现代电子技术2017，Vol.40Issue(12)：22-27,6.DOI:10.16652/j.issn.1004-373x.2017.12.006
六维分数阶Lorenz-duffing系统仿真
Simulation of a six-dimensional fractional-order Lorenz-duffing system
摘要
Abstract
It is difficult to design an integer order chaotic system with complex chaotic behaviors and physical properties. In this paper,a six-dimensional fractional order Lorenz-duffing chaotic system is designed to solve this problem. The system in-troduces the fractional order differential operator into the integer order chaotic system. In addition,the equilibrium points and stability of the fractional order chaotic system,and its attractors,bifurcation diagram and Lyapunov exponent spectrum are ana-lyzed in detail. Finally,the fractional order chaotic circuit is designed,and the circuit is simulated and analyzed with Multisim software. The simulation results show that the designed fractional order chaotic system can generate chaotic signals.关键词
分数阶系统/Lorenz-duffing系统/Lyapunov指数/电路仿真Key words
fractional-order system/Lorenz-duffing system/lyapunov exponent/circuit simulation分类
信息技术与安全科学引用本文复制引用
田野,卢志茂,高雪瑶..六维分数阶Lorenz-duffing系统仿真[J].现代电子技术,2017,40(12):22-27,6.基金项目
国家自然科学基金(60603092 （）
60975042 （）
61502124) （）
