RETRACTED CHAPTER: Lempel–Ziv Model of Dynamical-Chaotic and Fibonacci-Quasiperiodic Systems

Here we show that how the LZ-complexity concept connects to the concepts such as Lyapunov exponent and K-entropy and has an application in the theory of dynamical systems regardless of its main origin in the information theory. Furthermore, selecting the Fibonacci sequence as a sample of evolutionary arrays, it is proved that these systems' LZ complexity represents its long-range order.