Analysis, circuit implementation and synchronization of a new chaotic system

Author

Wu Qing-Qing ; Li Tao

Author_Institution

Sch. of Inf. & Control, Nanjing Univ. of Inf. Sci. & Technol., Nanjing, China

fYear

2014

fDate

28-30 July 2014

Firstpage

6070

Lastpage

6073

Abstract

In this paper, a new chaotic system is proposed, which is a modified Sprott system by substituting absolute term with square term. For this new chaotic model, the dynamic properties including sensitivity to the initial value, Poincaré diagrams, Lyapunov exponent spectrum and bifurcation diagram are investigated, respectively. Moreover, the circuit of this system also is designed and realized via Multisim software. Finally, the synchronization is derived by only introducing a control term in the response system based on Lyapunov function method.

Keywords

Lyapunov methods; bifurcation; chaos; initial value problems; network synthesis; nonlinear control systems; synchronisation; Lyapunov exponent spectrum; Lyapunov function method; Multisim software; Poincare diagrams; Sprott system; bifurcation diagram; chaotic model; chaotic system; circuit implementation; dynamic property; initial value; response system; synchronization; Bifurcation; Chaotic communication; Lyapunov methods; Numerical simulation; Software; Synchronization; Bifurcation diagram; Chaotic system; Lyapunov exponents;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6895981

Filename

6895981