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Abstract. In this paper, we employ a non-decimated wavelet decomposition to analyse long-term variations of the teleconnection pattern monthly indices (the North Atlantic Oscillation and the Southern Oscillation) and the relationship of these variations with eddy kinetic energy contents (K E ) in the atmosphere of mid-latitudes and tropics. Major advantage of using this tool is to isolate short-and long-term components of fluctuations. Such analysis allows revealing basic periodic behaviours for the North Atlantic Oscillations (NAO) indices such as the 4-8-year and the natural change of dominant phase. The main results can be posed as follows. First, if the phases of North Atlantic and Southern Oscillations vary synchronously with the 4-8-year period then the relationship between the variations of the NAO indices and the K E contents is the most appreciable. Second, if the NAO phase tends to abrupt changes then the impact of these variations on the eddy kinetic energy contents in both midlatitudes and tropics is more significant than for the durational dominance of certain phase.

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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