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arXiv · 2312.14927

Model Reduction to Spectral Submanifolds in Non-Smooth Dynamical Systems

Leonardo Bettini·Mattia Cenedese·George Haller
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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.

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Leonardo Bettini, Mattia Cenedese, George Haller. 2023-12-22. Model Reduction to Spectral Submanifolds in Non-Smooth Dynamical Systems. https://arxiv.org/abs/2312.14927

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