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: Springer Verlag, 71-78.
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.
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 |
| Dewey Decimal Classification: | 570 Life sciences; biology |
| Language: | English |
| Date: | 2008 |
| Deposited On: | 11 Mar 2009 08:42 |
| Last Modified: | 18 Feb 2018 11:12 |
| 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 |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1007/978-3-540-87536-9_8 |
| Other Identification Number: | ini:13113 |
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Schuele, M