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Detecting Lagrangian coherent structures from sparse and noisy trajectory data

Detecting Lagrangian coherent structures from sparse and noisy trajectory data

Many complex flows such as those arising from the collective motion of ocean plastics in geophysics or motile cells in biology are characterized by sparse and noisy trajectory datasets. We introduce techniques for identifying Lagrangian coherent structures (LCSs) of hyperbolic and elliptic nature in such datasets. Hyperbolic LCSs, which represent …