activity
20062021
most citedDynamics in a phase model of half-center oscillator: two neurons with excitatory coupling

1 citations · 1 across the 2 of their papers we have counts for

collaborators

11 papers

nlin.PS2021

Disorder fosters chimera in an array of motile particles

L. A. Smirnov, M. I. Bolotov, G. V. Osipov +1

We consider an array of non-locally coupled oscillators on a ring, which for equally spaced units possesses a Kuramoto-Battogtokh chimera regime and a synchronous state. We demonst…

nlin.CD2020

Appearance of chaos and hyperchaos in evolving pendulum network

V. O. Munyaev, D. S. Khorkin, M. I. Bolotov +2

The study of deterministic chaos continues to be one of the important problems in the field of nonlinear dynamics. Interest in the study of chaos exists both in low-dimensional dyn…

nlin.CD2020

Synchronization structures in the chain of rotating pendulums

V. O. Munyaev, D. S. Khorkin, M. I. Bolotov +2

The collective behavior of the ensembles of coupled nonlinear oscillator is one of the most interesting and important problems in modern nonlinear dynamics. In this paper, we study…

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.CD2018

Describing dynamics of driven multistable oscillators with phase transfer curves

Evgeny Grines, Grigory Osipov, Arkady Pikovsky

Phase response curve is an important tool in studies of stable self-sustained oscillations; it describes a phase shift under action of an external perturbation. We consider multist…

nlin.CD2018

Variety of rotation modes in a small chain of coupled pendulums

M. I. Bolotov, V. O. Munyaev, A. K. Kryukov +2

This article studies the rotational dynamics of three identical coupled pendulums. There exist two parameter areas where the in-phase rotational motion is unstable and out-of-phase…