Title :
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
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;
Conference_Titel :
Control Engineering and Communication Technology (ICCECT), 2012 International Conference on
Conference_Location :
Liaoning
Print_ISBN :
978-1-4673-4499-9
DOI :
10.1109/ICCECT.2012.255
