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Global dynamics of finite cellular automata


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.

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.

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.

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3 citations in Web of Science®
3 citations in Scopus®
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Additional indexing

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:05 Apr 2016 13:10
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:https://doi.org/10.1007/978-3-540-87536-9_8
Other Identification Number:ini:13113

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