16 citations · 46 across the 11 of their papers we have counts for
5 papers · 1 filter
Model Reduction to Spectral Submanifolds in Non-Smooth Dynamical Systems
Leonardo Bettini, Mattia Cenedese, George Haller
We develop a model reduction technique for non-smooth dynamical systems using spectral submanifolds. Specifically, we construct low-dimensional, sparse, nonlinear and non-smooth mo…
Data-Assisted Non-Intrusive Model Reduction for Forced Nonlinear Finite Elements Models
Mattia Cenedese, Jacopo Marconi, George Haller +1
Spectral submanifolds (SSMs) have emerged as accurate and predictive model reduction tools for dynamical systems defined either by equations or data sets. While finite-elements (FE…
Capturing the Edge of Chaos as a Spectral Submanifold in Pipe Flows
Bálint Kaszás, George Haller
An extended turbulent state can coexist with the stable laminar state in pipe flows. We focus here on short pipes with additional discrete symmetries imposed. In this case, the bou…
Fast computation and characterization of forced response surfaces via spectral submanifolds and parameter continuation
Mingwu Li, Shobhit Jain, George Haller
For mechanical systems subject to periodic excitation, forced response curves (FRCs) depict the relationship between the amplitude of the periodic response and the forcing frequenc…
Robust Nonlinear Reduced-Order Model Predictive Control
John Irvin Alora, Luis A. Pabon, Johannes Köhler +5
Real-world systems are often characterized by high-dimensional nonlinear dynamics, making them challenging to control in real time. While reduced-order models (ROMs) are frequently…