Detecting the limit cycles for a class of Hamiltonian systems under thirteen-order perturbed terms

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dc.creatorTigan, Gheorghe
dc.date2005-12-14
dc.date.accessioned2026-07-07T06:55:18Z
dc.date.available2026-07-07T06:55:18Z
dc.descriptionIt this paper we study a class of perturbed Hamiltonian systems under perturbations of thirteen order in order to detect the number of limit cycles which bifurcate from some periodic orbits of the unperturbed Hamiltonian system. The system has been previously studied in \cite{tig2}, \cite{tig3}, \cite{tig4}. We observe in the present work that the system under perturbations of thirteen order can have more limit cycles than under perturbations of five \cite{tig3}, respectively nine \cite{tig4} order but we have not identified more limit cycles than under perturbations of seven \cite{tig2} order.
dc.description10 pages, 16 figures
dc.identifierhttps://arxiv.org/abs/math/0512342
dc.identifierhttp://arxiv.org/abs/math/0512342
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106238
dc.subjectDynamical Systems
dc.subject34C07, 37G15
dc.titleDetecting the limit cycles for a class of Hamiltonian systems under thirteen-order perturbed terms
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