  Universal role of the nonlinear one-third subharmonic resonance mechanism in
generation of the strong fluctuations in such complex natural dynamical systems
as global climate and global solar activity is discussed using wavelet
regression detrended data. Role of the oceanic Rossby waves in the year-scale
global temperature fluctuations and the nonlinear resonance contribution to the
El Nino phenomenon have been discussed in detail. The large fluctuations of the
reconstructed temperature on the millennial time-scales (Antarctic ice cores
data for the past 400,000 years) are also shown to be dominated by the
one-third subharmonic resonance, presumably related to Earth precession effect
on the energy that the intertropical regions receive from the Sun. Effects of
Galactic turbulence on the temperature fluctuations are discussed in this
content. It is also shown that the one-third subharmonic resonance can be
considered as a background for the 11-years solar cycle, and again the global
(solar) rotation and chaotic propagating waves play significant role in this
phenomenon. Finally, a multidecadal chaotic coherence between the detrended
solar activity and global temperature has been briefly discussed.
