Kirillov S. Y., Klinshov V., Chaos 2025 Vol. 35 No. 9 Article 093117
The Kuramoto model, a paradigmatic framework for studying synchronization, exhibits a transition to collective oscillations only above a critical coupling strength in the thermodynamic limit. However, real-world systems are finite, and their dynamics can deviate significantly from mean-field predictions. Here, we investigate finite-size effects in the Kuramoto model below the critical coupling, where the theory ...
Added: December 22, 2025
Monakhova E., Monakhov O., Edward R. Rzaev et al., IEEE Access 2025 Vol. 13 P. 104716–104727
Based on the analysis of a large dataset for optimal undirected double-loop networks, we studied the problem of finding families of optimal double-loop graphs with the minimal possible diameter. Optimal double-loop networks are of practical interest as graph models for reliable, low-delay communication in computer systems and networks-on-chip, due to their advantageous networking properties. A ...
Added: June 30, 2025
Olesia Dogonasheva, Boris Gutkin, Denis Zakharov, European Physical Journal: Special Topics 2025 Vol. 234 P. 4453–4467
In this paper we consider a pyramidal-interneuron gamma (PING) network consisting of interacting subnetworks of pyramidal cells and interneurons. The main question we have addressed is the dependence of cluster formation processes on the chemical synapse weights and the ionic currents (AHP- and M-current) of the pyramidal neurons that underlie the frequency adaptation and the ...
Added: March 15, 2025
Kochergin D., Khaymovich I., Valba O. V. et al., SCIPOST PHYSICS 2024 Vol. 16 No. 4 Article 106
In this work we analytically explain the origin of the mobility edge in the partially disordered random regular graphs of degree d, i.e., with a fraction ββ of the sites being disordered, while the rest remain clean. It is shown that the mobility edge in the spectrum survives in a certain range of parameters (d,ββ) at infinitely ...
Added: November 15, 2024
Olesia Dogonasheva, Daniil Radushev, Boris Gutkin et al., Communications in Nonlinear Science and Numerical Simulation 2025 Vol. 140 Article 108321
Methods that distinguish dynamical regimes in networks of active elements make it possible to design the dynamics of models of realistic networks. A particularly salient example of such dynamics is partial synchronization, which may play a pivotal role in emergent behaviors of biological neural networks. Such emergent partial synchronization in structurally homogeneous networks is commonly ...
Added: August 31, 2024
Rukavishnikov A., Васильев С. А., Мукасеев Е. В. et al., Lecture Notes in Networks and Systems 2023 Vol. 934 P. 235–244
Added: May 15, 2024
Alexandrov A., Alexander G., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2023 Vol. 107 No. 4 P. 044211
Added: December 28, 2023
Zelenina A. I., Gordeev I. S., Kolotova L., Journal of Non-Crystalline Solids 2023 Vol. 606 Article 122215
Plasmonic nanoobjects have many applications from biosensors to electronic device components. The most promising method for obtaining such objects is the laser printing method due to the possibility of controlling the resulting structure by experimental conditions. In this work, the influence of laser printing initial parameters and Al content on silicon-aluminum nanoparticles (NPs) structure were investigated by a combination ...
Added: June 28, 2023
Fedorov I., Stegailov V., JETP Letters 2021 Vol. 113 No. 6 P. 396–401
The transition from the molecular state to the atomic state in warm dense hydrogen fluid has been actively studied in the past few decades. The use of various experimental techniques has not yet led to reliable results consistent with each other. Despite numerous attempts, theoretical methods have not yet explained existing discrepancies in the experimental ...
Added: May 22, 2023
Walls B., Murtagh O., Bozhko S. et al., Materials 2022 Vol. 15 No. 21 Article 7652
The strongly correlated electron material, vanadium dioxide (VO2), has seen considerable
attention and research application in metal-oxide electronics due to its metal-to-insulator transition
close to room temperature. Vacuum annealing a V2O5(010) single crystal results in Wadsley phases
(VnO2n+1, n > 1) and VO2. The resistance changes by a factor of 20 at 342 K, corresponding to the
metal-to-insulator phase ...
