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Inference of Hamiltonian and Lie-Poisson structures from vector field samples

Frank, Jason E. et al.
arXiv (All) · Papers
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68t07-secondarydynamical-systemsnumerical-analysissymplectic-geometry
We present a method for the data-driven inference of Hamiltonian and Lie-Poisson dynamical systems from vector-field samples, in which the Hamiltonian and the underlying Poisson tensor are estimated jointly rather than assuming the structure is known. The Hamiltonian is represented as a linear combi
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