336 citations · 3.5k across the 72 of their papers we have counts for
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Universal Upper Estimate for Prediction Errors under Moderate Model Uncertainty
Bálint Kaszás, George Haller
We derive universal upper estimates for model-prediction error under moderate but otherwise unknown model uncertainty. Our estimates give upper bounds on the leading order trajecto…
A Spectral Clustering Approach to Lagrangian Vortex Detection
Alireza Hadjighasem, Daniel Karrasch, Hiroshi Teramoto +1
One of the ubiquitous features of real-life turbulent flows is the existence and persistence of coherent vortices. Here we show that such coherent vortices can be extracted as clus…
Polar rotation angle identifies elliptic islands in unsteady dynamical systems
Mohammad Farazmand, George Haller
We propose rotation inferred from the polar decomposition of the flow gradient as a diagnostic for elliptic (or vortex-type) invariant regions in non-autonomous dynamical systems.…
Geodesic Transport Barriers in Jupiter's Atmosphere: A Video-Based Analysis
Alireza Hadjighasem, George Haller
Jupiter's zonal jets and Great Red Spot are well known from still images. Yet the planet's atmosphere is highly unsteady, which suggests that the actual material transport barriers…
Lagrangian Coherent Structures from Video Streams of Jupiter
Alireza Hadjighasem, George Haller
Jupiter's fast rotation - one rotation over 10 hours - creates strong jet streams, smearing its clouds into linear bands of dark and light zonal belts that circle the planet on lin…
LCS Tool : A Computational Platform for Lagrangian Coherent Structures
K. Onu, F. Huhn, G. Haller
We give an algorithmic introduction to Lagrangian coherent structures (LCSs) using a newly developed computational engine, LCS Tool. LCSs are most repelling, attracting and shearin…
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…
Precision Measurements of Stretching and Compression in Fluid Mixing
G. Voth, G. Haller, J. P. Gollub
The mixing of an impurity into a flowing fluid is an important process in many areas of science, including geophysical processes, chemical reactors, and microfluidic devices. In so…