• Corpus ID: 235377228

Learning normal form autoencoders for data-driven discovery of universal, parameter-dependent governing equations

  title={Learning normal form autoencoders for data-driven discovery of universal, parameter-dependent governing equations},
  author={Manu Kalia and Steven L. Brunton and Hil G. E. Meijer and Christoph Brune and J. Nathan Kutz},
Complex systems manifest a small number of instabilities and bifurcations that are canonical in nature, resulting in universal pattern forming characteristics as a function of some parametric dependence. Such parametric instabilities are mathematically characterized by their universal unfoldings, or normal form dynamics, whereby a parsimonious model can be used to represent the dynamics. Although center-manifold theory guarantees the existence of such low-dimensional normal forms, finding them… 

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