Periodic orbits of a generalized Hénon–Heiles system

Órbitas periódicas de un sistema Hénon-Heiles generalizado

dc.creatorÁlvarez-Ramírez, M.
dc.creatorGarcía-Saldaña, J. D.
dc.date2020-06-27T03:27:18Z
dc.date2020-06-27T03:27:18Z
dc.date2020-02
dc.identifierJ. Phys. A: Math. Theor. 53 (2020) 065204
dc.identifier1751-8113
dc.identifierhttp://repositoriodigital.ucsc.cl/handle/25022009/2009
dc.descriptionIn 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.
dc.languageen
dc.publisherJournal of Physics: A Mathematical & Theoretical
dc.subjectHamiltonian system
dc.subjectPeriodic orbits
dc.subjectAveraging theory
dc.titlePeriodic orbits of a generalized Hénon–Heiles system
dc.titleÓrbitas periódicas de un sistema Hénon-Heiles generalizado
dc.typeArticle


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