?
Information geometry and synchronization phase transition in the Kuramoto model
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2023. Vol. 107. No. 4. P. 044211.
Alexandrov A., Alexander G.
Kelbert M., Kalimulina E. Y., Entropy 2026 Vol. 28 No. 5 Article 536
We study binary hypothesis testing for i.i.d. observations under a multiplicative context
weight. For the optimal weighted total loss, defined as the sum of weighted type-I and typeII losses, we prove the logarithmic asymptotic L∗n = exp{−nDwC (P,Q) + o(n)}, n →∞, where Dw
C is the weighted Chernoff information. The single-letter form of the exponent
relies on ...
Added: May 7, 2026
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
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
Alexandrov A., Chaos, Solitons and Fractals 2023 Vol. 167 P. 113056
Added: December 28, 2023
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
Savostyanov A., Shapoval S., Shnirman M. G., Physica D: Nonlinear Phenomena 2020 Vol. 401 Article 132160
Recent advances in the applications of the Kuramoto model to a wide range of real-life processes require the reconstruction of processes' parameters from observations. This paper explores the inverse problem for the Kuramoto model of two nonlinear oscillators with slowly varying coupling in the form of a single-step function, sine-wave, and auto-regressive process with a ...
Added: August 4, 2019
Kovaleva Margarita, Pilipchuk V., Manevitch L. I., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2016 Vol. 94 No. 032223 P. 032223-1–032223-10
The present work follows our previous study dealing with a new type of synchronization in a system of two
weakly coupled generalized van der Pol–Duffing autogenerators. The essence of the effect revealed is that the
synchronized oscillations are not stationary but accompanied by the most intensive energy exchange between
the oscillators. The phase shift between the generators remains ...
Added: February 28, 2019
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
Alamian G., Hincapie A. S., Pascarella A. et al., Clinical Neurophysiology 2017 P. 1719–1736
Added: October 18, 2017
R.A. Nesterov, I.A. Lomazova, Proceedings of the Institute for System Programming of the RAS 2017 Vol. 29 No. 4 P. 21–38
Process mining offers various tools for studying process-aware information systems. They mainly involve several participants (or agents) managing and executing operations on the basis of process models. To reveal the actual behavior of agents, we can use process discovery. However, for large-scale processes, it does not yield models, which help understand how agents interact since ...
Added: September 6, 2017
Manita A., Lobachevskii Journal of Mathematics 2017 Vol. 38 No. 5 P. 948–953
We introduce a class of stochastic networks in which synchronization between nodes is modelled by a message passing mechanism with heterogeneous Markovian routing. We present a series of results about probability distribution related to steady states of such models. ...
Added: June 20, 2017
Dzhagityan E. P., Банковское дело 2015 № 8 С. 26–31
The article deals with the perspectives and scenarios of regionalization and supranationalization of banking regulation in the
Eurasian Economic Union (EEU) based on the EU regulatory practice. We suggest a roadmap of regulatory regionalization amid
sweeping overhaul of banking regulation (Basel III). We also discuss the core milestones of the single regulatory environment in the
EEU as well ...
Added: January 1, 2017