NEW APPROACH AND MICROSYSTEM TECHNOLOGY OF ADVANCED NON-LINEAR ANALYSIS AND MODELLING CHAOTIC ENVIRONMENTAL RADIOACTIVITY DYNAMICS
Journal Title: Сенсорна електроніка і мікросистемні технології - Year 2017, Vol 14, Issue 3
Abstract
We firstly present an advanced mathematical formalism and new microsystem technology to analysis, modeling and prediction of the environmental radioactivity dynamics at whole, and chaotic time series of the radionuclide dynamics in particular. It inlcuded a qualitative analysis of dynamical problem of the typical environmental radioactivity dynamics, reconstruction of the phase space with using methods of correlation dimension algorithm and false nearest neighbor points, determination of the dynamic invariants of a chaotic system, including the global Lyapunov exponents, the Kaplan-York dimension dl, Kolmogorov entropy etc. The forecasting block contains new (in a theory of environmental radioactivity dynamics and environmental protection) methods and algorithms of nonlinear prediction such as methods of predicted trajectories and neural networks modelling. As an illustration, the first data of analysis of the time series for the radon pore activity are presented and indicated on availability of the low- (and indeed middle) dimensional chaos.
Authors and Affiliations
A. V. Glushkov, Yu. Ya. Bunyakova, V. V. Buyadzhi, Yu. V. Dubrovskaya, A. A. Kuznetsova, O. Yu. Khetselius
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