Title :
Chaos and Its Synchronization in a Fractional Order Neutral Differential System
Author :
Lin, Xiaoran ; Zhou, Shangbo ; Liao, Xiaofeng ; Tang, Xiubang
Author_Institution :
Dept. of Comput. Sci. & Eng., Chongqing Univ., Chongqing, China
Abstract :
In this paper, for the first time, chaos in fractional-order neutral delay differential equation (NDDE) is discussed. Chaos in fractional-order neutral delay differential equation is illustrated by presenting its waveform graphs, states diagrams and bifurcation graphs. Also the investigating result shows that the chaos in such fractional order neutral delay differential equation can be synchronized and realize spread secure communications.
Keywords :
bifurcation; chaos; differential equations; graph theory; synchronisation; waveform analysis; NDDE; bifurcation graphs; chaos; fractional order neutral differential system; fractional-order neutral delay differential equation; states diagrams; synchronization; waveform graphs; Application software; Bifurcation; Chaos; Chaotic communication; Computer science; Delay systems; Differential equations; Laser feedback; Petrochemicals; Propagation delay; Chaos; fractiona order neutral delay differerntial equation; secure commnunications.; synchronized;
Conference_Titel :
Chaos-Fractals Theories and Applications, 2009. IWCFTA '09. International Workshop on
Conference_Location :
Shenyang
Print_ISBN :
978-0-7695-3853-2
DOI :
10.1109/IWCFTA.2009.67
