双忆阻器混沌系统的分数阶分析及电路设计  

Fractional Order Analysis and Circuit Design of Double Memristor Chaotic System

作　　者：何娜 代文鹏 HE Na;DAI Wenpeng(School of Ocean Engineering,Yantai Institute of Science and Technology,Yantai 265600,China)

机构地区：[1]烟台科技学院海洋工程学院,山东烟台265600

出　　处：《河南科技》2025年第4期9-13,共5页Henan Science and Technology

摘　　要：【目的】研究双忆阻器在分数阶混沌系统的动力学特性及电路实现。【方法】首先,以整数阶混沌系统为基础,引入双忆阻器,构造新的双忆阻器混沌系统,增加混沌系统复杂性。其次,以双忆阻器混沌系统为研究对象,利用Adomian分解法对该系统进行分数阶分解处理,扩展整数阶次,并使用LE指数图、分岔图、相图和C_(0)复杂度不仅对双忆阻器混沌系统动力学行为进行分析。最后,利用链型阻容分抗电路及0.95阶次传递函数近似出分数阶电路,并进行Multisim仿真分析。【结果】结果表明,双忆阻器混沌系统对初值及忆阻器参数具有高度敏感性,且具有吸引子共存对称性、吸引子相似对称性和多态转移特性。【结论】对双忆阻器混沌系统进行分析,发现初值及参数对敏感性影响较大,可增强系统复杂性,实现系统从数学模型到分数阶混沌电路模型的转换。[Purposes]This paper aims to study the dynamic characteristics and circuit implementation of dual memristor in fractional-order chaotic system.[Methods]Based on the integer order chaotic system,a new chaotic system with double memristors is constructed,which increases the complexity of the cha⁃otic system,the integral order is extended by using the Adomian decomposition method,and the system dynamics behavior is analyzed by using LE exponent diagram,bifurcation diagram,phase diagram and complexity.The fractional order circuit is approximated by the chain resistive-capacitive reactance cir⁃cuit and the 0.95 order transfer function,and Multisim simulation is carried out.[Findings]The results show that the system is highly sensitive to the initial value and the parameters of the memristor,and has the symmetries of attractors,the symmetries of attractors and the properties of polymorphic transfer.[Con⁃clusions]By analyzing the chaotic system with dual memristor,it is found that the initial values and pa⁃rameters have great influence,which can enhance the complexity of the system and realize the transfor⁃mation from the mathematical model to the fractional order chaotic circuit model.

关 键 词：双忆阻器 分数阶分解 混沌电路 

分 类 号：TN60[电子电信—电路与系统] O415.5[理学—理论物理] TP273[理学—物理]