Inverse problem and equivalent contact systems Articles uri icon

authors

  • LEON RODRIGUEZ, MANUEL DE
  • Gaset, Jordi
  • Lainz, Manuel

publication date

  • June 2022

start page

  • 1

end page

  • 18

issue

  • 104500

volume

  • 176

International Standard Serial Number (ISSN)

  • 0393-0440

Electronic International Standard Serial Number (EISSN)

  • 1879-1662

abstract

  • 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.

subjects

  • Mathematics
  • Physics

keywords

  • contact geometry; equivalent lagrangians; inverse problem