Synchronisation in neural networks

H.D. Abarbanel^a, M.I. Rabinovich^b, A. Selverston^a, M.V. Bazhenov^b, R. Huerta^a, M.M. Sushchik^b, L.L. Rubchinskii^b
^aDepartment of Physics, University of California, Santa Barbara, CA, USA
^bFederal Research Center A.V. Gaponov-Grekhov Institute of Applied Physics of the Russian Academy of Sciences, ul. Ulyanova 46, Nizhny Novgorod, 603000, Russian Federation

The construction of a dynamical theory of neural networks has been a goal of physicists, mathematicians and biologists for many years now. Experimental breakthroughs in modern neurobiology have allowed researchers to approach this goal. Significant advances have been made for small neural networks, which are generators of the rhythmic activities of living organisms. The subject of the present review is the problem of synchronisation, one of the major aspects of the dynamical theory. It is shown that synchronisation plays a key role in the activity of both minimal neural networks (neural pair) and neural assemblies with a large number of elements (cortex).

PACS: 87.10.+e
DOI: 10.1070/PU1996v039n04ABEH000141
URL: https://ufn.ru/en/articles/1996/4/b/
Web of Science

A1996UQ05700002
Citation: Abarbanel H D, Rabinovich M I, Selverston A, Bazhenov M V, Huerta R, Sushchik M M, Rubchinskii L L "Synchronisation in neural networks" Phys. Usp. 39 337–362 (1996)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Абарбанель Г Д, Рабинович М И, Селверстон А, Баженов М В, Хуэрта Р, Сущик М М, Рубчинский Л Л «Синхронизация в нейронных ансамблях» УФН 166 363–390 (1996); DOI: 10.3367/UFNr.0166.199604b.0363

References (149) Cited by (147) Similar articles (20) ↓

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.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)
M.I. Rabinovich, M.K. Muezzinoglu “Nonlinear dynamics of the brain: emotion and cognition” Phys. Usp. 53 357–372 (2010)
D.S. Chernavskii “The origin of life and thinking from the viewpoint of modern physics” Phys. Usp. 43 151–176 (2000)
N.M. Astaf’eva “Wavelet analysis: basic theory and some applications” Phys. Usp. 39 1085–1108 (1996)
V.S. Anishchenko, A.B. Neiman et al “Stochastic resonance: noise-enhanced order” Phys. Usp. 42 7–36 (1999)
M.I. Rabinovich, M.M. Sushchik “The regular and chaotic dynamics of structures in fluid flows” Sov. Phys. Usp. 33 (1) 1–35 (1990)
A.N. Pavlov, A.E. Hramov et al “Wavelet analysis in neurodynamics” Phys. Usp. 55 845–875 (2012)
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)
M.B. Menskii “Concept of consciousness in the context of quantum mechanics” Phys. Usp. 48 389–409 (2005)
O.V. Maslennikov, V.I. Nekorkin “Adaptive dynamical networks” Phys. Usp. 60 694–704 (2017)
V.V. Klinshov, V.I. Nekorkin “Synchronization of delay-coupled oscillator networks” Phys. Usp. 56 1217–1229 (2013)
S.M. Osovets, D.A. Ginzburg et al “Electrical activity of the brain: Mechanisms and interpretation” Sov. Phys. Usp. 26 801–828 (1983)
I.M. Dremin, O.V. Ivanov, V.A. Nechitailo “Wavelets and their uses” Phys. Usp. 44 447–478 (2001)
Yu.L. Klimontovich “Nonlinear Brownian motion” Phys. Usp. 37 737–766 (1994)
A.A. Koronovskii, O.I. Moskalenko, A.E. Hramov “On the use of chaotic synchronization for secure communication” Phys. Usp. 52 1213–1238 (2009)
G.R. Ivanitskii “21st century: what is life from the perspective of physics?” Phys. Usp. 53 327–356 (2010)
Yu.F. Krupyanskii, V.I. Gol’danskii “Dynamical properties and energy landscape of simple globular proteins” Phys. Usp. 45 1131–1151 (2002)
V.N. Pokrovskii “Low-frequency dynamics of dilute solutions of linear polymers” Phys. Usp. 37 375–391 (1994)
M.I. Rabinovich “Stochastic self-oscillations and turbulence” Sov. Phys. Usp. 21 443–469 (1978)

The list is formed automatically.