Reviews of topical problems

Synchronisation in neural networks

 a,  b,  a,  b,  a,  b,  b
a Department of Physics, University of California, Santa Barbara, CA, USA
b Federal 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).

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Fulltext is also available at DOI: 10.1070/PU1996v039n04ABEH000141
PACS: 87.10.+e
DOI: 10.1070/PU1996v039n04ABEH000141
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)
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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

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