Fig. 4: Plot of Lagrangian betweenness for the double-gyre flow with a normalized logarithmic color map.
From: Lagrangian betweenness as a measure of bottlenecks in dynamical systems with oceanographic examples
Here, we performed a fine numerical integration (with N = 300) to converge to the analytical expression for Lagrangian betweenness of Eq. (5). Higher values of Lagrangian betweenness are found at the boundaries and across the narrow semicircular line splitting the domain vertically. The region spanned by the moving line separating both gyres is clearly highlighted by intermediate values of betweenness.
