Study On Chaotic Circuit Based On Memory Devices

Chaos is topics at the forefront and academic hot spot generally concerned by today’s academia. After half a century of development, chaos has penetrated into the natural sciences and engineering fields. Chaos has broad application prospects in many fields such as electronics, mechanics, communications engineering, computer engineering, applied mathematics and experimental physics and so on. Chaotic circuit is the foundation of technology research and application, so theory analysis of the chaotic circuit including judgment of chaotic behavior, formation mechanism of chaos and stability and bifurcation of circuits and so on is an important problem needed to study and resolve urgently.In recent years, applying memory elements in chaotic circuit has become a new hot research direction with their presentation and realization. The memristor is a novel type of nonlinear two-terminal nanoscale memory element and has promising applications in the areas of nonvolatile memory, very large scale integration(VLSI), artificial neural networks, chaotic circuits and so on. The development of memristor is expected to improve the theoretical foundation of entire electronic circuits. Memory elements have a unique nonlinear circuit characteristics, thus they can easily be combined with conventional electronic devices to generate chaos.In this paper, simulation models of the memory elements will be created and their main characteristics will be analyzed. Using memory elements to construct a series of new chaotic circuit and make a detailed dynamics analysis. Many unique physical phenomenon is different from the traditional chaotic circuits. The main contents include the following four parts:(1) Based on the theory of nonlinear circuits, we establish mathematical models of the physical models of the memory elements and then realize intuitive simulink simulation models in MATLAB environment. Change of state of a simulation model under different excitation signals and component parameters is observed through computer simulation, take comparative analysis of the test results. (2) A memristor based MLC chaotic circuit, directly derived from MLC chaotic circuit by replacing Chua’s diode with a flux-controlled memristor characterized by a smooth cubic nonlinear function, is presented in this paper. This circuit system is simple, and can produce rich bifurcation and chaotic behavior. By using conventional dynamical analysis method such as phase orbit diagram, Lyapunov exponent spectrum, Poincare map, power spectrum, bifurcation diagram and so on, the dynamics behavior and a detailed study of dynamics of the system with the variations of initial conditions and circuit parameters are achieved.(3) Using a passive smooth flux-controlled memristor and a negative conductance constitute an active memristor circuit to replace Chua’s diode, and a periodic sinusoidal AC voltage source in series with inductor, we get a new nonautonomous smooth memristor oscillator. Similarly, by using conventional dynamical analysis method such as phase orbit diagram, Lyapunov exponent spectrum, Poincare map, power spectrum, bifurcation diagram and so on, the dynamics behavior and a detailed study of dynamics of the system with the variations of initial conditions and circuit parameters are achieved.(4) Then a new meminductor based chaotic circuit consist of a smooth flux-controlled meminductor and conventional electronic devices is investigated. Based on numerical calculation, computer simulation results show that dynamic characteristics of the circuit is very complex. It provides a feasible basis for future applications.The achievement provides important theoretical support and experimental basis for applying memory elements to chaos theory. They are expected to has applications in the fields of chaotic communication, chaotic encryption and chaos control and synchronization and so on. Therefore, the subject is of great significance for theoretical research and engineering applications...