In this work we investigate connection between mid-latitude atmosphere and principal modes of global sea surface temperature (SST). For this purpose, we apply the linear dynamical mode decomposition to the monthly SST anomalies: the obtained modes describe the Pacific Decadal Oscillation and the El-Niño Southern Oscillation (ENSO). We analyze the regression of atmospheric characteristics on the time-shifted modes and detect bidirectional connections between ENSO and the mid-latitude atmosphere up to one-year delay. The work was carried out within the framework of the Program for the Development of the Regional Scientifc and Educational Mathematical Center "Mathematics of Future Technologies", project #075-02-2020-1483/1.
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