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

fYear

2009

fDate

6-8 Nov. 2009

Firstpage

290

Lastpage

293

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Chaos-Fractals Theories and Applications, 2009. IWCFTA '09. International Workshop on

Conference_Location

Shenyang

Print_ISBN

978-0-7695-3853-2

Type

conf

DOI

10.1109/IWCFTA.2009.67

Filename

5362012