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It is carried out the micros computer data processing technology for sensing the chaotic behavior in the global climate system of the Earth and the nonlinear interaction between teleconnection patterns, based on the using technical devices observation data and the joint wavelet analysis PC programs complex GeoMath.

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New energy, angle momentum and entropy balance approach to modelling climate and macroturbulent atmospheric dynamics, heat and mass transfer at macroscale. I. General Formalism We present elements of a new non-stationary balance approach to modelling global mechanisms of climate and macro turbulent atmospheric low-frequency processes, including processes of heat-mass transfer at spatial and temporal macro scales, teleconnection effects etc. The main forming factor is a triplet of interacting solitons: "the planetary soliton of Hadley cells-the entire complex of atmospheric fronts-the Rossby soliton wave packet". The approach is based on the using balance relationships for entropy, energy and angular momentum, spectral theory of atmospheric macroturbulence, atmospheric moisture flow in further connection with the continuity of atmospheric circulation forms (teleconnection, genesis of fronts). Particular application is studying a spatial-temporal picture of the long-term atmospheric pollutants (including distribution of radionuclides after accidents at the nuclear power plant like Fukushima etc) in the atmosphere with accounting for the macro turbulent, circulation low-frequency processes.

New generalized approach, including an improved theory of atmospheric circulation in combination with the hydrodynamic model (with correct account of turbulence in atmosphere of the urban area) and the Arakawa-Schubert method of calculation of cloud convection and theory of complex geophysical field is applied to the simulation of heat and air transfer in atmosphere of industrial region. The modelling ventilation data (mesocirculation) parameters over territory of Odessa, as well as the area of the Fukushima power plant after 2011 accident are presented.

We reviewed an effective consistent ab initio approach to relativistic calculation of the spectra for multi-electron heavy and superheavy ions with an account of relativistic, correlation, nuclear, radiative effects is presented. The method is based on the relativistic gauge-invariant (approximation to QED) perturbation theory (PT) and generalized effective field nuclear model with using the optimized one-quasiparticle representation firstly in theory of the hyperfine structure for relativistic atom. The wave function zeroth basis is found from the Dirac equation with potential, which includes the core ab initio potential, the electric and polarization potentials of a nucleus. The correlation corrections of the high orders are taken into account within the Green functions method (with the use of the Feynman diagram's technique). There have taken into account all correlation corrections of the second order and dominated classes of the higher orders diagrams (electrons screening, particle-hole interaction, mass operator iterations). The magnetic inter-electron interaction is accounted in the lowest on α parameter (α is the fine structure constant), approximation, the self-energy part of the Lamb shift is taken effectively into consideration within the Ivanov-Ivanova non-perturbative procedure, the Lamb shift polarization part -in the generalized Uehling-Serber approximation with accounting for the Källen-Sabry α 2 (αZ) and Wichmann-Kroll α(αZ) n corrections.

The work is devoted to the development of the theoretical foundations of new universal complex chaos-dynamical approach to analysis and prediction of the atmospheric radon 222 Rn concentration changing from beta particles activity data of radon monitors (with pair of the Geiger-Müller counters). The approach presented consistently includes a number of new or improved methods of analysis (correlation integral, fractal analysis, algorithms of average mutual information, false nearest neighbors, Lyapunov exponents, surrogate data, non-linear prediction schemes, spectral methods, etc.) to solve problems quantitatively complete modeling and analysis of temporal evolution of the atmospheric radon 222 Rn concentration. There are firstly received data on topological and dynamical invariants for the time series of the 222 Rn concentration, discovered a deterministic chaos phenomenon using detailed data of measurements of the radon concentrations at SMEAR II station of the Finnish Meteorological Institute.

SENSING AIR POLLUTION FIELD STRUCTURE IN THE INDUSTRIAL CITY'S ATMOSPHERE: STOCHASTICITY AND EFFECTS OF CHAOSA. V. Glushkov, Yu. Ya. Bunyakova, V. N. Khokhlov, G. P. Prepelitsa and I. A. TsenenkoA new scheme for sensing temporal and spatial structure of the air pollution fields in the industrial city's atmosphere is considered and applied to an analysis of the Odessa atmosphere aerosol component data. Effects of stochasticity and chaotic features in the dusty air pollution field structure are discovered on the basis of the correlation dimension approach to empirical data.