Аннотация:We show that the complex behavior of the tropical cyclone approaching the land
can be explained in the frame of two dimensional barotropic model obtained by
averaging over the height of the primitive system of equations of the atmosphere
dynamics. In particular, this behavior includes a significant track deflection, sudden
decay and intensification. In contrast to other models, where first the additional
physically reasonable simplifications are made, we deal with special classes of solutions
to the full system. This allows us not to lose the symmetries of the model and
to catch the complicated features of the full model. Our theoretical considerations
are in a good compliance with the experimental data. In particular, our method
is able to explain the phenomenon of attraction of the cyclone to the land and
interaction of the cyclone with an island