  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.
