63 citations · 89 across the 4 of their papers we have counts for
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Learning Global Linear Representations of Nonlinear Dynamics
Thomas Breunung, Florian Kogelbauer
While linear systems are well-understood, no explicit solution for general nonlinear systems exists. A classical approach to make the understanding of linear system available in th…
When does a Periodic Response Exist in a Periodically Forced Multi-Degree-of-Freedom Mechanical System?
Thomas Breunung, George Haller
While periodic responses of periodically forced dissipative nonlinear mechanical systems are commonly observed in experiments and numerics, their existence can rarely be concluded…
Fast Computation of Steady-State Response for Nonlinear Vibrations of High-Degree-of-Freedom Systems
Shobhit Jain, Thomas Breunung, George Haller
We discuss an integral equation approach that enables fast computation of the response of nonlinear multi-degree-of-freedom mechanical systems under periodic and quasi-periodic ext…
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…