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: | ; ; |
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| 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 |
| Summary: | 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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