Appears in collection : 2023 - T3 - WS3 - Computer algebra for functional equations in combinatorics and physics

Quadratization problem is, given a system of ODEs with polynomial right-hand side, transform the system to a system with quadratic right-hand side by introducing new variables. Such transformations have been used, for example, as a preprocessing step by model order reduction methods and for transforming chemical reaction networks. We will present a recent algorithm for computing such transformations and its extensions including systems with control

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  • Andrey Bychkov, Opal Issan, Gleb Pogudin, and Boris Kramer : Exact and optimal quadratization of nonlinear finite-dimensional non-autonomous dynamical systems, 2023 arXiv:2303.10285

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