Research On Memristor Model Design And Memristor Chaotic Circuit

Memristor the fourth basic device expect resistor, capacitor and inductor is proposed by Chinese scientist Leon O. Chua in 1971, and gives the definition of the memristor and interrelated circuits theory, but due to limitations of science and technology, it has not produced a physical memristor device, until 37 years later, the nano-memristor was produced by Hewlett-Packard under laboratory, subsequently many scientists are attracted to study memristor. The memristor is a nano-sized device, it has many difficulties to use the memristor in the actual circuit design, so designing a memristor analog equivalent circuit, which is analyzed and studied electrical memristor characteristics and application of specific engineering is important.The memristive circuit system could produce more complex chaotic phenomena because of its nonlinear properties. Some research has shown that the memristor chaotic systems in addition to reflect the sensitivity of the circuit parameters, but also highly dependent on the initial values of the memristor. Because the memristor memory characteristic and nano-scale properties, so it has potential applications in artificial neural network, a new memory and analog circuit.Memristor is a typical non-linear device which the resistance will change with the input excitation signal source, therefore memristor is a ideal components to build ultra-chaotic system, and memristor chaotic system with its system extreme sensitivity and chaos characteristic parameters of the initial conditions will be widely used in many fields of information encryption and chaotic secure communications. We focus on the application of memristor analog equivalent circuit design and circuit memristor chaos in secure communication, The main study and contributions are given as follows:According flux-controlled memristor electrical characteristics, a magnetic memristor analog equivalent circuit is proposed, the equivalent circuit can be a good simulation of magnetron memristor electrical characteristics, and the equivalent circuit structure is simple and easy to implement hardware, while the equivalent circuit simulation can be applied to practical memristor chaotic circuits.A flux-controlled memristor chaotic circuit is presented basis of the Chua's chaos circuit, the dynamic properties of the new circuit are demonstrated by means of dynamical methods. The corresponding circuit simulation implemented by Pspice,the Pspice simulation results are well consistent with theoretical analysis.A chaotic encryption scheme based on secret communications is proposed, In order to deal with the problem of synchronization of the memristor-based chaotic system, we present an adaptive control scheme for the synchronization of identical hyperchaotic systems with uncertain system parameters. Adopting the system parameter modulation technology, a new secure communication system based on adaptive synchronization is illustrated. The feasibility of this secure communication system is verified by numerical simulations.