221 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- ETH ZurichCH39 papers
- Technical University of MunichDE4 papers
- Massachusetts Institute of TechnologyUS3 papers
- University of MiamiUS3 papers
- Institute of Environmental EngineeringPL2 papers
- Max Planck University of Twente Center for Complex Fluid DynamicsNL2 papers
- Swiss Federal Institute for Forest, Snow and Landscape ResearchCH2 papers
- University of TwenteNL2 papers
- Woods Hole Oceanographic InstitutionUS2 papers
- Brown UniversityUS1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- École Normale Supérieure de LyonFR1 paper
8 papers · 1 filter
Attracting Lagrangian Coherent Structures on Riemannian manifolds
Daniel Karrasch
It is a wide-spread convention to identify repelling Lagrangian Coherent Structures (LCSs) with ridges of the forward finite-time Lyapunov exponent (FTLE) field, and attracting LCS…
Shearless transport barriers in unsteady two-dimensional flows and maps
Mohammad Farazmand, Daniel Blazevski, George Haller
We develop a variational principle that extends the notion of a shearless transport barrier from steady to general unsteady two-dimensional flows and maps defined over a finite tim…
Coherent Lagrangian vortices: The black holes of turbulence
G. Haller, F. J. Beron-Vera
We introduce a simple variational principle for coherent material vortices in two-dimensional turbulence. Vortex boundaries are sought as closed stationary curves of the averaged L…
Localized Stable Manifolds for Whiskered Tori in Coupled Map Lattices with Decaying Interaction
Daniel Blazevski, Rafael de la Llave
In this paper we consider lattice systems coupled by local interactions. We prove invariant manifold theorems for whiskered tori (we recall that whiskered tori are quasi-periodic s…
Hyperbolic and Elliptic Transport Barriers in Three-Dimensional Unsteady Flows
Daniel Blazevski, George Haller
We develop a general theory of transport barriers for three-dimensional unsteady flows with arbitrary time-dependence. The barriers are obtained as two-dimensional Lagrangian Coher…
Do Finite-Size Lyapunov Exponents Detect Coherent Structures?
Daniel Karrasch, George Haller
Ridges of the Finite-Size Lyapunov Exponent (FSLE) field have been used as indicators of hyperbolic Lagrangian Coherent Structures (LCSs). A rigorous mathematical link between the…
Detecting invariant manifolds, attractors, and generalized KAM tori in aperiodically forced mechanical systems
Alireza Hadjighasem, Mohammad Farazmand, George Haller
We show how the recently developed theory of geodesic transport barriers for fluid flows can be used to uncover key invariant manifolds in externally forced, one-degree-of-freedom…
Attracting and repelling Lagrangian coherent structures from a single computation
Mohammad Farazmand, George Haller
Hyperbolic Lagrangian Coherent Structures (LCSs) are locally most repelling or most attracting material surfaces in a finite-time dynamical system. To identify both types of hyperb…