Model Reduction to Spectral Submanifolds in Non-Smooth Dynamical Systems
Dynamical Systems
2023-12-25 v1
Abstract
We develop a model reduction technique for non-smooth dynamical systems using spectral submanifolds. Specifically, we construct low-dimensional, sparse, nonlinear and non-smooth models on unions of slow and attracting spectral submanifolds (SSMs) for each smooth subregion of the phase space and then properly match them. We apply this methodology to both equation-driven and data-driven problems, with and without external forcing.
Cite
@article{arxiv.2312.14927,
title = {Model Reduction to Spectral Submanifolds in Non-Smooth Dynamical Systems},
author = {Leonardo Bettini and Mattia Cenedese and George Haller},
journal= {arXiv preprint arXiv:2312.14927},
year = {2023}
}
Comments
Submitted to International Journal of Non-Linear Mechanics