Inverse problem and equivalent contact systems
Autor:
de León, Manuel
; Gaset, Jordi
; Lainz, Manuel
Fecha:
2022Palabra clave:
Revista / editorial:
Journal of Geometry and PhysicsTipo de Ítem:
Articulo Revista IndexadaResumen:
We present several results on the inverse problem and equivalent contact Lagrangian 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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