321 citations · 685 across the 12 of their papers we have counts for
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math.DS2022★ 17 cited
Modelling of physical systems with a Hopf bifurcation using mechanistic models and machine learning
K. H. Lee, D. A. W. Barton, L. Renson
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 bif…
math.DS2022
Numerical methods for control-based continuation of relaxation oscillations
Mark Blyth, Krasimira Tsaneva-Atanasova, Lucia Marucci +1
Control-based continuation (CBC) is an experimental method that can reveal stable and unstable dynamics of physical systems. It extends the path-following principles of numerical c…