A Non-inductive Memristive Chaotic Circuit And Its Characteristics Research

Memristor,as the fourth basic circuit element,has the characteristics of low power consumption,fast speed,scalability,nano-structure,etc.,and it would be significantly applicable in many fields like new type of memory,artificial neural networks,and nonlinear chaotic circuit systems.In the filed of chaotic circuit systems,it has been studied extensively in designing chaotic circuit by employing memristors.Because the memristor is a nano-component with the characteristics of non-linear,compared to other chaotic circuits,its addition can make circuit structure simpler and get more complex dynamic characteristics.The existence of inductive components in chaotic circuits makes it difficult to miniaturize circuit integration.Therefore,it also becomes an important direction to study on designing memristive chaotic circuits without inductive components which have a simpler structure.This paper will study on memristive chaotic circuits without inductive components and memristive chaotic systems with complex dynamic characteristics,and complete the corresponding theoretical analysis,numerical simulation and hardware circuit implementation.The specific research contents and innovations of this paper are as follows:(1)In order to avoid the appearance of inductive elements in the circuit,an idea is proposed that two flux-controlled memristors chaotic circuit is designated based on a current feedback operational amplifier.This circuit contains only five electronic components,and its circuit topological struture is very simple,without inductance.The fourth order ordinary differential equations are established through mathematical modeling,by which the dynamic characteristics of the system are analyzed.The system can produce complex dynamic behaviors such as periodic,chaos and pseudo-periodic.By adjusting the parameters of the system,it can produce multiwing and transient phenomena.If changing the initial state of the memristor,we can observe that the system has a multistability phenomenon.The result of the Multisim simulation is consistent with that of Matlab numerical simulation.(2)Without relying on the nonlinear function module in the circuit system,a simple non-inductive memristive chaotic circuit is designed so as to present the characteristics of multi-scroll and multi-wing variable attractors.The circuit consists of only five electronic components,namely a current feedback operational amplifier,two memristors and two capacitors.By mathematical modeling,the basic dynamic behavior of the system when the circuit parameters are changed is studied detailedly with conventional nonlinear analysis,such as phase diagram,Lyapunov exponential spectra and bifurcation diagrams.By adjusting the control parameters of the system,it can generate very rich dynamic phenomena such as multi-scroll,multi-wing and transient chaos.In addition,the multistability of the system,which depends on the initial state of the memristor,is also studied.The results show that the system has a strong sensitivity to the initial value of the memristor.Finally,the hardware circuit is implementated.Experiment results are consistent with that of the numerical simulation analysis.