35 citations · 170 across the 18 of their papers we have counts for
10 papers · 1 filter
Heteroclinic cycles and chaos in a system of four identical phase oscillators with global biharmonic coupling
Aleksei M. Arefev, Evgeny A. Grines, Grigory V. Osipov
We study a system of four identical globally coupled phase oscillators with biharmonic coupling function. Its dimension and the type of coupling make it the minimal system of Kuram…
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…
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…
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…
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…
Mixed mode synchronization and network bursting of neurons with post-inhibitory rebound
Roman Nagornov, Grigory Osipov, Maxim Komarov +2
This study is focused on the mechanisms of rhythmogenesis and robustness of anti-phase bursting in half-center-oscillators (HCOs) consisting of two reciprocally inhibitory coupled…
Coherence properties of cycling chaos
T. A. Levanova, G. V. Osipov, A. Pikovsky
Cycling chaos is a heteroclinic connection between several chaotic attractors, at which switching between the chaotic sets occur at growing time intervals. Here we characterize the…
Synchronized bursts following instability of synchronous spiking in chaotic neuronal networks
Mikhail V. Ivanchenko, Grigory V. Osipov, Vladimir D. Shalfeev +1
We report on the origin of synchronized bursting dynamics in various networks of neural spiking oscillators, when a certain threshold in coupling strength is exceeded. These ensemb…