151 citations · 638 across the 24 of their papers we have counts for
24 papers
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…
Identifying topology of leaky photonic lattices with machine learning
Ekaterina O. Smolina, Lev A. Smirnov, Daniel Leykam +2
We show how machine learning techniques can be applied for the classification of topological phases in leaky photonic lattices using limited measurement data. We propose an approac…
Dynamics of oscillator populations globally coupled with distributed phase shifts
Lev A. Smirnov, Arkady Pikovsky
We consider a population of globally coupled oscillators in which phase shifts in the coupling are random. We show that in the maximally disordered case, where the pairwise shifts…
Self-steepening-induced stabilization of nonlinear edge waves at photonic valley-Hall interfaces
Ekaterina O. Smolina, Lev A. Smirnov, Daniel Leykam +1
Localized nonlinear modes at valley-Hall interfaces in staggered photonic graphene can be described in the long-wavelength limit by a nonlinear Dirac-like model including spatial d…
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…
Synchronization transitions and sensitivity to asymmetry in the bimodal Kuramoto systems with Cauchy noise
V. A. Kostin, V. O. Munyaev, G. V. Osipov +1
We analyze the synchronization dynamics of the thermodynamically large systems of globally coupled phase oscillators under Cauchy noise forcings with bimodal distribution of freque…
Traveling chimeras in oscillator lattices with advective-diffusive coupling
L. Smirnov, A. Pikovsky
We consider a one-dimensional array of phase oscillators coupled via an auxiliary complex field. While in the seminal chimera studies by Kumamoto and Battogtokh only diffusion of t…
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…
Gradient catastrophe of nonlinear photonic valley-Hall edge pulses
Daria A. Smirnova, Lev A. Smirnov, Ekaterina O. Smolina +2
We derive nonlinear wave equations describing the propagation of slowly-varying wavepackets formed by topological valley-Hall edge states. We show that edge pulses break up even in…
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…
Generation of entangled states of light using discrete solitons in waveguide arrays
V. O. Martynov, V. O. Munyaev, L. A. Smirnov
We study the quantum properties of light propagating through an array of coupled nonlinear waveguides and forming a discrete soliton. We demonstrate that it is possible to use cert…
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…
Nontrivial coupling of light into a defect: the interplay of nonlinearity and topology
Shiqi Xia, Dario Jukić, Nan Wang +9
The flourishing of topological photonics in the last decade was achieved mainly due to developments in linear topological photonic structures. However, when nonlinearity is introdu…
Generation of gaussian entangled states of light in an array of nonlinear waveguides
V. O. Martynov, V. A. Mironov, L. A. Smirnov
We investigate the process of entangled state of light generation while propagation along a one dimensional array of single-mode nonlinear waveguides. We consider a situation when…
Topological edge states and gap solitons in the nonlinear Dirac model
Daria Smirnova, Lev Smirnov, Daniel Leykam +1
Topological photonics has emerged recently as a novel approach for realizing robust optical circuitry, and the study of nonlinear effects in topological photonics is expected to op…
Symmetry broken states in an ensemble of globally coupled pendulums
M. I. Bolotov, V. O. Munyaev, L. A. Smirnov +1
We consider the rotational dynamics in an ensemble of globally coupled identical pendulums. This model is essentially a generalization of the standard Kuramoto model, which takes i…
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…
Influence of classic noise on entangled state formation in parametric systems
V. O. Martynov, V. A. Mironov, L. A. Smirnov
A study of "high temperature" entangled states in a system of two parametrically coupled quantum oscillators placed into independent thermal baths is performed taking into account…
Chimera patterns in the Kuramoto-Battogtokh model
L. A. Smirnov, G. V. Osipov, A. Pikovsky
Kuramoto and Battogtokh [Nonlinear Phenom. Complex Syst. 5, 380 (2002)] discovered chimera states represented by stable coexisting synchrony and asynchrony domains in a lattice of…
Multipolar third-harmonic generation driven by optically-induced magnetic resonances
Daria A. Smirnova, Alexander B. Khanikaev, Lev A. Smirnov +1
We analyze third-harmonic generation from high-index dielectric nanoparticles and discuss the basic features and multipolar nature of the parametrically generated electromagnetic f…
Dissipative plasmon solitons in graphene nanodisk arrays
Daria A. Smirnova, Roman E. Noskov, Lev A. Smirnov +1
We study nonlinear modes in one-dimensional arrays of doped graphene nanodisks with Kerr-type nonlinear response in the presence of an external electric field. We present the theor…
Dynamics and stability of dark solitons in exciton-polariton condensates
Lev A. Smirnov, Daria A. Smirnova, Elena A. Ostrovskaya +1
We present a comprehensive analytical theory of localized nonlinear excitations - dark solitons, supported by an incoherently pumped, spatially homogeneous exciton-polariton conden…