Synchronization of delay-coupled oscillator networks

V.V. Klinshov^a, V.I. Nekorkin^a, b
^aFederal Research Center A.V. Gaponov-Grekhov Institute of Applied Physics of the Russian Academy of Sciences, ul. Ulyanova 46, Nizhny Novgorod, 603000, Russian Federation
^bN.I. Lobachevskii Nizhnii Novgorod State University, prosp. Gagarina 23, Nizhnii Novgorod, Russian Federation

Research on 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.

PACS: 05.45.−a, 05.45.Xt, 87.10.−e (all)
DOI: 10.3367/UFNe.0183.201312c.1323
URL: https://ufn.ru/en/articles/2013/12/c/
Web of Science

000332531200003
Scopus

2-s2.0-84897772184
ADS NASA

2013PhyU...56.1217K
Citation: Klinshov V V, Nekorkin V I "Synchronization of delay-coupled oscillator networks" Phys. Usp. 56 1217–1229 (2013)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 5th, February 2013, revised: 18th, April 2013, accepted: 7th, May 2013

Оригинал: Клиньшов В В, Некоркин В И «Синхронизация автоколебательных сетей с запаздывающими связями» УФН 183 1323–1336 (2013); DOI: 10.3367/UFNr.0183.201312c.1323

References (180) Cited by (40) Similar articles (20) ↓

O.V. Maslennikov, V.I. Nekorkin “Adaptive dynamical networks” 60 694–704 (2017)
A.A. Koronovskii, O.I. Moskalenko, A.E. Hramov “On the use of chaotic synchronization for secure communication” 52 1213–1238 (2009)
M.I. Rabinovich, M.K. Muezzinoglu “Nonlinear dynamics of the brain: emotion and cognition” 53 357–372 (2010)
A.E. Hramov, N.S. Frolov et al “Functional networks of the brain: from connectivity restoration to dynamic integration” 64 584–616 (2021)
M.A. Tsyganov, V.N. Biktashev et al “Waves in systems with cross-diffusion as a new class of nonlinear waves” 50 263–286 (2007)
A.N. Pavlov, A.E. Hramov et al “Wavelet analysis in neurodynamics” 55 845–875 (2012)
G.R. Ivanitskii “21st century: what is life from the perspective of physics?” 53 327–356 (2010)
G.I. Strelkova, V.S. Anishchenko “Spatio-temporal structures in ensembles of coupled chaotic systems” 63 145–161 (2020)
G.R. Ivanitskii, A.B. Medvinskii, M.A. Tsyganov “From the dynamics of population autowaves generated by living cells to neuroinformatics” 37 961–989 (1994)
G.R. Ivanitskii “The self-organizing dynamic stability of far-from-equilibrium biological systems” 60 705–730 (2017)
S.P. Kuznetsov “Dynamical chaos and uniformly hyperbolic attractors: from mathematics to physics” 54 119–144 (2011)
G.N. Borisyuk, R.M. Borisyuk et al “Models of neural dynamics in brain information processing — the developments of ’the decade’” 45 1073–1095 (2002)
G.R. Ivanitskii, A.B. Medvinskii, M.A. Tsyganov “From disorder to order as applied to the movement of micro-organisms” 34 (4) 289–316 (1991)
D.S. Chernavskii “The origin of life and thinking from the viewpoint of modern physics” 43 151–176 (2000)
Yu.M. Romanovsky, A.N. Tikhonov “Molecular energy transducers of the living cell. Proton ATP synthase: a rotating molecular motor” 53 893–914 (2010)
A.L. Fradkov “Application of cybernetic methods in physics” 48 103–127 (2005)
G.R. Ivanitskii, A.A. Deev, E.P. Khizhnyak “Long-term dynamic structural memory in water: can it exist?” 57 37–65 (2014)
A.N. Pisarchik, A.E. Hramov “Stochastic processes in the brain's neural network and their impact on perception and decision-making” 66 1224–1247 (2023)
V.S. Anishchenko, S.V. Astakhov “Poincaré recurrence theory and its applications to nonlinear physics” 56 955–972 (2013)
O.V. Maslennikov, M.M. Pugavko et al “Nonlinear dynamics and machine learning of recurrent spiking neural networks” 65 1020–1038 (2022)

The list is formed automatically.