A Maupertuis-type principle in relativistic mechanics and applications
We provide a Maupertuis-type principle for the following system of ODE, of interest in special relativity: d/dt (mx˙/√1 −|˙x|2/c2) = ∇V(x), x ∈ ⊂ Rn, where m, c > 0 and V : → R is a function of class C1. As an application, we prove the existence of multiple periodic solutions with prescribed energy...
| Authors: | ; ; |
|---|---|
| Format: | Article |
| Publication date: | 2023 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/93475 |
| Online Access: | https://hdl.handle.net/20.500.14352/93475 |
| Access Level: | Open access |
| Keyword: | Análisis matemático Ecuaciones diferenciales Física matemática 1202 Análisis y Análisis Funcional |
| _version_ | 1878731842179301376 |
|---|---|
| author | Boscaggin, Alberto |
| author2 | Dambrosio, Walter Muñoz Hernández, Eduardo |
| author2_role | author author |
| author_browse | Boscaggin, Alberto Dambrosio, Walter Muñoz Hernández, Eduardo |
| author_facet | Boscaggin, Alberto Dambrosio, Walter Muñoz Hernández, Eduardo |
| author_role | author |
| collection | Docta Complutense |
| description | We provide a Maupertuis-type principle for the following system of ODE, of interest in special relativity: d/dt (mx˙/√1 −|˙x|2/c2) = ∇V(x), x ∈ ⊂ Rn, where m, c > 0 and V : → R is a function of class C1. As an application, we prove the existence of multiple periodic solutions with prescribed energy for a relativistic N-centre type problem in the plane. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_37b21fc32cf559f83f55ec00c3ece30c |
| institution | Universidad Complutense de Madrid (UCM) |
| instname_str | Universidad Complutense de Madrid (UCM) |
| language | eng |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:docta.ucm.es:20.500.14352/93475 |
| publishDate | 2023 |
| publishDateSort | 2023 |
| publisher | Springer |
| publisherStr | Springer |
| reponame_str | Docta Complutense |
| spelling | A Maupertuis-type principle in relativistic mechanics and applications Boscaggin, Alberto Dambrosio, Walter Muñoz Hernández, Eduardo Análisis matemático Ecuaciones diferenciales Física matemática 1202 Análisis y Análisis Funcional We provide a Maupertuis-type principle for the following system of ODE, of interest in special relativity: d/dt (mx˙/√1 −|˙x|2/c2) = ∇V(x), x ∈ ⊂ Rn, where m, c > 0 and V : → R is a function of class C1. As an application, we prove the existence of multiple periodic solutions with prescribed energy for a relativistic N-centre type problem in the plane. Springer https://hdl.handle.net/20.500.14352/93475 |
| spellingShingle | A Maupertuis-type principle in relativistic mechanics and applications Boscaggin, Alberto Análisis matemático Ecuaciones diferenciales Física matemática 1202 Análisis y Análisis Funcional |
| title | A Maupertuis-type principle in relativistic mechanics and applications |
| title_full | A Maupertuis-type principle in relativistic mechanics and applications |
| title_fullStr | A Maupertuis-type principle in relativistic mechanics and applications |
| title_full_unstemmed | A Maupertuis-type principle in relativistic mechanics and applications |
| title_short | A Maupertuis-type principle in relativistic mechanics and applications |
| title_sort | A Maupertuis-type principle in relativistic mechanics and applications |
| topic | Análisis matemático Ecuaciones diferenciales Física matemática 1202 Análisis y Análisis Funcional |
| topic_facet | Análisis matemático Ecuaciones diferenciales Física matemática 1202 Análisis y Análisis Funcional |
| url | https://hdl.handle.net/20.500.14352/93475 |