A CHAOS-DYNAMICAL APPROACH TO ANALYSIS, PROCESSING AND FORECASTING MEASUREMENTS DATA OF THE CHAOTIC QUANTUM AND LASER SYSTEMS AND SENSORS
Journal Title: Сенсорна електроніка і мікросистемні технології - Year 2018, Vol 15, Issue 4
Abstract
The paper is devoted to problem of development of new mathematical and computational tools for analysis and processing the measurements data of chaotic quantum and laser systems and quantum devices (sensors). The chaos-geometric approach proposed includes a combined group of non-linear analysis and chaos theory methods such as the autocorrelation function method, multi-fractal formalism, wavelet analysis, mutual information approach, correlation integral analysis, false nearest neighbour algorithm, Lyapunov’s exponents and Kolmogorov entropy analysis, surrogate data method, memory functions, neural networks algorithms. There are presented the most effective schemes for computing the Lyapunov’s exponents spectrum, Kaplan-Yorke dimension, Kolmogorov entropy etc.
Authors and Affiliations
A. V. Glushkov, V. V. Buyadzhi, V. B. Ternovsky, A. A. Kuznetsova
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