Hamiltonian distributed chaos in Arctic and Antarctic Oscillations

The Arctic and Antarctic Oscillations (AO and AAO indices) are studied using the Hamiltonian distributed chaos approach. Using the daily data (AO since 1950y and AAO since 1979y) it is shown that the power spectra of the both AO and AAO indices exhibit the stretched exponential behaviour $E(f) \propto \exp-(f/f_0)^{3/4}$ corresponding to the Hamiltonian distributed chaos. The characteristic time scale for the both indices $T_0=1\mathrm{/}{f}_0\simeq 41$ day corresponds to the well known from the numerous extratropic observations near 40 day period.