  The energy-balance model of global climate, which is taking into account a
nontrivial role of solar and galactic protons, is presented. The model is
described by the equation of fold catastrophe relative to increment of
temperature, where the variation of a solar insolation and cosmic rays are
control parameters. It is shown that the bifurcation equation of the model
describes one of two stable states of the climate system. The solution of this
equation exhibits the property of the determined bistable behavior of climate
at the global level and the possibility of appearance of the determined chaos
of "the weathers" at the local levels. The results of the comparative analysis
of the computer simulation of the time-dependent solution of energy-balance
model of global climate and the oxygen isotope records for deep-sea core
V28-238 over the past 730 kyr are presented, and the evolution of climate on
100 kyr forward is also predicted. It is shown that the proposed model
successfully explains the nicety of the paleoclimatic records. The model is
clear of all known difficulties of the Milankovich theory for the analysis and
the interpretation of physical mechanism, by which the climate system responds
to orbital forcing.
