Tools to detect structures in dynamical systems using Jet Transport

Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows

Shawn C. Shadden, François Lekien, Jerrold E. Marsden · Physica D Nonlinear Phenomena · 2005 · 1.3K citations

Deterministic Dynamical System, Two-dimensional Aperiodic Flows, Finite-time Lyapunov Exponents +5

Theory of Orbits: The Restricted Problem of Three Bodies

V. Szebehely, W. H. Jefferys · American Journal of Physics · 1968 · 1.2K citations

Orbit Determination, Geometry, Celestial Mechanic +2

Lagrangian coherent structures and mixing in two-dimensional turbulence

George Haller, G. Yuan · Physica D Nonlinear Phenomena · 2000 · 862 citations

Engineering, Physics, Fluid Mechanics +5

A variational theory of hyperbolic Lagrangian Coherent Structures

George Haller · Physica D Nonlinear Phenomena · 2010 · 401 citations

Variational Theory, Global Analysis, Calculus Of Variation +1

A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods

Àngel Jorba, Maorong Zou · Experimental Mathematics · 2005 · 263 citations

Numerical Analysis, Engineering, Numerical Integration +17