Added: December 11, 2022
O. Dogonasheva, Kasatkin D., Boris Gutkin et al., Chaos 2022 Vol. 32 No. 10 Article 101101
Over the past decades, one of the most exciting and fast developed area of modern synchronization theory is the study of chimera states. Such chimera states states are characterized by the coexistence of multiple synchronous and asynchronous domains, despite that the network topology does not at all predict such structures. Moreover, these states are of interest ...
Added: September 16, 2022
Пиковский А., The European Physical Journal B 2019 Vol. 92 P. 160
We consider collective dynamics in the ensemble of serially connected spin-torque oscillators governed by the Landau–Lifshitz–Gilbert–Slonczewski magnetization equation. Proximity to homoclinicity hampers synchronization of spin-torque oscillators: when the synchronous ensemble experiences the homoclinic bifurcation, the growth rate per oscillation of small deviations from the ensemble mean diverges. Depending on the configuration of the contour, sufficiently ...
Added: November 1, 2020
Bolotov M., Smirnov L., Osipov G. et al., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2020 Vol. 102 No. 4 Article 042218
We study how a chimera state in a one-dimensional medium of nonlocally coupled oscillators responds to a homogeneous in space periodic in time external force. On a macroscopic level, where a chimera can be considered as an oscillating object, forcing leads to entrainment of the chimera’s basic frequency inside an Arnold tongue. On a mesoscopic ...
Added: October 31, 2020
Munyaev V., Smirnov L., Kostin V. et al., New Journal of Physics 2020 Vol. 22 Article 023036
We study populations of globally coupled noisy rotators(oscillators with inertia) allowing a nonequilibrium transition from a desynchronized state to a synchronous one (with the nonvanishing order parameter). The newly developed analytical approaches resulted in solutions describing the synchronous state with constant order parameter for weakly inertial rotators, including the case of zero inertia, when the ...
Added: October 31, 2020
Gong C. C., Toenjes R., Pikovsky A., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2020 Vol. 102 No. 2 Article 022206
We propose Möbius maps as a tool to model synchronization phenomena in coupled phase oscillators. Not only does the map provide fast computation of phase synchronization, it also reflects the underlying group structure of the sinusoidally coupled continuous phase dynamics. We study map versions of various known continuous-time collective dynamics, such as the synchronization transition ...
Added: October 31, 2020
Kuznetsov A., Kuznetsov S., Shchegoleva N. et al., Physica D: Nonlinear Phenomena 2019 Vol. 398 P. 1–12
A problem of synchronization of quasiperiodic oscillations is discussed in application to an example of coupled systems with autonomous quasiperiodic dynamics. Charts of Lyapunov exponents are presented that reveal characteristic domains on the parameter plane such as oscillator death, complete synchronization, phase synchronization of quasiperiodic oscillations, broadband synchronization, broadband quasiperiodicity. Features of each kind of ...
Added: December 2, 2019
Vulfson A., Borodin O., Physics of Fluids 2018 Vol. 30 No. 9 Article 095103
The stochastic ensemble of convective thermals (vortices), forming the fine structure of a turbulent
convective atmospheric layer, is considered. The proposed ensemble model assumes all thermals in
the mixed-layer to have the same determinate buoyancies and considers them as solid spheres of
variable volumes. The values of radii and vertical velocities of the thermals are assumed random. The
motion ...
Added: October 30, 2018
Dmitrichev A., Zakharov D., Nekorkin V., Radiophysics and Quantum Electronics 2017 Vol. 60 No. 6 P. 506–512
We study stability of a synchronous regime in hub clusters of the power networks, which are simulated by ensembles of phase oscillators. An approach allowing one to estimate the regions in the parameter space, which correspond to the global asymptotic stability of this regime, is presented. The method is illustrated by an example of a ...
Added: October 4, 2018