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TitleFinite multidimensional behaviors.
Author(s) Lisa Wagner, Eva Zerz
TypeArticle in Journal
AbstractWe study finitely generated and finite systems defined by linear partial difference equations with constant coefficients in a Noetherian ring. The two notions coincide for finite rings, and we show that all finite systems exhibit certain periodicity properties. For the particular case of systems over the ring of integers modulo m > 1, which is important in coding theory, a method is given for determining the number of trajectories, using Gröbner basis techniques.
KeywordsDiscrete multidimensional systems, Behavioral approach, Systems over rings, Finiteness conditions, Periodic solutions, Gröbner bases
ISSN0923-6082; 1573-0824/e
URL http://link.springer.com/article/10.1007%2Fs11045-010-0101-8
LanguageEnglish
JournalMultidimensional Syst. Signal Process.
Volume23
Number1-2
Pages5--15
PublisherSpringer US, New York, NY
Year2012
Edition0
Translation No
Refereed No
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