Lagrangian coherent structures in n-dimensional systems
By Francois Lekien, Shawn C. Shadden, Jerrold E. Marsden. 2007
207 citations recorded by the source corpus.
Subfields: Computer Networks and Communications, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/01b5bdbe274545374a2362990b131319d8c3717e
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computer Networks and Communications
In Mathematical Physics
- Kathrin Padberg
- Gary Froyland
- G. Haller
- Steven L. Brunton
- J. Nathan Kutz
- Joshua L. Proctor
- Bingni W. Brunton
- Anthony Quas
In Statistical and Nonlinear Physics
- Gary Froyland
- Kathrin Padberg
- G. Haller
- Anthony Quas
- Steven L. Brunton
- Jerrold E. Marsden
- Francois Lekien
- Karen Mulleners
Citations in the corpus
- A variational theory of hyperbolic Lagrangian Coherent Structures (2010, background): “To quantify the degree of non-invariance of FTLE ridges, [4,5] present an elegant expression for the leading-order material flux through FTLE ridges.”
- Almost-invariant sets and invariant manifolds — Connecting probabilistic and geometric descriptions of coherent structures in flows (2009, background): “Nevertheless, so-called Lagrangian coherent structures (LCS) have been defined [7,8,11], using the variational view described above.”
- Lagrangian Coherent Structures (2015, background): “Secondderivative FTLE ridges do not exist in generic fluid flows (Norgard & Bremer 2012, Schindler et al. 2012), and the flux formula of Shadden et al. (2005, 2007) derived for such ridges is generally invalid (Haller 2011).”