# 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…

## One Citation

Geometric Hamilton-Jacobi theory for systems with external forces

- Physics, Mathematics
- 2021

In this paper, we develop a Hamilton-Jacobi theory for forced Hamiltonian and Lagrangian systems. We study the complete solutions, particularize for Rayleigh systems and present some examples.…

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