arXiv
Open Access
2021
Symmetries, constants of the motion and reduction of mechanical systems with external forces
Manuel de León
Manuel Lainz
Asier López-Gordón
Abstrak
This paper is devoted to the study of mechanical systems subjected to external forces in the framework of symplectic geometry. We obtain a Noether's theorem for Lagrangian systems with external forces, among other results regarding symmetries and conserved quantities. We particularize our results for the so-called Rayleigh dissipation, i.e., external forces that are derived from a dissipation function, and illustrate them with some examples. Moreover, we present a theory for the reduction of Lagrangian systems subjected to external forces which are invariant under the action of a Lie group.
Topik & Kata Kunci
Penulis (3)
M
Manuel de León
M
Manuel Lainz
A
Asier López-Gordón
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2021
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- en
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- arXiv
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- Open Access ✓