• Corpus ID: 239998490

Discrete Hamilton-Jacobi theory for systems with external forces

@article{Len2021DiscreteHT,
  title={Discrete Hamilton-Jacobi theory for systems with external forces},
  author={Manuel de Le{\'o}n and Manuel Lainz and Asier L{\'o}pez-Gord{\'o}n},
  journal={ArXiv},
  year={2021},
  volume={abs/2110.14431}
}
This paper is devoted to discrete mechanical systems subject to external forces. We introduce a discrete version of systems with Rayleigh-type forces, obtain the equations of motion and characterize the equivalence for these systems. Additionally, we obtain a Noether’s theorem and other theorem characterizing the Lie subalgebra of symmetries of a forced discrete Lagrangian system. Moreover, we develop a Hamilton-Jacobi theory for forced discrete Hamiltonian systems. These results are useful for… 

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