26 citations · 26 across the 3 of their papers we have counts for
8 papers
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…
Dissipative solitons for bistable delayed-feedback systems
Vladimir V. Semenov, Yuri L. Maistrenko
We study how nonlinear delayed-feedback in the Ikeda model can induce solitary impulses, i.e. dissipative solitons. The states are clearly identified in a virtual space-time repres…
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…
Coherence resonance in an excitable potential well
Tatiana Bogatenko, Vladimir Semenov
The excitable behaviour is considered as motion of a particle in a potential field in the presence of dissipation. The dynamics of the oscillator proposed in the present paper corr…