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