Title :
Dpq chaos for subshifts of finite type
Author :
Liu, Xin ; Wang, Huoyun ; Wu, Hongying
Author_Institution :
Dept. of Math., Guangzhou Univ., Guangzhou, China
Abstract :
Given 0 ≤ p ≤ q ≤ 1, a dynamical system is said to be Dpq chaotic, if there is an uncountable set in which any two different points have trajectory approaching time set with lower density p and upper density q . In this paper, we show that if a subshift of finite type has positive topological entropy then it is Dpq chaos for any 0 ≤ p ≤ q ≤ 1 .
Keywords :
chaos; entropy; nonlinear dynamical systems; set theory; topology; Dpq chaos; dynamical system; finite type subshift; lower density; positive topological entropy; trajectory approaching time set; upper density; Chaos; Education; Entropy; Measurement; Strontium; Trajectory; Dpq chaos; positive entropy; subshifts of finite type;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002379
