activity
20162025
most citedForced synchronization of an oscillator with a line of equilibria

10 citations · 19 across the 8 of their papers we have counts for

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6 papers · 1 filter

nlin.AO2025

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…

nlin.AO2024★ 1 cited

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…

nlin.AO2022

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…

nlin.AO2021★ 7 cited

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…

nlin.AO2019★ 10 cited

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…

nlin.AO2017

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…