Title :
Complexity of a Kind of Special Shift Map
Author :
Chu, Zhenyan ; Wang, Lidong ; Lin, Hong
Author_Institution :
Dept. of Math., Dalian Nat. Univ., Dalian, China
Abstract :
In this paper, we introduce the delayed shift on a one-sided symbolic space (with two symbols) and prove that the delayed shift has some complex dynamical properties. In addition, through the method of construction, we prove that there exists an uncountable subset of the one-sided symbolic space such that the restriction of the delayed shift on the subset is distributively chaotic.
Keywords :
chaos; complex dynamical properties; delayed shift; distributional chaos; one-sided symbolic space; special shift map; Complexity theory; Educational institutions; Electronic mail; Equations; Measurement; distributional chaos; shift; symbolic space;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2012 Fifth International Workshop on
Conference_Location :
Dalian
Print_ISBN :
978-1-4673-2825-8
DOI :
10.1109/IWCFTA.2012.13
