Abstract
Work is devoted to the development of the theoretical foundations of the universal complex chaos-geometric and quantum-dynamic approach that consistently includes a number of new quantum models and a number of new or improved methods of analysis (correlation integral, fractal analysis, algorithms, average mutual information, false nearest neighbors, Lyapunov exponents, surrogate data, non-linear prediction, spectral methods, etc.) to solve problems quantitatively complete modeling and analysis of chaotic dynamics of nonlinear processes in atomic and molecular systems in a uniform and alternating electromagnetic field and quantum generator, laser systems and devices (including fibers, semiconductor lasers with feedback et al.). For considered class of systems and devices there are theoretically studied scenarios of generating chaos, obtained complete quantitative data on the chaos characteristics and different modes of operation.
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