Schuele, M; Ott, T; Stoop, R (2008). Global dynamics of finite cellular automata. In: Kurkova-Pohlova, V; Neruda, R; Koutnik, J. Artificial Neural Networks - ICANN 2008. Berlin, 71-78. ISBN 978-3-540-87535-2.
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Abstract
A novel algebraic and dynamic systems approach to finite elementary cellular automata is presented. In particular, simple algebraic expressions for the local rules of elementary cellular automata are deduced and the cellular automata configurations are represented via Fourier analysis. This allows for a further analysis of the global dynamics of cellular automata by the use of tools derived from functional analysis and dynamical system theory.
| Item Type: | Book Section, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Neuroinformatics |
| DDC: | 570 Life sciences; biology |
| Language: | English |
| Date: | 2008 |
| Deposited On: | 11 Mar 2009 09:42 |
| Last Modified: | 04 Apr 2012 14:44 |
| Publisher: | Springer Verlag |
| Series Name: | Lecture Notes in Computer Science: Theoretical Computer Science and General Issues |
| Number: | 5163 |
| ISSN: | 0302-9743 |
| ISBN: | 978-3-540-87535-2 |
| Additional Information: | 18th International Conference, Prague, Czech Republic, September 3-6, 2008, Proceedings Part I |
| Publisher DOI: | 10.1007/978-3-540-87536-9_8 |
| Other Identification Number: | ini:13113 |
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