Publication: Periodic orbits of a generalized Hénon–Heiles system
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Date
2020
Authors
Dra. García-Saldaña, Johanna
Álvarez-Ramírez, M.
Journal Title
Journal ISSN
Volume Title
Publisher
IOP Publishing
Abstract
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 two-families of stable periodic orbits for energy level h > 0.