221 citations · 1.5k across the 51 of their papers we have counts for
4 papers · 1 filter
Linear response for the dynamic Laplacian and finite-time coherent sets
Fadi Antown, Gary Froyland, Oliver Junge
Finite-time coherent sets represent minimally mixing objects in general nonlinear dynamics, and are spatially mobile features that are the most predictable in the medium term. When…
Higher-Order Finite Element Approximation of the Dynamic Laplacian
Nathanael Schilling, Gary Froyland, Oliver Junge
The dynamic Laplace operator arises from extending problems of isoperimetry from fixed manifolds to manifolds evolved by general nonlinear dynamics. Eigenfunctions of this operator…
Fourier approximation of the statistical properties of Anosov maps on tori
Harry Crimmins, Gary Froyland
We study the stability of statistical properties of Anosov maps on tori by examining the stability of the spectrum of an analytically twisted Perron-Frobenius operator on the aniso…
Computation and optimal perturbation of finite-time coherent sets for aperiodic flows without trajectory integration
Gary Froyland, Péter Koltai, Martin Stahn
Understanding the macroscopic behavior of dynamical systems is an important tool to unravel transport mechanisms in complex flows. A decomposition of the state space into coherent…