A variational theory of hyperbolic Lagrangian Coherent Structures

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Erratum and addendum to ''A variational theory of hyperbolic Lagrangian coherent structures'' (Physica D 240 (2011) 574-598) (2012, methodology): “Normally repelling material lines are defined in [1] as compact material lines on which ρ0 t0 (x0,n0) > 1 holds, and the normal repulsion rate ρ0 t0 (x0,n0) dominates any growth of tangent vectors in Tx0M(t0) under the linearized flow map ∇F t0+T t0 (x0).”
An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems (2012, background): “In practice these objects are often numerically estimated by a finite-time Lyapunov exponent (FTLE) field, with additional requirements [9].”
Frontiers of chaotic advection (2014, methodology): “36 (a) Elliptic and forwar - and backward- hyperbolic LCS in the model of a Bickley jet.”
Lagrangian Coherent Structures (2015, background): “F or p er so na l u se o nl y. Mathematical criteria relating FTLE ridges to repelling LCS were obtained by Haller (2002, 2011), Farazmand & Haller (2012b), Tang et al. (2011b), and Karrasch (2012), with applications by Mathur et al. (2007), Green et al. (2007, 2010, 2011), and Tang et al. (2010b,…”