Title :
Chaos in fractional difference equation
Author :
Xiao, Huang ; Ma, Yutian ; Li, Changpin
Author_Institution :
Dept. of Math., Shanghai Univ., Shanghai, China
Abstract :
Starting from the kicked equations of motion with fractional derivatives, we obtain the fractional discrete maps, which have memories. In this paper, we mainly display the fractional discrete maps: Zaslavsky map and Logistic map, and their chaotic behaviors.
Keywords :
chaos; difference equations; Zaslavsky map; chaos; fractional diference equation; fractional discrete maps; kicked motion equations; logistic map;
Conference_Titel :
Mechatronics and Embedded Systems and Applications (MESA), 2012 IEEE/ASME International Conference on
Conference_Location :
Suzhou
Print_ISBN :
978-1-4673-2347-5
DOI :
10.1109/MESA.2012.6275582
