Title :
Chaotic Behavior in a Delay Difference Equation
Author :
Li, Zongcheng ; Liang, Di ; Zhao, Qingli
Author_Institution :
Dept. of Math., Shandong Jianzhu Univ., Jinan, China
Abstract :
This paper is concerned with chaos in a delay difference equation. The map of the system is proved to be chaotic in the sense of both Devaney and Li-Yorke under some conditions, by employing the snap-back repeller theory. Some computer simulations are provided to illustrate the theoretical result.
Keywords :
chaos; difference equations; chaotic behavior; delay difference equation; snap back repeller theory; Chaos; Computer simulation; Delay; Difference equations; Mathematical model; Chaos; Chaos in the sense of Devaney; Chaos in the sense of Li-Yorke; Delay difference equation; Snap-back repeller;
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.2012.23
