Title :
A New Property of Logistic Map with Scalable Precision
Author :
Liu, Jiahui ; Zhang, Hongli ; Song, Dahua ; Buza, M.K. ; Yang, Bo ; Guo, Cong
Author_Institution :
Coll. of Comput. Sci. & Technol., Harbin Univ. of Sci. & Technol., Harbin, China
Abstract :
In this paper, iteration method of logistic map with low positions is introduced in order to investigate property of logistic map. Basic structure of logistic map is proposed, which consists of common gene positions (CGPs) and individual gene positions (IGPs). CGPs have the same value of corresponding positions which transferred from previous numerical solutions. The ergodicity and long-term unpredictability of logistic map are largely dependent on IGPs. CGPs and IGPs can help us to deeply understand the property of chaos.
Keywords :
chaos; iterative methods; chaos; common gene positions; ergodicity; individual gene positions; iteration method; logistic map; long-term unpredictability; numerical solutions; scalable precision; Accuracy; Chaotic communication; Educational institutions; Logistics; Orbits; chaos; logistic map; low position; numerical simulation;
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.2012.24
