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ISCS 2013: Interdisciplinary Symposium on Complex SystemsComplex Self-Reproducing Systems

ISCS 2013: Interdisciplinary Symposium on Complex Systems: Complex Self-Reproducing Systems [Cellular automata and L-Systems are well-known formal models to describe the behaviour of biological processes. They are discrete dynamical systems, each of which can have complex and varied behaviour. Here, we study a class of substitutive systems incorporating properties of both cellular automata and L-systems, that exhibits self-reproducing behaviour. A one-dimensional array of cells is considered, each cell has a set of modes or states which are determined by a number from \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {Z}/\mathbf{{n}}\mathbb {Z}^*$$\end{document} (\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n$$\end{document} prime). The behaviour of a cell depends on the states of its neighbours and obeys an additive rule. It has also a cell-division mode, which allows the line of cells to grow. The behaviour of such a model can be complex, but, using algebraic techniques, we prove that it can describe a reproducing system.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

ISCS 2013: Interdisciplinary Symposium on Complex SystemsComplex Self-Reproducing Systems

Part of the Emergence, Complexity and Computation Book Series (volume 8)
Editors: Sanayei, Ali; Zelinka, Ivan; Rössler, Otto E.
Edwards, Roderick; Maignan, Aude
ISCS 2013: Interdisciplinary Symposium on Complex Systems — Feb 16, 2014
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12 pages

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Publisher
Springer Berlin Heidelberg
Copyright
© Springer-Verlag Berlin Heidelberg 2014
ISBN
978-3-642-45437-0
Pages
65 –76
DOI
10.1007/978-3-642-45438-7_7
Publisher site
See Chapter on Publisher Site

Abstract

[Cellular automata and L-Systems are well-known formal models to describe the behaviour of biological processes. They are discrete dynamical systems, each of which can have complex and varied behaviour. Here, we study a class of substitutive systems incorporating properties of both cellular automata and L-systems, that exhibits self-reproducing behaviour. A one-dimensional array of cells is considered, each cell has a set of modes or states which are determined by a number from \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {Z}/\mathbf{{n}}\mathbb {Z}^*$$\end{document} (\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$n$$\end{document} prime). The behaviour of a cell depends on the states of its neighbours and obeys an additive rule. It has also a cell-division mode, which allows the line of cells to grow. The behaviour of such a model can be complex, but, using algebraic techniques, we prove that it can describe a reproducing system.]

Published: Feb 16, 2014

Keywords: Self-reproducing systems; Self-organizing systems; Cellular automata; Substitution systems; L-systems

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