  The Late Pleistocene Antarctic temperature variation curve is decomposed into
two parts: cyclic and stochastic. These two parts represent different but
tightly interconnected processes and also represent two different types of
self-organization of the Earth climate system. The self-organization in the
cyclic component is the non-linear auto-oscillation reaction of the Earth
climate system, as a whole, to the input of solar radiation. The
self-organization in the stochastic component is a nonlinear critical process,
taking energy from, and fluctuating around the cyclic component of the
temperature variations. The system of ODEs is written to model the cyclic part
of the temperature variation, and the multifractal spectrum of the stochastic
part of the temperature variation is calculated. The Earth climate can be
characterized as an open, complex, self-organized dynamical system with
nonlinear reaction to the input of solar radiation.
