Abstract
We present a general, uniform chaos-geometric formalism to analysis, modelling and forecasting a non-linear chaotic dynamics of quantum systems (such as diatomic molecules in an electromagnetic infrared field, laser and quantum generators system etc.). The approach is based on using quantum-mechanical and kinetical models for quantum and laser systems combined with the advanced techniques such as a multi-fractal method, mutual information approach, correlation integral and false nearest neighbour algorithms, the Lyapunov exponent’s (LE) analysis, and surrogate data method, prediction models etc. The results of the numerical studying a chaotic dynamics of diatomic molecules (on example of the GeO molecule in an infrared field) and some laser systems are listed. There are presented data on the topological and dynamical invariants, in particular, the correlation, embedding, Kaplan-Yorke dimensions, LE, Kolmogorov’s entropy etc.
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