Periodic behaviour of one and two-dimensional neural networks

E. Goles

doi:10.1016/0893-6080(88)90136-0

Periodic behaviour of one and two-dimensional neural networks

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Resumen

The periodic behaviour of neural networks has been studied by several authors: In previous work we proved that symmetric neural networks admit only fixed points or two-cycles, here we analyze one and two-dimensional uniform neural arrays. Periodic structure of previous networks was first studied by R. Shingai using exhaustive analysis of the different local transition functions f. Our approach uses Lyapunov functions which permit us to obtain directly the periodic structure and also give bounds on the transient length.

Idioma original	Inglés
Páginas (desde-hasta)	97
Número de páginas	1
Publicación	Neural Networks
Volumen	1
N.º	1 SUPPL
DOI	https://doi.org/10.1016/0893-6080(88)90136-0
Estado	Publicada - 1988
Publicado de forma externa	Sí
Evento	International Neural Network Society 1988 First Annual Meeting - Boston, MA, USA Duración: 6 sep. 1988 → 10 sep. 1988

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10.1016/0893-6080(88)90136-0

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title = "Periodic behaviour of one and two-dimensional neural networks",

abstract = "The periodic behaviour of neural networks has been studied by several authors: In previous work we proved that symmetric neural networks admit only fixed points or two-cycles, here we analyze one and two-dimensional uniform neural arrays. Periodic structure of previous networks was first studied by R. Shingai using exhaustive analysis of the different local transition functions f. Our approach uses Lyapunov functions which permit us to obtain directly the periodic structure and also give bounds on the transient length.",

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DO - 10.1016/0893-6080(88)90136-0

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IS - 1 SUPPL

T2 - International Neural Network Society 1988 First Annual Meeting

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Periodic behaviour of one and two-dimensional neural networks

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