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

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.