27 citations · 104 across the 8 of their papers we have counts for
8 papers
Chaos in Coupled Heteroclinic Cycles between Weak Chimeras
Artyom E. Emelin, Evgeny A. Grines, Tatiana A. Levanova
Heteroclinic cycles are widely used in neuroscience in order to mathematically describe different mechanisms of functioning of the brain and nervous system. Heteroclinic cycles and…
Rhythmogenesis in the mean field model of the neuron-glial network
Nikita Barabash, Tatiana Levanova, Sergey Stasenko
Despite the fact that the phenomenon of bursting activity is important for functioning of living neural networks, the mechanisms of its origin are still not clear. In this paper, w…
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…