Web: http://arxiv.org/abs/2209.06910

Sept. 16, 2022, 1:11 a.m. | K.H. Lee, D.A.W. Barton, L.Renson

cs.LG updates on arXiv.org arxiv.org

We propose a new hybrid modelling approach that combines a mechanistic model
with a machine-learnt model to predict the limit cycle oscillations of physical
systems with a Hopf bifurcation. The mechanistic model is an ordinary
differential equation normal-form model capturing the bifurcation structure of
the system. A data-driven mapping from this model to the experimental
observations is then identified based on experimental data using machine
learning techniques. The proposed method is first demonstrated numerically on a
Van der Pol oscillator …

arxiv machine machine learning math modelling systems

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