Novel piecewise Logistic chaotic map with two levels and Its performance analysis

Traditional Logistic chaotic map as well as its modified map commonly have the simple way of initial iteration,the narrow parameter interval of full map or the attractors.To solve these problems,a new piecewise Logistic chaotic map with two levels was proposed.Analysis and simulation from its perspective show that this chaotic map possesses broader parameter interval of full map and stable Lyapunov exponents,and its sequence could be better used in information security and spread spectrum communication fields for the good correlation and initial sensitivity.