High Order Chaotic Circuit Based On SBT Memristor And Its Dynamic Analysis

Memristor is a kind of nonlinear resistor.It can remember the amount of charge flowing through it and change its resistance by controlling the change of current.Its memory characteristic can not be reproduced by any combination of other three circuit elements.Because of the special characteristics of memristor,it can be used to construct chaotic circuits.Besides,due to the natural nonlinear characteristics of memristor,the chaotic circuits based on memristor are easy to produce rich dynamic behaviors.At present,most of the researches on chaotic circuits do not apply the physical memristor as a physical circuit component to the circuits.Most of the researches on memristor-based chaotic circuits are mainly realized by using "analog memristor",which is obviously different from the physical memristor.In this paper,the SBT physical memristor is used as the basic circuit component to construct chaos circuit.In this paper,the fourth-order and fifth-order chaotic circuits based on SBT nano physical memristor are designed.Using the combination of theoretical analysis and numerical simulation,the nonlinear dynamics of the initial states and circuit parameters to the high-order chaotic circuit based on SBT memristor is studied.By setting appropriate initial states and circuit parameters,it is found that there are abundant nonlinear dynamic behaviors in the designed circuit system,such as stable point,sink,period,limit cycle,chaos and so on.In the third chapter of this paper,a fourth-order chaotic circuit based on SBT memristor is proposed.The nonlinear dynamic analysis of the fourth-order chaotic circuit based on SBT memristor is carried out.The dependence of the dynamic behavior of the fourth-order circuit system on the initial state and circuit parameters is studied.It is found that the fourth-order circuit is affected by the initial conditions(?(0),u1(0),i3(0),u2(0))and circuit parameters(?,p,?,?).When the conditions and circuit parameters are set to different values,different dynamic characteristics can be obtained,including stable point,period,and chaos.Moreover,the fourth-order system changes with the initial state,and coexisting multi-dynamics occur,such as coexistence period and coexistence chaotic attractor.In the fourth chapter of this paper,a fifth-order chaotic circuit based on SBT memristor is proposed,and the dynamic analysis and coexistence analysis are carried out.The results show that the dynamic behavior of the fifth-order circuit is strongly influenced by the initial condition ?(0)and the circuit parameters ?.? and ?,resulting in a richer dynamic phenomenon than the fourth-order circuit,including stable point,sink,limit cycle,period,chaos.It is worth noting that there are hidden chaotic attractors in the fifth-order circuit,and there are abundant coexisting multi-dynamics,such as coexistence period,coexistence chaos and the coexistence of sink,period and chaos.Coexistence means that multiple memories coexist,which is of great significance in nonlinear science and information engineering.In particular,hidden chaotic attractors are also found in the circuit system.In this paper,the results on the chaotic circuit of the real memristor provides important theoretical basis for the hardware realization and practical application of the chaotic circuit.