Nonresonant case of intersection of bifurcation curves in the Couette-Taylor problem

The nonresonant case (Res 0) of the motion of a viscous incompressible fluid between rotating coaxial cylinders in a small neighborhood of a bifurcation point of codimension 2 is considered, where the amplitude system has only essential resonant terms. Existence and stability conditions are obtained for its solutions which correspond to various periodic and quasiperiodic solutions of the Navier-Stokes equations. In a small neighborhood of some points of the resonance Res 0, the regions of existence and stability of these solutions are determined.