Study of Universal Constants of Bifurcation in a Chaotic Sine Map

Author

Qian Zhang ; Yong Xiang ; Zhenghang Fan ; Chuang Bi

Author_Institution

Sch. of Energy Sci. & Eng., Univ. of Electron. Sci. & Technol. of China, Chengdu, China

Volume

2

fYear

2013

fDate

28-29 Oct. 2013

Firstpage

177

Lastpage

180

Abstract

The symmetry breaking bifurcation of a sine map is discussed when the control parameter in the sine map is chosen as a bifurcation parameter. Based on the sine map, the bifurcation points can be derived by the iterative map. Then, the stability of the system is enhanced by employing a cubic and a linear chaotic controller to exactly control the locations of the bifurcation points. Moreover, the universal constants of the chaotic system have been obtained by numerical simulation. The validity of the theoretical analysis is proved by the diagrams of bifurcation and Lyapunov exponent.

Keywords

bifurcation; chaos; iterative methods; linear systems; nonlinear control systems; stability; bifurcation parameter; bifurcation points; chaotic sine map; control parameter; cubic controller; iterative map; linear chaotic controller; numerical simulation; symmetry breaking bifurcation; system stability; universal constants; Bifurcation; Chaos; Control systems; Mathematical model; Numerical stability; Stability analysis; chaos control; sine map; symmetry breaking bifurcation; universal constant;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Intelligence and Design (ISCID), 2013 Sixth International Symposium on

Conference_Location

Hangzhou

Type

conf

DOI

10.1109/ISCID.2013.158

Filename

6804857