基于复频法的分数阶Bao混沌系统的分析与电路模拟  

Analysis and circuit simulation of fractional-order Bao chaotic system based on frequency response approach

作　　者：雷腾飞 陈晓霞[2] 陈恒[3] LEI Teng-fei CHEN Xiao-xia CHEN Heng(School of Mechanical and Elec Jinan,250200. China School of Science School of Control Engineering, trical Engineering. Qilu Institute of Technology, Hebei University of Technology, Tianjin, 300401,China Xijing University , Shanxi xi＇an 710123,China)

机构地区：[1]齐鲁理工学院机电工程学院,山东济南250200 [2]河北工业大学理学院,天津300401 [3]西京学院控制工程学院,陕西西安710123

出　　处：《青海师范大学学报（自然科学版）》2017年第2期42-50,共9页Journal of Qinghai Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(61371163);济南市科学技术发展计划(16JK088)

摘　　要：本文基于复频法针对一类分数阶Bao混沌系统,从系统的分岔图、Lyapunov指数图和吸引子相位图等数值仿真分析验证了0.95阶次Bao混沌系统丰富的动力学特性,同时依据整数阶混沌电路的设计方法,设计了硬件电路,实现了该分数Bao混沌系统,最后,示波器绘制出相图与MATLAB仿真结果相一致,从而进一步揭示了分数阶Bao混沌系统的可实现性与混沌特性.In this paper, the chaotic system of a kind of fractional-order Bao chaotic system is studied based on frequency response approach, and the rich dynamic characteristics of 0.95 order Bao chaotic system are verified by numerical simulation of the bifurcation diagram, Lyapunov exponential diagram and attractor phase diagram. At the same time, according to the design method of the integral chaotic circuit, the hardware circuit is designed to achieve the fractional-order Bao chaotic system. Finally, the phase diagram of the oscilloscope is consistent with the MATLAB simulation results, which reveals the multiple realizability and chaotic characteristics of the fractional-order Bao chaotic system further.

关 键 词：复频法 分数阶Bao混沌系统 LYAPUNOV指数 电路 

分 类 号：O415.5[理学—理论物理]