Research on Synchronization of Fractal Behaviors in 2-D Logistic Map

Abstract

In this paper, the fractal behaviors in 2-D Logistic map are discussed. First, the definition and some properties of fractal set in 2-D Logistic map are given. Moreover, several synchronous definitions between different 2-D Logistic maps are introduced in this paper, such as complete synchronization, coupled synchronization, and adaptive synchronization. The synchronization of the fractal set between different Logistic maps is accomplished by synchronizing their iterative tracks. The simulations illustrate the effectiveness and correctness of these methods.

Keywords

• 2-D Logistic map
• fractal
• synchronization