10 citations · 19 across the 8 of their papers we have counts for
9 papers
Nonlocal-coupling-based control of coherence resonance
Aleksey Ryabov, Elena Rybalova, Andrei Bukh +2
We demonstrate that nonlocal coupling enables control of the collective stochastic dynamics in the regime of coherence resonance. The control scheme based on the nonlocal interacti…
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…
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…
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…
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…
Double-well chimeras in 2D lattice of chaotic bistable elements
Igor A. Shepelev, Andrey A. Bukh, Tatiana E. Vadivasova +2
We investigate spatio-temporal dynamics of a 2D ensemble of nonlocally coupled chaotic cubic maps in a bistability regime. In particular, we perform a detailed study on the transit…