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Аннотация This work presents the results of computational experiment at investigation of bifurcational effects and multiplicity of forms of axis-symmetric flow of incompressible fluid in gap between short cylinder internal of which is rotating. Methods of obtaining of decisions corresponding regular and irregular directions of meridional circulation in vortical cells are described. For some values of ratio of cylinder radiuses the maps of regimes at plane "non-dimentional height — Reynolds number" are plotting. The critical value of radial ratio is finding, below which existence of irregular modes are impossible