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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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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
Deposited On:11 Mar 2009 08:42
Last Modified:04 Apr 2012 12:44
Publisher:Springer Verlag
Series Name:Lecture Notes in Computer Science: Theoretical Computer Science and General Issues
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
Citations:Google Scholar™
Scopus®. Citation Count: 2

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