… of hyperbolic Lagrangian Coherent Structures using … system, such as variational equations
or explicit derivatives. … accuracy of the Lagrangian Coherent Structures identified compared to …

… We consider Lagrangian coherent structures (LCSs) as the boundaries of material subsets
whose advective evolution is metastable under weak diffusion. For their detection, we first …

… exponent, hyperbolic variational LCSs, Lagrangian averaged vorticity deviation, Lagrangian
… operator, fuzzy c-means clustering and coherent structure colouring. The investigations are …

… the framework of lagrangian coherent structures to analyse the … in order to investigate the
lagrangian regimes that affect the motion… In addition to the hyperbolic structures detected by the …

… Lagrangian coherent structures (LCSs) are extracted using geodesic theory, including
hyperbolic LCSs and elliptic LCSs. We use complementary qualitative and quantitative LCS …

… We detect the hyperbolic Lagrangian coherent structures in supergranular turbulence by
computing the backward and forward finite-time Lyapunov exponents for an interval of \(\approx …

… hyperbolic LCSs described by finite time stable and unstable manifolds based on variational
theory… LCSs based on geodesic theory and used it to define hyperbolic LCSs, elliptic LCSs, …

… In the field of fluid mechanics, some scholars regarded the Lagrangian coherent structures
(LCSs) as the invariant manifolds of the time-dependent system to study the dynamics in the …

… arbitrarily high dimensions as Lagrangian coherent structures (LCSs). … hyperbolic repelling
Lagrangian coherent structure, and hence a direct relation between LCS and exact coherent …

… Abstract Based on the so-called mixing-based partition, we propose an efficient Eulerian
algorithm to identify the hyperbolic Lagrangian coherent structure (LCS) of any given two-…