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arXiv · 2110.04815

Inverse problem and equivalent contact systems

Manuel de León·Jordi Gaset·Manuel Lainz Valcázar
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Abstract

We present several results on the inverse problem and equivalent contactLagrangian systems. These problems naturally lead to consider smooth transformations on the z variable (i.e., reparametrizations of the action). We present the extended contact Lagrangian systems to formalize this notion. With this structure we define horizontal equivalence of Lagrangians, which generalizes the symplectic case. We also present some results on the inverse problem for extended contact systems.

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Manuel de León, Jordi Gaset, Manuel Lainz Valcázar. 2021-10-10. Inverse problem and equivalent contact systems. https://doi.org/10.1016/j.geomphys.2022.104500

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