ON THE RELATION BETWEEN INDICATORS OF CHAOTIC DYNAMICS AND STATISTICAL CHARACTERISTICS OF PSEUDO-RANDOM SIGNALS BASED ON NONLINEAR SYSTEMS OF LORENTZ AND CHUA
Introduction. Currently, systems with dynamical chaos are used to describe nonlinear processes in various fields of physics, biology, engineering, and radioelectronics. Generation of pseudorandom sequences based on the chaotic system is topical for state-of-the-art data transfer systems. The aim of the research is to analyze the relation between the high order Lyapunov exponent and the statistical characteristics of binary pseudo-random signals formed on the basis of dynamical Lorentz and Chua systems under conditions of quasi-resonant effects on the time grid parameters. Findings of the mathematical modeling. The statistical characteristics of pseudo-random signals which are generated on the basis of dynamical Lorentz and Chua systems with quasi-resonant effect were analyzed. The high order Lyapunov exponent for different variations of the modulation depth was estimated. The probabilities of passing the FIPS 140-2 tests were calculated. Conclusions. As a result of the work, there was established a qualitative relation between the high order Lyapunov exponent of the dynamical systems of Lorenz and Chua and the statistical characteristics of binary pseudo-random signals formed on their basis under conditions of quasi-resonant influences on the time grid parameters.