Periodic behaviour of one and two-dimensional neural networks

Research output: Contribution to journalConference articlepeer-review


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.

Original languageEnglish
Pages (from-to)97
Number of pages1
JournalNeural Networks
Issue number1 SUPPL
StatePublished - 1988
Externally publishedYes
EventInternational Neural Network Society 1988 First Annual Meeting - Boston, MA, USA
Duration: 6 Sep 198810 Sep 1988


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