2026-04-13T14:57:42Zhttps://recercat.cat/oai/request
oai:recercat.cat:2072/4858562025-08-31T18:25:57Zcom_2072_98col_2072_378192
RECERCAT author Gouveia, Márcio R. A. author Llibre, Jaume author Roberto, Luci Any 2025-08-31T18:25:57Z 2025-08-31T18:25:57Z 2025info:eu-repo/date/embargoEnd/2026-04-30 http://hdl.handle.net/2072/485856 Altres ajuts: Acadèmia de Ciències i Arts de BarcelonaWhile all the phase portraits of the quadratic polynomial Hamiltonian systems in the Poincaré disc were classified in 1994 (see Artés and Llibre (J Differ Equ 107: 80-95, 1994)), we are far from the classification of the phase portraits of the cubic polynomial Hamiltonian systems in the Poincaré disc. In this paper, we deal with the one-parameter family of cubic polynomial Hamiltonian systems (Formula presented.) where (x, y) ∈ R2 are the variables and μ is a real parameter. We classify in the Poincaré disc the topological phase portraits of this family of systems when the parameter μ varies, describing the bifurcations which take place. embargoed access Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets. https://rightsstatements.org/vocab/InC/1.0/ Cubic polynomial differential systems Cubic systems Hamiltonian cubic systems Poincaré compactification Topological phase portraits Bifurcations Phase Portraits of a Family of Hamiltonian Cubic Systems Article