2026-04-17T22:21:11Zhttps://recercat.cat/oai/request

oai:recercat.cat:10459.1/730432024-12-05T21:53:06Zcom_2072_3622col_2072_479130

Center problem with characteristic directions and inverse integrating factors García, I. A. (Isaac A.) Giné, Jaume Center Periodic orbits Inverse integrating factor Poincaré map We consider the center-focus problem for analytic families of planar vector fields having a monodromic singularity with characteristic directions. We give a method to compute the center conditions of the family provided there is an inverse integrating factor whose expression in polar coordinates has the exceptional divisor of the first polar blow-up as isolated zero-set. Some non-trivial examples are analyzed. The authors are partially supported by the Agencia Estatal de Investigación, Spain grant PID2020-113758GB-I00 and an AGAUR (Generalitat de Catalunya), Spain grant number 2017SGR 1276 2022-02-21T09:23:38Z 2022-02-21T09:23:38Z 2022 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion https://doi.org/10.1016/j.cnsns.2022.106276 1007-5704 http://hdl.handle.net/10459.1/73043 http://hdl.handle.net/10459.1/73043 eng info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113758GB-I00/ES/ANALISIS CUALITATIVO, INTEGRABILIDAD Y BIFURCACIONES EN SISTEMAS DINAMICOS CONTINUOS/ Reproducció del document publicat a https://doi.org/10.1016/j.cnsns.2022.106276 Communications in Nonlinear Science and Numerical Simulation, 2022, vol. 108, 106276 cc-by-nc-nd (c) Isaac A. García, Jaume Giné, 2022 info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ Elsevier