dc.contributor.author
Llibre, Jaume
dc.contributor.author
Murza, Adrian
dc.identifier
https://ddd.uab.cat/record/199352
dc.identifier
urn:10.1080/14689367.2017.1420141
dc.identifier
urn:oai:ddd.uab.cat:199352
dc.identifier
urn:gsduab:4531
dc.identifier
urn:scopus_id:85040988923
dc.identifier
urn:wos_id:000448734500006
dc.identifier
urn:oai:egreta.uab.cat:publications/878c69ad-370c-444b-bc2a-1ada4699e19e
dc.description.abstract
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.
dc.format
application/pdf
dc.relation
Dynamical Systems ; 2018, p. 1-14
dc.rights
Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.
dc.rights
https://rightsstatements.org/vocab/InC/1.0/
dc.subject
Darboux integrability theory
dc.subject
Darboux integrability theory
dc.subject
Invariant meridian
dc.subject
Invariant parallel
dc.subject
N-dimensional spheres
dc.title
Darboux theory of integrability for real polynomial vector fields on Sⁿ
