A method of improving the properties of digital chaotic system

To weaken the degradation phenomenon of digital chaotic systems with finite computing precision, the paper brings forward a varying parameter compensation method (VPCM) on the basis of the Lyapunov number. According to the differential mean-value theorem, the proposed method employs the varying parameter and Lyapunov number to improve the properties of digital chaotic systems with finite computing precision. Results of the experiments demonstrate that: the method prolongs the cycle length greatly, the digital chaotic systems achieve ergodicity in finite precision, and the distribution of digital chaotic sequences (DCSs) approximates that of real chaotic sequences (RCSs). This method can be applied to the fields of chaotic cryptography and broad spectrum communications.