Closed stable orbits in a strongly coupled resonant Wilberforce pendulum

We prove the existence of closed stable orbits in a strongly coupled Wilberforce pendulum, for the case of a 1:2 resonance, by using techniques of singular geometric reduction combined with the more classical averaging method of Moser.

Detalhes bibliográficos
Autores: Avendaño Camacho, Misael, Torres Manotas, Alejandra, Vallejo Rodríguez, José Antonio
Formato: artículo
Fecha de publicación:2021
País:España
Recursos:Universidad Nacional de Educación a Distancia
Repositorio:e-spacio. Repositorio Institucional de la UNED
Idioma:inglés
OAI Identifier:oai:e-spacio.uned.es:20.500.14468/25024
Acesso em linha:https://hdl.handle.net/20.500.14468/25024
Access Level:acceso abierto
Palavra-chave:12 Matemáticas::1204 Geometría
Descrição
Resumo:We prove the existence of closed stable orbits in a strongly coupled Wilberforce pendulum, for the case of a 1:2 resonance, by using techniques of singular geometric reduction combined with the more classical averaging method of Moser.