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Attracting Lagrangian coherent structures on Riemannian manifolds

Attracting Lagrangian coherent structures on Riemannian manifolds

It is a wide-spread convention to identify repelling Lagrangian Coherent Structures (LCSs) with ridges of the forward finite-time Lyapunov exponent (FTLE) field and to identify attracting LCSs with ridges of the backward FTLE. However, we show that, in two-dimensional incompressible flows, also attracting LCSs appear as ridges of the forward …