Hamiltonian distributed chaos in the Asian-Australian Monsoons and in the ENSO

TL;DR

This paper analyzes the chaotic dynamics of Asian-Australian Monsoons and ENSO using Hamiltonian distributed chaos theory, revealing stretched exponential spectral behavior and specific parameter values across different indices.

Contribution

It demonstrates that monsoon and ENSO indices exhibit Hamiltonian distributed chaos with characteristic spectral parameters, providing new insights into their intraseasonal variability.

Findings

Monsoon indices follow stretched exponential spectra with β=3/4 and β=1/2.

ENSO indices exhibit similar spectral behavior with β=1/2.

The analysis links chaotic dynamics to the physical behavior of monsoon and ENSO systems.

Abstract

Two subsystems of the Asian Monsoon: the Indian Summer Monsoon and the Western North Pacific Monsoon, have been analysed using their daily indices ISMI and WNPMI. It is shown that on the intraseasonal time scales the ISMI and WNPMI are dominated by the Hamiltonian distributed chaos with the stretched exponential spectrum: $E(f) \propto \exp-(f/f_0)^{\beta}$ and analytical values of the parameter $\beta =3/4$ and $\beta =1/2$ correspondingly. The relevant daily indices Ni\~no 3 and Ni\~no 4 (with $\beta =1/2$) of the El Ni\~no-Southern Oscillation (ENSO) and the Australian Monsoon (AUSM index with $\beta = 1/2$) have been also discussed in this context.