Title :
Global Attractors and Chaos of Complex Bernoulli-shift Rules
Author :
Jin, Weifeng ; Chen, Fangyue
Author_Institution :
Coll. of Pharm. Sci., Zhejiang Chinese Med. Univ., Hangzhou, China
Abstract :
This paper provides a symbolic dynamics perspective to Chua´s topologically-distinct complex Bernoulli-shift rules 18, 122, 126 and 146. Through this work, a rigorous analysis of their global attractors is conducted in the space of bi-infinite symbolic sequences. Based on the concepts of blocking transformation and releasing transformation, their chaotic dynamics is further uncovered, including topological mixing and positive topological entropy.
Keywords :
cellular automata; chaos; entropy; phase transformations; topology; biinflnite symbolic sequences; blocking transformation; cellular automata; chaos; complex Bernoulli-shift rules; global attractors; positive topological entropy; Automata; Bifurcation; Complexity theory; Conferences; Entropy; Nonlinear dynamical systems; blocking transformation; cellular automata; chaos; global attractor; 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.2010.69
