An Improved Two-dimensional Sine Cosine Map and Its Performance Analysis

Abstract

Aiming at the problems of small parameter interval, simple chaotic behavior and poor initial value sensitivity of traditional one-dimensional chaotic map, a one-dimensional fractional chaotic system is improved by using the combination of Sine and Cosine map. On this basis, a Sine Cosine two-dimensional chaotic map is further proposed. Through the experimental simulation of the Lyapunov exponent, bifurcation diagram, initial value sensitivity and correlation of the chaotic system, the results show that the proposed two-dimensional chaotic map has larger chaotic parameter interval, better chaotic behavior and initial value sensitivity.