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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, ...
Topological chaos, braiding and bifurcation of almost-cyclic sets
(American Institute of Physics, 2012-12-01)
In certain two-dimensional time-dependent flows, the braiding of periodic orbits provides a way to analyze chaos in the system through application of the Thurston-Nielsen classification theorem (TNCT). We expand upon earlier ...