Now showing items 1-2 of 2
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 ...
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, ...