NEW NONLINEAR ANALYSIS, CHAOS THEORY AND INFORMATION TECHNOLOGY APPROACH TO STUDYING DYNAMICS OF CHAIN OF QUANTUM AUTOGENERATORS
Анотація
Chaos-geometric approach that consistently includes a number of new or improved known methods of analysis (the correlation integral, the fractal analysis, algorithms of the average mutual information, and false nearest neighbors, the Lyapunov exponents analysis, the Kolmogorov entropy, the method of surrogate data, a set of the spectral methods, a neural network algorithms, etc. .) is used to solve the problem of quantitative modeling and analysis of chaotic dynamics of a chain of two quantum autogenerators. There are theoretically studied a chaos scenario generation and obtained quantitative data on the dynamic and topological invariants of the system in the chaotic regime.
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