Browsing Scholarly Works, Department of Biomedical Engineering and Mechanics by Subject "Lagrangian coherent structures"
Now showing items 1-2 of 2
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The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds
(American Institute of Physics, 2010-03-01)We generalize the concepts of finite-time Lyapunov exponent (FTLE) and Lagrangian coherent structures to arbitrary Riemannian manifolds. The methods are illustrated for convection cells on cylinders and Moumlbius strips, ... -
Detecting dynamical boundaries from kinematic data in biomechanics
(American Institute of Physics, 2010-03-01)Ridges in the state space distribution of finite-time Lyapunov exponents can be used to locate dynamical boundaries. We describe a method for obtaining dynamical boundaries using only trajectories reconstructed from time ...