The Bifurcation Analysis of Digital Chaos Circuit and Its Application

Abstract

With the large scale application of integrated circuit in the chaotic encryption, the design of cryptogram program based on the chaotic system becomes a new trend of cryptography. The digital degradation after the chaotic digitization is a key issue to be resolved, while current study pays more attention to digital chaotic period behavior, but the other characteristics of digital chaotic also plays a crucial role. This paper conducts research on the instability of the digital chaotic orbit and the bifurcation behavior, designs the hardware circuit which is used to realize the bifurcation of digital chaotic based on FPGA, analyzes the similarity between dynamics of chaotic systems and digital chaotic system with test comparative method, confirms the fact that digital chaotic indeed have the behavior of bifurcation, and provides the corresponding value of μ. According to the phenomenon of digital chaotic bifurcation, we put forward the point of the view that chaotic systems have complex dynamic behavior, which is the basis of for the application of chaotic secure system.