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  4. Periodic orbits of a generalized Hénon–Heiles system
 
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Periodic orbits of a generalized Hénon–Heiles system
Dra. García-Saldaña, Johanna 
Facultad de Ingeniería 
Álvarez-Ramírez, M.
10.1088/1751-8121/ab661f
IOP Publishing
2020
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.
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