SELF-SIMILAR STRUCTURE OF RESCALED EVOLUTION SETS OF CELLULAR AUTOMATA I-Reference-Cited by-同舟云学术

SELF-SIMILAR STRUCTURE OF RESCALED EVOLUTION SETS OF CELLULAR AUTOMATA I

Published:2001-04 Issue:04 Volume:11 Page:913-926
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

HAESELER F. v.¹²,PEITGEN H.-O.²,SKORDEV G.¹²

Affiliation:

1. Center for Complex Systems and Visualization, University of Bremen, Universitätsallee 29, D-28359 Bremen, Germany

2. Department of Mathematics, Florida Atlantic University, Boca Raton, FL 33431, USA

Abstract

The self-similarity properties of the orbits of a class of cellular automata are deciphered by matrix substitutions, hierarchical iterated function systems and appropriate scaling procedure.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127401002481

Reference28 articles.

3. ON A CLASS OF FRACTAL MATRICES (I) EXCESS-MATRICES AND THEIR SELF-SIMILAR PROPERTIES

4. ON A CLASS OF FRACTAL MATRICES II: DISTRIBUTION AND SCALE-DEPENDENT FRACTAL DIMENSIONS OF THE INTEGER SETS IN EXCESS-MATRICES AND THEIR DISGUISES

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