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...
| Autores: | ; ; |
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| Tipo de documento: | Artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Lenguaje: | Inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/93475 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/93475 |
| Nivel de acceso: | Acceso abierto |
| Palabra clave: | Análisis matemático Ecuaciones diferenciales Física matemática 1202 Análisis y Análisis Funcional |
| Sumario: | 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. |
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