Transient transition behaviors of fractional-order simplest chaotic circuit with bi-stable locally-active memristor and its ARM-based implementation  

作　　者：Zong-Li Yang Dong Liang Da-Wei Ding Yong-Bing Hu Hao Li 杨宗立;梁栋;丁大为;胡永兵;李浩(School of Electronics and Information Engineering,Anhui University,Hefei 230601,China;National Engineering Research Center for Agro-Ecological Big Data Analysis&Application,Anhui University,Hefei 230601,China;State Grid Lu’an Electric Power Supply Company,Lu’an 237006,China)

机构地区：[1]School of Electronics and Information Engineering,Anhui University,Hefei 230601,China [2]National Engineering Research Center for Agro-Ecological Big Data Analysis&Application,Anhui University,Hefei 230601,China [3]State Grid Lu’an Electric Power Supply Company,Lu’an 237006,China

出　　处：《Chinese Physics B》2021年第12期88-101,共14页中国物理B（英文版）

摘　　要：This paper proposes a fractional-order simplest chaotic system using a bi-stable locally-active memristor.The characteristics of the memristor and transient transition behaviors of the proposed system are analyzed,and this circuit is implemented digitally using ARM-based MCU.Firstly,the mathematical model of the memristor is designed,which is nonvolatile,locally-active and bi-stable.Secondly,the asymptotical stability of the fractional-order memristive chaotic system is investigated and some sufficient conditions of the stability are obtained.Thirdly,complex dynamics of the novel system are analyzed using phase diagram,Lyapunov exponential spectrum,bifurcation diagram,basin of attractor,and coexisting bifurcation,coexisting attractors are observed.All of these results indicate that this simple system contains the abundant dynamic characteristics.Moreover,transient transition behaviors of the system are analyzed,and it is found that the behaviors of transient chaotic and transient period transition alternately occur.Finally,the hardware implementation of the fractional-order bi-stable locally-active memristive chaotic system using ARM-based STM32F750 is carried out to verify the numerical simulation results.

关 键 词：fractional calculus bi-stable locally-active memristor transient transition behaviors ARM implementation 

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