activity
20182020
most citedDynamics in a phase model of half-center oscillator: two neurons with excitatory coupling

1 citations · 1 across the 1 of their papers we have counts for

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5 papers

math.DS20201 cited

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…

nlin.CD2019

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…

math.DS2018

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…

q-bio.NC2018

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…

nlin.CD2018

Spiral attractors as the root of a new type of "bursting activity" in the Rosenzweig-MacArthur model

Yu. V. Bakhanova, A. O. Kazakov, A. G. Korotkov +2

We study the peculiarities of spiral attractors in the Rosenzweig-MacArthur model, that describes dynamics in a food chain "prey-predator-superpredator". It is well-known that spir…