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Corpus ID: 230433934

Poisson-Hopf deformations of Lie-Hamilton systems revisited: deformed superposition rules and applications to the oscillator algebra

@inproceedings{Ballesteros2021PoissonHopfDO,
title={Poisson-Hopf deformations of Lie-Hamilton systems revisited: deformed superposition rules and applications to the oscillator algebra},
author={{\'A}. Ballesteros and R. Campoamor-Stursberg and Eduardo Fern{\'a}ndez-Saiz and F. Herranz and J. D. Lucas},
year={2021}
}

The formalism for Poisson–Hopf (PH) deformations of Lie–Hamilton systems, recently proposed in [1], is refined in one of its crucial points concerning applications, namely the obtention of effective and computationally feasible PH deformed superposition rules for prolonged PH deformations of Lie–Hamilton systems. The two new notions here proposed are a generalization of the standard superposition rules and the concept of diagonal prolongations for Lie systems, which are consistently recovered… CONTINUE READING