27 citations · 90 across the 16 of their papers we have counts for
17 papers
Birth and breakdown of breathing and rotobreathing cyclops states in Kuramoto networks with higher-mode coupling
M. M. Khamkov, M. I. Bolotov, L. A. Smirnov +1
Cluster synchronization states often serve as organizing centers for collective dynamics, but their destabilization can open unexpected routes to both coherent and incoherent behav…
From Delay to Inertia and Triadic Interactions: A Predictive Model for Time-Delayed Oscillator Networks
L. A. Smirnov, V. O. Munyayev, M. I. Bolotov +1
Time-delayed oscillator networks underlie diverse biological and physical systems, yet standard first-order phase reductions fail to capture their high-dimensional collective dynam…
Atypical Chimera States in an Ensemble of Partially Mobile Particles
Pavel A. Shcherbakov, Lev A. Smirnov, Vasily A. Kostin +2
We study the influence of nonuniform motion of oscillators in a ring chain with nonlocal coupling on their collective dynamics and reveal the mechanism behind the emergence of an a…
Kink-Driven Chimera Motion with Quantized Velocity in a Chain of Interacting Particles
M. I. Bolotov, L. A. Smirnov, V. A. Kostin +1
We investigate chimera synchronization of internal oscillator states in a ring of interacting particles, using the damped dc-driven Frenkel--Kontorova chain model as an example. In…
Heterogeneity Induces Cyclops States in Kuramoto Networks with Higher-Mode Coupling
Maxim I. Bolotov, Lev A. Smirnov, Vyacheslav O. Munyayev +2
Disorder is often seen as detrimental to collective dynamics, yet recent work has shown that heterogeneity can enhance network synchronization. However, its constructive role in st…
Chimera states in a system of stationary and flying-through deterministic particles with an internal degree of freedom
Maxim I. Bolotov, Lev A. Smirnov, Vyacheslav O. Munyaev +1
We consider the effect of the emergence of chimera states in a system of coexisting stationary and flying-through in potential particles with an internal degree of freedom determin…
Synchronization by external periodic force in ensembles of globally coupled phase oscillators
Semyon S. Abramov, Maxim I. Bolotov, Lev A. Smirnov
We consider the effect of an external periodic force on chimera state in the phase oscillator model proposed by Abrams et al. [Phys. Rev. Lett, v. 101, 00319007 (2008)]. Using the…
Breathing and switching cyclops states in Kuramoto networks with higher-mode coupling
Maxim I. Bolotov, Vyacheslav O. Munyayev, Lev A. Smirnov +2
Cyclops states are intriguing cluster patterns observed in oscillator networks, including neuronal ensembles. The concept of cyclops states formed by two distinct, coherent cluster…
Two-cluster regular states, chimeras and hyperchaos in a system of globally coupled phase oscillators with inertia
Vyacheslav O. Munyayev, Maxim I. Bolotov, Lev A. Smirnov +1
In this work, two-cluster modes are studied in a system of globally coupled Kuramoto-Sakaguchi phase oscillators with inertia. It is shown that these regimes can be of two types: w…
Cyclops states in repulsive Kuramoto networks: the role of higher-order coupling
V. O. Munyayev, M. I. Bolotov, L. A. Smirnov +2
Repulsive oscillator networks can exhibit multiple cooperative rhythms, including chimera and cluster splay states. Yet, understanding which rhythm prevails remains challenging. He…
Stability of rotatory solitary states in Kuramoto networks with inertia
V. O. Munyaev, M. I. Bolotov, L. A. Smirnov +2
Solitary states emerge in oscillator networks when one oscillator separates from the fully synchronized cluster and becomes incoherent with the rest of the network. Such chimera-ty…
Finite-density-induced motility and turbulence of chimera solitons
L. A. Smirnov, M. I. Bolotov, D. I. Bolotov +2
We consider a one-dimensional oscillatory medium with a coupling through a diffusive linear field. In the limit of fast diffusion this setup reduces to the classical Kuramoto-Batto…
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…
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…
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…
Marginal chimera state at cross-frequency locking of pulse-coupled neural networks
M. I. Bolotov, G. V. Osipov, A. Pikovsky
We consider two coupled populations of leaky integrate-and-fire neurons. Depending on the coupling strength, mean fields generated by these populations can have incommensurate freq…