2026-04-13T01:02:21Zhttps://recercat.cat/oai/request

oai:recercat.cat:2072/3775472024-12-20T09:53:26Zcom_2072_199267com_2072_4427col_2072_199862

Hopf bifurcation at infinity and dissipative vector fields of the plane Alarcón, B. Rabanal, R. We describe some families of differentiable vector fields with the Hopf bifurcation at infinity, without assuming the continuous differentiability. These vector fields have isolated singular points on the plane, and the initial families are obtained by special perturbations at infinity of a vector field with some spectral property, for instance the dissipativity. The strong domination imposed by the spectral condition in the differentiable vector field is used, and then we do not apply the standard Poincaré compactification. Moreover, the perturbation of planar systems with a global period annulus is also considered. 2020-10-14T11:36:12Z 2024-09-19T13:27:02Z 2020-10-14T11:36:12Z 2024-09-19T13:27:02Z 2020-10-14T11:36:12Z 2024-09-19T13:27:02Z 2014-01-01 info:eu-repo/semantics/preprint http://hdl.handle.net/2072/377547 eng CRM Preprints info:eu-repo/semantics/openAccess L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons:http://creativecommons.org/licenses/by-nc-nd/4.0/ RECERCAT (Dipòsit de la Recerca de Catalunya)