Modified Lorentz and Chua Systems Largest Lyapunov Exponent and Statistical Characteristics Analysis

This paper presents the statistical characteristics of binary sequences obtained on the basis of modified Lorentz and Chua dynamical systems. The estimation of the largest Lyapunov exponent of these systems is performed. The auto- and cross-correlation functions of binary sequences formed on the basis of the studied systems are analyzed, the levels of their side lobes are estimated, and the FIPS-140 sequence quality tests are performed. The results of this work can be used to develop modern communication systems and for tasks of statistical modeling.