Title :
Subsystems and Glider Dynamics of Hyper Bernoulli CA Rule 26
Author :
Han, Yunfang ; Chen, Fangyue ; Wang, Yi
Author_Institution :
Sch. of Sci., Hangzhou Dianzi Univ., Hangzhou, China
Abstract :
ECA rule 26, a member of Wolfram´s class IV and Chua´s hyper Bernoulli shift rules, defines infinitely many subsystems and possesses rich and complex dynamics including an infinite number of gliders and a catalog of glider collisions. Precisely, it holds positive topological entropies and topologically transitivity on the infinitely many subsystems, and is topologically mixing on another three subsystems, hence, the rule is chaotic in the sense of Li-Yorke and/or Devaney in the symbolic sequence space.
Keywords :
cellular automata; entropy; topology; Chua hyper Bernoulli shift rule; ECA rule 26; Wolfram class IV; cellular automata; glider collision; glider dynamics; hyper Bernoulli CA rule 26; symbolic sequence space; topological entropy; Automata; Catalogs; Chaos; Compounds; Entropy; Nonlinear dynamical systems; Orbits; Cellular Automata; Glider; Glider Collision; Symbolic Dynamics;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2010 International Workshop on
Conference_Location :
Kunming, Yunnan
Print_ISBN :
978-1-4244-8815-5
DOI :
10.1109/IWCFTA.2010.37
