In this article we explore the utility of dynamical systems  tools for visualizing transport in oceanic flows described by data sets measured from satellites. 

In particular we have  found the  geometrical skeleton of the transport processes in the Kuroshio region. To this end we have computed the special hyperbolic trajectories, and identified them as distinguished hyperbolic trajectories, that act as organizing centres of the flow.  We have computed their  stable and unstable manifolds, and they reveal that the turnstile mechanism is at work during several {spring}  months in the year 2003 across the Kuroshio current. We have found that near the hyperbolic 

trajectories takes place a filamentous  transport front-cross the current that mixes waters from both sides.