PERIODIC POINTS FOR 2-DIMENSIONAL STOKES-FLOW IN A RECTANGULAR CAVITY

The locations of periodic points for Stokes flow in a rectangular cavi ty is studied. Discontinuous and sinusoidal corotating periodic motion s of the top and bottom walls are considered. An effective algorithm f or one-dimensional search based on the use of symmetry conditions of t he flow is proposed for both cases. It permits one to find and classif y all periodic points of low-order periodicity. Specific features of t he bifurcation diagrams are noticed. Two typical examples of Row with the dye blob situated around an elliptic or a hyperbolic periodic poin t show a striking difference in mixing properties.