336 citations · 3.5k across the 72 of their papers we have counts for
8 papers · 1 filter
Explicit Backbone Curves from Spectral Submanifolds of Forced-Damped Nonlinear Mechanical Systems
Thomas Breunung, George Haller
Spectral submanifolds (SSMs) have recently been shown to provide exact and unique reduced-order models for nonlinear unforced mechanical vibrations. Here we extend these results to…
Automated Computation of Autonomous Spectral Submanifolds for Nonlinear Modal Analysis
Sten Ponsioen, Tiemo Pedergnana, George Haller
We discuss an automated computational methodology for computing two-dimensional spectral submanifolds (SSMs) in autonomous nonlinear mechanical systems of arbitrary degrees of free…
Transport by Lagrangian Vortices in the Eastern Pacific
Ryan Abernathey, George Haller
Rotationally coherent Lagrangian vortices (RCLVs) are identified from satellite-derived surface geostrophic velocities in the Eastern Pacific (180-130 W) using the…
Exact Model Reduction for Damped-Forced Nonlinear Beams: An Infinite-Dimensional Analysis
Florian Kogelbauer, George Haller
We use invariant manifold results on Banach spaces to conclude the existence of spectral submanifolds (SSMs) in a class of nonlinear, externally forced beam oscillations. SSMs are…
Reduced-order Description of Transient Instabilities and Computation of Finite-Time Lyapunov Exponents
Hessam Babaee, Mohamad Farazmand, George Haller +1
High-dimensional chaotic dynamical systems can exhibit strongly transient features. These are often associated with instabilities that have finite-time duration. Because of the fin…
A Critical Comparison of Lagrangian Methods for Coherent Structure Detection
Alireza Hadjighasem, Mohammad Farazmand, Daniel Blazevski +2
We review and test twelve different approaches to the detection of finite-time coherent material structures in two-dimensional, temporally aperiodic flows. We consider both mathema…
Exact Nonlinear Model Reduction for a von Karman beam: Slow-Fast Decomposition and Spectral Submanifolds
Shobhit Jain, Paolo Tiso, George Haller
We apply two recently formulated mathematical techniques, Slow-Fast Decomposition (SFD) and Spectral Submanifold (SSM) reduction, to a von Karman beam with geometric nonlinearities…
Uncovering the Edge of the Polar Vortex
Mattia Serra, Pratik Sathe, Francisco Beron-Vera +1
The polar vortices play a crucial role in the formation of the ozone hole and can cause severe weather anomalies. Their boundaries, known as the vortex `edges', are typically ident…