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

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.