MULTIFRACTAL PROPERTIES OF R90 CELLULAR AUTOMATON WITH MEMORY

Juan R. Sánchez () and Ramón Alonso-Sanz ()
Additional contact information
Juan R. Sánchez: Fac. Ingeniería-Universidad Nacional de Mar del Plata, J. B. Justo 4302, Mar del Plata, Argentina
Ramón Alonso-Sanz: ETSI Agrónomos (Estadística), C. Universitaria. 28040, Madrid, Spain

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 10, 1461-1470

Abstract: Standard Cellular Automata (CA) are ahistoric (memoryless Markov process), i.e., the new state of a cell depends on the neighborhood configuration only at the preceding time step. This article considers the fractal and multifractal properties of an extension to the standard framework of CA implemented by the inclusion of memory capabilities. Thus, in CA with memory, while the update rules of the CA remain unaltered, historic memory of all past iterations is retained by featuring each cell by a summary of all its past states. A study is made of the effect of historic memory on the multifractal dynamical characteristics of one-dimensional cellular automata operating under one of the most studied rules, rule 90, which is well known to display a rich complex behavior.

Keywords: Cellular automata; scaling exponents; multifractal properties; memory (search for similar items in EconPapers)
Date: 2004
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183104006868
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:15:y:2004:i:10:n:s0129183104006868

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183104006868

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().