The Overlayed Characteristics of Chen and Duffing Chaos and Its Circuit Realization

Author

Jianming Liu ; Lejun Li

Author_Institution

Key Lab. of Ind. Comput. Control Eng. of Hebei Province, Yanshan Univ., Qinhuangdao, China

fYear

2012

fDate

7-9 Dec. 2012

Firstpage

291

Lastpage

294

Abstract

In order to analyze the overlayed characteristics of Chen and Duffing chaotic phenomenon appeared in the electric power system, a new complex chaotic model is produced by overlaying Chen chaotic model with Duffing chaotic model. The features of phase space maps, Lyapunov exponents maps and time domain of the new complex chaotic model are analysed. The Lyapunov exponent simulation results of the chaotic model show that new complex chaotic model has strong chaotic features. The results of theoretical analysis and experiment show that the new complex chaotic model belongs to a hyperchaotic model. Finally, the analog circuits are designed based on the new complex chaotic model.

Keywords

Lyapunov methods; chaos; power systems; time-domain analysis; Chen chaotic phenomenon; Duffing chaotic phenomenon; Lyapunov exponent simulation; analog circuits; circuit realization; complex chaotic model; electric power system; time domain; Analog circuits; Analytical models; Chaotic communication; Equations; Mathematical model; Power systems; Chen chaos; Duffing chaos; chaotic circuit; hyperchaos;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Engineering and Communication Technology (ICCECT), 2012 International Conference on

Conference_Location

Liaoning

Print_ISBN

978-1-4673-4499-9

Type

conf

DOI

10.1109/ICCECT.2012.255

Filename

6414100