V. V. Klinshov, V. I. Nekorkin, “Synchronization of delay-coupled oscillator networks”, UFN, 183:12 (2013), 1323–1336; Phys. Usp., 56:12 (2013), 1217

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Uspekhi Fizicheskikh Nauk, 2013, Volume 183, Number 12, Pages 1323–1336
DOI: https://doi.org/10.3367/UFNr.0183.201312c.1323 (Mi ufn4626)

This article is cited in 50 scientific papers (total in 50 papers)

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Synchronization of delay-coupled oscillator networks

V. V. Klinshov^a, V. I. Nekorkin^ab

^a Institute of Applied Physics, Russian Academy of Sciences, Nizhnii Novgorod
^b Lobachevsky State University of Nizhny Novgorod

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DOI: https://doi.org/10.3367/UFNr.0183.201312c.1323

Abstract: Research on the synchronization of delay-coupled oscillator networks is reviewed. A number of key research approaches using different models and methods are described, and major results obtained through their use are presented and generalized. The most characteristic properties of time-delay coupled systems are discussed.

Keywords: oscillations, synchronization, time delay.

Received: February 5, 2013
Revised: April 18, 2013
Accepted: May 7, 2013

English version:
Physics–Uspekhi, 2013, Volume 56, Issue 12, Pages 1217–1229
DOI: https://doi.org/10.3367/UFNe.0183.201312c.1323

Bibliographic databases:

Document Type: Article

PACS: 05.45.-a, 05.45.Xt, 87.10.-e

Language: Russian

Citation: V. V. Klinshov, V. I. Nekorkin, “Synchronization of delay-coupled oscillator networks”, UFN, 183:12 (2013), 1323–1336; Phys. Usp., 56:12 (2013), 1217–1229

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Linking options:

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This publication is cited in the following 50 articles:

Alexandra A. Kashchenko, Sergey A. Kashchenko, “Local and Nonlocal Cycles in a System with Delayed Feedback Having Compact Support”, Regul. Chaotic Dyn., 30:1 (2025), 103–119
Sergey A. Kashchenko, “Asymptotics of Self-Oscillations in Chains of Systems of Nonlinear Equations”, Regul. Chaotic Dyn., 29:1 (2024), 218–240
S. A. Kaschenko, “Chains with Diffusion-Type Couplings Containing a Large Delay”, Math. Notes, 115:3 (2024), 323–335
Sergey Kashchenko, “Chains with Connections of Diffusion and Advective Types”, Mathematics, 12:6 (2024), 790
S. A. Kashchenko, “Logistic Equation with Long Delay Feedback”, Diff Equat, 60:2 (2024), 145
Anton V. Chizhov, Vasilii S. Tiselko, Tatyana Yu. Postnikova, Aleksey V. Zaitsev, “Phase-Dependent Response to Electrical Stimulation of Cortical Networks during Recurrent Epileptiform Short Discharge Generation In Vitro”, IJMS, 25:15 (2024), 8287
S. A. Kashchenko, “Logistic equation with long delay feedback”, Differencialʹnye uravneniâ, 60:2 (2024)
S.A. Kashchenko, “Dynamics of chains of a large number of fully coupled oscillators, as well as oscillators with one-way and two-way delay couplings”, Partial Differential Equations in Applied Mathematics, 11 (2024), 100877
S. A. Kaschenko, A. O. Tolbei, “Kvazinormalnye formy dlya sistem dvukh uravnenii s bolshim zapazdyvaniem”, Izvestiya vuzov. PND, 32:6 (2024), 782–795
Vladimir Semenov, Springer Series in Synergetics, Electronic Modelling of Deterministic and Stochastic Oscillators, 2024, 91
G. R. Ivanitskii, “Uncertainties in comparing a human and an android robot”, Phys. Usp., 66:8 (2023), 818–845
S. A. Kaschenko, “Dinamika polnosvyaznykh tsepochek iz bolshogo kolichestva ostsillyatorov s bolshim zapazdyvaniem v svyazyakh”, Izvestiya vuzov. PND, 31:4 (2023), 523–542
Daniel Maia, Jürgen Kurths, Serhiy Yanchuk, “Stabilization of synchronous equilibria in regular dynamical networks with delayed coupling”, Nonlinear Dyn, 111:8 (2023), 7377
S. A. Kaschenko, “Dynamics of chains of many oscillators with unidirectional and bidirectional delay coupling”, Comput. Math. Math. Phys., 63:10 (2023), 1817–1836
S. A. Kaschenko, A. O. Tolbey, “Dynamics of a system of two equations with a large delay”, Dokl. Math., 108:2 (2023), 369–373
Minsheng Song, Lin Meng, Shengen Li, Zhaohui Wu, Liangjie Bi, Yu Qin, Haixia Liu, Liangping Chen, Bin Wang, Yong Yin, Hailong Li, “High-efficiency phase-locking experiment of modular Ka-band coaxial magnetrons”, AIP Advances, 13:9 (2023)
Vladimir V. Semenov, Andrei V. Bukh, Nadezhda Semenova, “Delay-induced self-oscillation excitation in the Fitzhugh–Nagumo model: Regular and chaotic dynamics”, Chaos, Solitons & Fractals, 172 (2023), 113524
V. K. Vanag, “Networks of spike oscillators and their application for creating autonomous intelligent devices”, Phys. Usp., 65:5 (2022), 440–452
O. V. Maslennikov, M. M. Pugavko, D. S. Shchapin, V. I. Nekorkin, “Nonlinear dynamics and machine learning of recurrent spiking neural networks”, Phys. Usp., 65:10 (2022), 1020–1038
Elena V. Grigorieva, Sergey A. Kaschenko, “Quasi-Normal Form for a Ring Model of Pump-Coupled Lasers”, Nonlinear Phenomena in Complex Systems, 2022, 58

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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