New Memristor Model And Its Circuit Implementation And Its Application In Chaotic Circuit

Memristor as the fourth fundamental circuit element besides resistor,capacitor and Inductor,which characterized with nonlinear characteristic and memory function,has a wide range of potential applications in nonvolatile impedance memory,neural network,programmable logic and chaotic circuit areas.In 2015,the knowm memristor is available as a commercial component.However,the knowm memristor is developed specifically for neuromemristive applications,and the cost in fabricating knowm memristor is high,and the price is high.Thus propose a memristor model with simple structure and easy to circuit realization will be great significance in the studies of application based on memristor.Chaos signal,which characterized with sensitivity to initial conditions and randomness,has a wide range of applications in secure communication,digital watermarking and video encryption areas.Chaotic circuit based on memristor has different characteristics with general chaotic circuit,thus study chaotic circuit based on memristor will be great significance for engineering application.This paper briefly introduces the research background and significance of memristor modeling and memristor-based chaotic circuit,and analyzes the domestic and international research status of memristor models,memristor-based chaotic circuit and their circuit realization.At the basis of reading a lot of literatures of memristor and memristor-based chaotic circuit,novel memristor models and new memristor-based chaotic systems are proposed.Furthermore,circuit implementations of the memristor models and memristor-based chaotic systems are carefully proposed.The main work and results of this paper are as follows:(1)A generalized voltage-controlled memristor model and its circuit implementation are proposed.The memductance function of the proposed generalized voltage-controlled memristor model only contained a quadratic nonlinearity term without constant term.The voltage-current relationship of the proposed memristor model is analyzed by Multisim simulation and circuit experiment.Based on the proposed generalized voltage-controlled memristor model,a new simple chaotic circuit is designed,which only contained a linear negative resistor,a capacitor,an inductor and the proposed generalized voltage-controlled memristor model.The dynamical behaviors of the designed chaotic system are studied by theoretical analyses and Matlab numerical simulation,such as equilibrium point,Lyapunov exponents,bifurcation diagram and phase portraits.Finally,an electronic circuit is designed to implement the chaotic system.The circuit experimental results are in good agreements with the numerical simulation results.Compared with the recently proposed chaotic circuit based on memristor,the circuit has simple circuit topology and easy to be realized.(2)A memristor model with linear memductance and its circuit implementation are proposed.The voltage-current relationship of the proposed memristor model is analyzed by Multisim simulation and circuit experiment.Based on the proposed memristor model,a new hyper-chaotic system with rich dynamic behavior is proposed.The dynamical behaviors of the proposed hyper-chaotic system are studied by theoretical analyses and Matlab numerical simulation,such as equilibrium point,Lyapunov exponents,bifurcation diagram and phase portraits.Finally,an electronic circuit is designed to implement the hyper-chaotic system.The circuit experimental results are in good agreements with the numerical simulation results,which verified the feasibility of this method.Compared with the recently proposed chaotic system,the proposed memristor-based hyper-chaotic system has rich danamics and easy to be realized.