关键词: 混沌系统, 动力学行为, 忆阻器, FPGA

Abstract: Using the hyperbolic sine function memristor as the positive feedback term, a four- dimensional chaos model with four wings is designed. Firstly, the system is numerically solved using Runge-Kutta algorithm, and the stability of the system is analyzed. It is found that the system has only one equilibrium point as saddle point. Moreover, the dynamic analysis of the system is carried out, and the Lyapunov exponent and bifurcation diagram with the system parameters are drawn. Besides, the Lyapunov dimension of the system is calculated and the corresponding system is obtained. With the change of the motion states when the parameters change, it is found that there are many motion forms of the system, such as periods and chaos. Finally, a chaotic circuit system is designed by FPGA, and the results observed by oscilloscope are basically consistent with the numerical results, which lays a foundation for the application of memristor chaotic system in communication.

Key words: chaotic system, dynamic behavior, memristor, FPGA