Dynamic Analysis And FPGA Realization Of Memristive Chaotic System

With low power consumption,high integration and unique nonlinear characteristics,memristors have greatly contributed to the research development of nonlinear circuits.The combination of memristors and chaotic systems constitutes a memristor chaotic system,which is combined with the memristor chaotic system,often shows richer dynamic behavior.It can be used in chaos control,image encryption,secure communication.At the same time,the memristor chaotic system is easily affected by discrete devices,which leads to the unstable hardware circuit,which is difficult to be used in embedded devices and other engineering applications.SOPC technology based on FPGA has the characteristics of high integration and fast development.It can be used to realize memristor chaotic system in hardware,which is conducive to the practical engineering application and popularization of memristor chaotic system.This paper mainly studies chaotic systems based on memristor.The key contents are summarized as follows:(1)Based on the three-dimensional multi-wing chaotic system,a multi-wing memrisor hyperchaotic system with infinite equilibrium set is constructed.The new system exhibits complex dynamic behaviors such as multi-wing transformation and instantaneous hyperchaos with the change of parameters.An analog circuit is built on the Multisim platform to simulate the designed system.The simulation results are basically consistent with the numerical analysis,which verifies the correctness of the system.Aiming at the characteristics of system equations,a linear feedback controller is designed,which can stabilize chaotic signals in finite time and realize chaos control.(2)Based on the three dimensional Lorenz chaotic system,a four dimensional memristor chaotic system with two unstable saddle focal points and two saddle points is constructed.The new system can produce a coexisting biplane chaotic attractor with two symmetric initial conditions.With the change of parameters,the new system can show the multi-stable phenomena such as period and period,period and chaos coexist.When the memristor parameter changes,there is also a pair of co-existing rotating attractors.The simulation circuit of the system is carried out to verify the correctness of the system.Finally,a nonlinear feedback controller is designed,which can realize chaos synchronization in a short time.(3)On the FPGA platform,a SOPC system is designed,C language is used for software development,and the hardware implementation of memristor chaotic system is completed on the AC620 FPGA development board,which verifies the physical realizability and correctness of the two new systems.