一个四翼超混沌系统的多翼效应及其控制电路实现  

The multi-winged effect of the four-winged hyperchaotic system and its control circuit implementation

作　　者：杨志宏[1] 屈双惠[1] 王清[2] 

机构地区：[1]石家庄学院物理与电气信息工程学院,石家庄050035 [2]邢台职业技术学院电气工程系,河北邢台054000

出　　处：《华中师范大学学报（自然科学版）》2015年第5期696-700,706,共6页Journal of Central China Normal University：Natural Sciences

基　　金：河北省自然科学基金项目(F2013106079);石家庄市科技计划指导项目(141131561);石家庄学院科研平台建设成果(XJPT002)

摘　　要：设计了一种新的分段线性函数.通过将分段函数替代四翼混沌系统中的状态变量,构造出一个新系统,实现了原四翼系统的多翼效应.对新系统的相图、Lyapunov指数谱、分岔图和Poincaré截面等进行了分析,并设计了新系统的模拟电路,利用该方法设计的电路形式简单易于实现,Multisim模拟结果与Matlab数值仿真结论相一致,表明了该方法的可行性.A novel piecewise linear function is designed in this paper. It is used to replace the state variable in the four-winged chaotic system to generate the multi-winged effect from the previous four-winged system. Dynamic properties of the new system are investigated via phase diagram, Lyapunov exponent, bifurcation and Poincare diagrams. An analog circuit is designed for the new system, which is simple and easy to implement. Matlab numerical simulation results are consistent with Multisim experimental results, which shows the feasibility of the proposed method.

关 键 词：分段线性函数 多翼效应 四翼混沌系统 

分 类 号：O415[理学—理论物理]