  Some issues which are relevant for the recent state in climate modeling have
been considered. A detailed overview of literature related to this subject is
given. The concept in modeling of climate, as a complex system, seen through
Godel's Theorem and Rosen's definition of complexity and predictability is
discussed. It is pointed out to occurrence of chaos in computing the
environmental interface temperature from the energy balance equation given in a
difference form. A coupled system of equations, often used in climate models is
analyzed. It is shown that the Lyapunov exponent mostly has positive values
allowing presence of chaos in this systems. The horizontal energy exchange
between environmental interfaces, which is described by the dynamics of driven
coupled oscillators, is analyzed. Their behavior and synchronization, when a
perturbation is introduced in the system, as a function of the coupling
parameters, the logistic parameter and the parameter of exchange, was studied
calculating the Lyapunov exponent under simulations with the closed contour of
N=100 environmental interfaces. Finally, we have explored possible differences
in complexities of two global and two regional climate models using their
output time series by applying the algorithm for calculating the Kolmogorov
complexity.
