异分数阶chen系统的动力学特性及其多元电路实现  

The Dynamic Properties of the Heterogeneous Fractional Order chen System and Its Plural Circuit Implementation

作　　者：杨志宏[1] 张彩霞[1] 屈双惠[1] 王丽[1] 

机构地区：[1]石家庄学院物理与机电学院,河北石家庄050035

出　　处：《江西师范大学学报（自然科学版）》2017年第2期133-139,共7页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：河北省自然科学基金(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)资助项目

摘　　要：通过选取不同的分数阶数q(q_1=0.9,q_2=0.9,q_3=0.8)构造了异分数阶3维chen系统,对其相图、分岔图和Poincaré截面等动力学特性进行了分析,以树型、链型以及树链混合型的方式设计了系统的多元电路,并进行Multisim模拟仿真,电路仿真与Matlab数值仿真结果一致,证实了所设计的多元电路的有效性.By taking different values of the fractional-orders q（q1= 0.9,q2= 0.9,q3= 0.8）,the dynamic properties of the three-dimensional heterogeneous fractional order chen system are investigated via phase diagram,bifurcation and Poincaré diagrams.The tree type,chain type and mixed type plural analog circuit are designed using Multisim electronics platform to implement the new system.The plural circuit experimental results are all consistent with Matlab numerical simulation results,which show the effectiveness of the proposed circuit and prove that chaos actually exits in the heterogeneous fractional order chen system.

关 键 词：异分数阶 动力学特性 分岔图 POINCARÉ截面 多元电路 

分 类 号：O415[理学—理论物理]