A widely amplitude-adjustable chaotic oscillator based on a physical model of HP memristor

Abstract

We design a novel chaotic oscillator based on a new boundary-restricted HP memristor model. This system is mathematically simple, while dynamics rich. It is found that the system keeps chaotic within a wide range of the parameter, and the amplitude of chaotic sequences can be modified into infinite or infinitesimal by changing the parameter value of the memristor model linearly. Moreover, initial values of the width of doped region do not have influence on system’s stability. The two features give the memristor advantages in generating a large key space and adjustable chaotic signals continuously. Circuit simulation of the system which shows good agreement with numerical results is also given.