Orbitas frenadas en sistemas mecánicos finslerianos
Given a mechanical system (M,K,U) where M is a n-dimensional variety and the kinetic and potential energy K and U are three times differentiable, let E0 be a potential energy value such that {X ϵ M|U(x) ≤ E0} is homeomorphic to the n-dimensional disk, and its border B is the E0-equipotential surface...
- Autores:
-
Ruiz M., Otto Raúl
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 1983
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/42783
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/42783
http://bdigital.unal.edu.co/32880/
- Palabra clave:
- Mechanical system
kinetic and potential energy
homeomorphic
Finsler
mechanical system
Riemann / Sistema mecánico
cinética
potencial energético
homeomorfo
Finsler
sistema mecánico
Riemann
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | Given a mechanical system (M,K,U) where M is a n-dimensional variety and the kinetic and potential energy K and U are three times differentiable, let E0 be a potential energy value such that {X ϵ M|U(x) ≤ E0} is homeomorphic to the n-dimensional disk, and its border B is the E0-equipotential surface. If (M,K,U) is a Finsler mechanical system, then any point of potential energy less than E0 can be joined to B by an orbit of total energy E0 which approaches a fixed point of B. If (M,K,U) is a Riemann mechanical system, the orbit can be made to turn back on itself after reaching B. |
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