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Geometric approach to dynamics obtained by deformation of time-dependent Lagrangians

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Abstract

The relationship of equations of motion of a Lagrangian \(\phi (L)\) to those of L is studied in the non-autonomous case, and the question of the existence of a function \(\phi \) such that \(\phi (L)\) is dynamically equivalent to L is answered.

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Authors and Affiliations

  1. Departamento de Física Teórica, Facultad de Ciencias, Universidad de Zaragoza, 50009, Zaragoza, Spain

    José F. Cariñena

  2. Departamento de Física, Facultad de Ciencias, Universidad de Oviedo, c/ Calvo Sotelo SN, 33007, Oviedo, Spain

    José Fernández Núñez

Authors
  1. José F. Cariñena
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  2. José Fernández Núñez
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Correspondence to José Fernández Núñez.

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Cariñena, J.F., Fernández Núñez, J. Geometric approach to dynamics obtained by deformation of time-dependent Lagrangians. Nonlinear Dyn 86, 1285–1291 (2016). https://doi.org/10.1007/s11071-016-2964-1

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  • DOI: https://doi.org/10.1007/s11071-016-2964-1

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