Periodic orbits of a generalized Hénon–Heiles system

In this paper, we apply the Lyapunov center theorem, Weinstein–Moser theorem and the averaging theory of second order to prove the existence of periodic orbits of a one-parameter generalized Hénon–Heiles Hamiltonian system which includes the classical one. We show that this system has at least t...

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Detalles Bibliográficos
Autores principales: Álvarez-Ramírez, M., García-Saldaña, J. D.
Formato: Artículo (Article)
Idioma:Inglés (English)
Publicado: Journal of Physics: A Mathematical & Theoretical 2020
Materias:
Acceso en línea:http://repositoriodigital.ucsc.cl/handle/25022009/2009