35 citations · 170 across the 18 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
Heteroclinic and homoclinic structures in the system of four identical globally coupled phase oscillators with nonpairwise interactions of phases
Evgeny A. Grines, Grigory V. Osipov
Systems of identical globally coupled phase oscillators can demonstrate a multitude of complex behaviours. Such systems can have chaotic dynamics for when a coupling func…
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…