Quadratic systems with an invariant conic having Darboux invariants

Autor:	Llibre, Jaume, Oliveira, Regilene D. S.
Rok vydání:	2021
Předmět:	Phase portraits Darboux invariant Quadratic vector fields
Zdroj:	Recercat: Dipósit de la Recerca de Catalunya Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) Recercat. Dipósit de la Recerca de Catalunya instname
Popis:	The complete characterization of the phase portraits of real planar quadratic vector fields is very far to be completed. As this attempt is not possible in the whole class due to the large number of parameters (twelve, but, after affine transformations and time rescaling, we arrive at families with five parameters, which is still a big number of parameters), many subclasses have been considered and studied. In this paper we complete the characterization of the global phase portraits in the Poincaré disc of all planar quadratic polynomial differential systems having an invariant conic and a Darboux invariant, constructed using only the invariant conic.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::34db384a2e249fea9d7b412af8e02529 http://hdl.handle.net/2072/431014 Zobrazit plný text záznamu