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20012026
most citedDefining Coherent Vortices Objectively from the Vorticity

336 citations · 3.5k across the 72 of their papers we have counts for

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Showing 2020Show all

5 papers · 1 filter

cs.CE2020★ 4 cited

Integral Equations & Model Reduction For Fast Computation of Nonlinear Periodic Response

Gergely Buza, George Haller, Shobhit Jain

We propose a reformulation for the integral equations approach of Jain, Breunung \& Haller [Nonlinear Dyn. 97, 313--341 (2019)] to steady-state response computation for periodicall…

math.DS2020★ 16 cited

Using Spectral Submanifolds for Optimal Mode Selection in Model Reduction

Gergely Buza, Shobhit Jain, George Haller

Model reduction of large nonlinear systems often involves the projection of the governing equations onto linear subspaces spanned by carefully-selected modes. The criteria to selec…

nlin.CD2020★ 8 cited

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…

math.DS2020★ 8 cited

Stability of Forced-Damped Response in Mechanical Systems from a Melnikov Analysis

Mattia Cenedese, George Haller

Frequency responses of multi-degree-of-freedom mechanical systems with weak forcing and damping can be studied as perturbations from their conservative limit. Specifically, recent…

physics.flu-dyn2020★ 26 cited

Objective barriers to the transport of dynamically active vector fields

George Haller, Stergios Katsanoulis, Markus Holzner +2

We derive a theory for material surfaces that maximally inhibit the diffusive transport of a dynamically active vector field, such as the linear momentum, the angular momentum or t…