Darboux theory of integrability for real polynomial vector fields on Sⁿ

Autor:	Jaume Llibre, Adrian C. Murza
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	Pure mathematics Polynomial vector fields n-sphere General Mathematics 010102 general mathematics 01 natural sciences Darboux integrability theory Computer Science Applications 010101 applied mathematics N-dimensional spheres Invariant meridian 0101 mathematics Invariant parallel Mathematics
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 Dipòsit Digital de Documents de la UAB Universitat Autònoma de Barcelona
Popis:	This is a survey on the Darboux theory of integrability for polynomial vector fields, first in Rⁿ and second in the n-dimensional sphere Sⁿ. We also provide new results about the maximum number of invariant parallels and meridians that a polynomial vector field X on Sⁿ can have in function of its degree. These results in some sense extend the known result on the maximum number of hyperplanes that a polynomial vector field Y in Rⁿ can have in function of the degree of Y.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::17a833020e9e873f2cca0d97d7f6bf65 https://ddd.uab.cat/record/199352 Zobrazit plný text záznamu