Hamiltonian distributed chaos in Arctic and Antarctic Oscillations

TL;DR

This paper analyzes Arctic and Antarctic Oscillations using Hamiltonian distributed chaos, revealing that their power spectra follow a stretched exponential pattern with a characteristic timescale of about 41 days, aligning with known extratropic oscillations.

Contribution

It applies the Hamiltonian distributed chaos framework to AO and AAO indices, demonstrating their spectral behavior and identifying a common timescale.

Findings

Power spectra follow a stretched exponential form.

Characteristic timescale is approximately 41 days.

Spectral behavior aligns with Hamiltonian distributed chaos theory.

Abstract

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 $T_0=1/f_0\simeq 41$ day corresponds to the well known from the numerous extratropic observations near 40 day period.