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)

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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 (48) Similar articles (20) ↓

O.V. Maslennikov, V.I. Nekorkin “Adaptive dynamical networks” Phys. Usp. 60 694–704 (2017)
M.I. Rabinovich, M.K. Muezzinoglu “Nonlinear dynamics of the brain: emotion and cognition” Phys. Usp. 53 357–372 (2010)
A.A. Koronovskii, O.I. Moskalenko, A.E. Hramov “On the use of chaotic synchronization for secure communication” Phys. Usp. 52 1213–1238 (2009)
M.A. Tsyganov, V.N. Biktashev et al “Waves in systems with cross-diffusion as a new class of nonlinear waves” Phys. Usp. 50 263–286 (2007)
G.R. Ivanitskii, A.B. Medvinskii, M.A. Tsyganov “From the dynamics of population autowaves generated by living cells to neuroinformatics” Phys. Usp. 37 961–989 (1994)
A.E. Hramov, N.S. Frolov et al “Functional networks of the brain: from connectivity restoration to dynamic integration” Phys. Usp. 64 584–616 (2021)
G.R. Ivanitskii “The self-organizing dynamic stability of far-from-equilibrium biological systems” Phys. Usp. 60 705–730 (2017)
G.R. Ivanitskii “21st century: what is life from the perspective of physics?” Phys. Usp. 53 327–356 (2010)
G.R. Ivanitskii, A.B. Medvinskii, M.A. Tsyganov “From disorder to order as applied to the movement of micro-organisms” Sov. Phys. Usp. 34 (4) 289–316 (1991)
A.N. Pavlov, A.E. Hramov et al “Wavelet analysis in neurodynamics” Phys. Usp. 55 845–875 (2012)
G.N. Borisyuk, R.M. Borisyuk et al “Models of neural dynamics in brain information processing — the developments of ’the decade’” Phys. Usp. 45 1073–1095 (2002)
G.I. Strelkova, V.S. Anishchenko “Spatio-temporal structures in ensembles of coupled chaotic systems” Phys. Usp. 63 145–161 (2020)
L.V. Doronina-Amitonova, I.V. Fedotov et al “Neurophotonics: optical methods to study and control the brain” Phys. Usp. 58 345–364 (2015)
D.S. Chernavskii “The origin of life and thinking from the viewpoint of modern physics” Phys. Usp. 43 151–176 (2000)
V.S. Anishchenko, S.V. Astakhov “Poincaré recurrence theory and its applications to nonlinear physics” Phys. Usp. 56 955–972 (2013)
S.P. Kuznetsov “Dynamical chaos and uniformly hyperbolic attractors: from mathematics to physics” Phys. Usp. 54 119–144 (2011)
V.K. Vanag “Waves and patterns in reaction-diffusion systems. Belousov-Zhabotinsky reaction in water-in-oil microemulsions” Phys. Usp. 47 923–941 (2004)
G.R. Ivanitskii, A.B. Medvinskii et al “From Maxwell’s demon to the self-organization of mass transfer processes in living systems” Phys. Usp. 41 1115–1126 (1998)
H.D. Abarbanel, M.I. Rabinovich et al “Synchronisation in neural networks” Phys. Usp. 39 337–362 (1996)
M.B. Menskii “Concept of consciousness in the context of quantum mechanics” Phys. Usp. 48 389–409 (2005)

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