2026-07-10T08:04:02Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/407272021-06-24T07:41:23Zcom_10324_32197com_10324_952com_10324_894col_10324_32199

Bravo, José Luis Fernández, Manuel Ojeda, Ignacio Sánchez, Fernándo 2019 Producción Científica This article deals with the study of the number of limit cycles surrounding a critical point of a quadratic planar vector field, which, in normal form, can be written as x ′ = a1x − y − a3x 2 + (2a2 + a5)xy+a6y 2 , y ′ = x+a1y+a2x 2+(2a3+a4)xy−a2y 2 . In particular, we study the semi-varieties defined in terms of the parameters a1, a2, . . . , a6 where some classical criteria for the associated Abel equation apply. The proofs will combine classical ideas with tools from computational algebraic geometry. application/pdf http://uvadoc.uva.es/handle/10324/40727 eng American Institute of Mathematical Sciences Uniqueness of limit cycles for quadratic vector fields info:eu-repo/semantics/article TEXT UVaDOC. Repositorio Documental de la Universidad de Valladolid Hispana