中国物理B ›› 2008, Vol. 17 ›› Issue (11): 4033-4038.doi: 10.1088/1674-1056/17/11/016
Realization of fractional-order Liu chaotic system by a new circuit unit
许 喆, 刘崇新
- School of Electrical Engineering, Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an 710049, China
Realization of fractional-order Liu chaotic system by a new circuit unit
Xu Zhe (许喆), Liu Chong-Xin (刘崇新)
- School of Electrical Engineering, Key Laboratory of Electrical Insulation and Power Equipment, Xi'an Jiaotong University, Xi'an 710049, China
摘要： A new circuit unit for the analysis and the synthesis of the chaotic behaviours in a fractional-order Liu system is proposed in this paper. Based on the approximation theory of fractional-order operator, an electronic circuit is designed to describe the dynamic behaviours of the fractional-order Liu system with $\alpha =0.9$. The results between simulation and experiment are in good agreement with each other, thereby proving that the chaos exists indeed in the fractional-order Liu system.
中图分类号: (Nonlinear dynamics and chaos)
- 05.45.-a