonance. In particular, we demons…
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…
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…
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…
Synchronization of periodic self-oscillators interacting via memristor-based coupling
Ivan A. Korneev, Vladimir V. Semenov, Tatiana E. Vadivasova
A model of two self-sustained oscillators interacting through memristive coupling is studied. Memristive coupling is realized by using a cubic memristor model. Numerical simulation…
Andronov-Hopf bifurcation with and without parameter in a cubic memristor oscillator with a line of equilibria
Ivan A. Korneev, Vladimir V. Semenov
The model of a memristor-based oscillator with cubic nonlinearity is studied. The considered system has infinitely many equilibrium points, which build a line of equilibria in the…
Hard and soft excitation of oscillations in memristor-based oscillators with a line of equilibria
Ivan A. Korneev, Tatiana E. Vadivasova, Vladimir V. Semenov
A model of memristor-based Chuas oscillator is studied. The considered system has infinitely many equilibrium points, which build a line of equilibria. Bifurcational mechanisms of…