分数阶Lorenz超混沌系统的动力学分析与电路设计

摘要:

针对一类分数阶Lorenz超混沌系统,分别从系统的分岔图、Lyapunov指数图和吸引子相图等角度分析与验证了分数阶Lorenz超混沌系统丰富的动力学行为.同时基于整数阶混沌电路的设计策略,设计了模拟电路,实现了分数阶Lorenz超混沌系统.最后,通过示波器观察到电路仿真结果与数值仿真结果具有一致性,从而揭示了分数阶超混沌系统的可实现性,也表明了分数阶混沌电路的正确性.

This paper, for a fractional order Lorenz hyperchaotic system, is to analyze and verify the fractional order Lorenz hyperchaotic system dynamics behavior based on such numerical simulations as the bifurcation diagram, the Lyapunov index figure and attractor phase diagram. The analog circuit was designed and the fractional order Lorenz chaotic system is real- ized on the basis of integer order chaotic circuit design strategy. Finally, the consistence of numerical simulation results and cir- cuit simulation results observed through the oscilloscope reveals the realizability of hyperchaotic system of fractional order, and the validity of the fractional order chaotic circuit.

作者:

陈恒 雷腾飞 王震 刘文强

机构地区:

西京学院控制工程学院

出处:

《betway官方app 学报：自然科学版》 CAS 北大核心 2016年第1期59-63,共5页

基金:

陕西省教育厅科研计划项目(2013JK1068) 陕西省自然科学基础研究计划项目(2014JM4176)

关键词:

分数阶超混沌系统 LYAPUNOV指数 分岔图 模拟电路

fractional-order hyperchaotic system Lyapunov exponent bifurcation diagram~ simulation circuit

分类号:

O415.5 [理学—理论物理]

分数阶Lorenz超混沌系统的动力学分析与电路设计.pdf