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Three types of streamline topology in a Karman vortex street flow are shownunder the variation of spatial parameters. For the motion of dilute particlesin the K\'arm\'an vortex street flow, there exist a route of bifurcation to achaotic orbit and more attractors in a bifurcation diagram for the proportionof particle density to fluid density. Along with the increase of spatialparameters in the flow filed, the bifurcation process is suspended, as well asmore and more attractors emerge. In the motion of dilute particles, a drag termand gravity term dominate and result in the bifurcation phenomenon.

STREAMLINE TOPOLOGY AND DILUTE PARTICLE DYNAMICS IN A KÁRMÁN VORTEX STREET FLOW