27 citations · 73 across the 7 of their papers we have counts for
7 papers
Heteroclinic networks in an ensemble of generalized Lotka-Volterra elements
Alexander Korotkov, Ekaterina Syundyukova, Elena Gubina +1
In this article the generalized Lotka-Volterra model of ensemble of four excitory or inhibitory coupled elements are studied. It is shown that in the phase space of the model there…
Switching activity in an ensemble of excitable neurons
A. G. Korotkov, S. Y. Zagrebin, G. V. Osipov
The paper proposes two dynamical systems based on the generalized Lotka-Volterra model of three excitable elements interacting through excitatory couplings. It is shown that for so…
Dynamics in a phase model of half-center oscillator: two neurons with excitatory coupling
A. G. Korotkov, T. A. Levanova, M. A. Zaks +1
A minimalistic model of the half-center oscillator is proposed. Within it, we consider dynamics of two excitable neurons interacting by means of the excitatory coupling. In the par…
Effects of memristor-based coupling in the ensemble of FitzHugh-Nagumo elements
Alexander G. Korotkov, Tatiana A. Levanova, Alexey O. Kazakov
In this paper, we study the impact of electrical and memristor-based couplings on some neuron-like spiking regimes, previously observed in the ensemble of two identical FitzHugh-Na…
The dynamics of ensemble of neuron-like elements with excitatory couplings
Alexander G. Korotkov, Alexey O. Kazakov, Tatiana A. Levanova +1
We study the phenomenological model of ensemble of two FitzHugh-Nagumo neuron-like elements with symmetric excitatory couplings. The main advantage of proposed model is the new app…
The impact of electrical couplings on the sequential bursting activity in the ensemble of inhibitory coupled Van der Pol elements
T. A. Levanova, A. O. Kazakov, A. G. Korotkov +1
The new phenomenological model of the ensemble of three neurons with chemical (synaptic) and electrical couplings has been studied. One neuron is modeled by a single Van der Pol os…