TY - JOUR
T1 - Darboux theory of integrability for polynomial vector fields on 핊n
AU - Llibre, J.
AU - Murza, A.C.
PY - 2018
Y1 - 2018
N2 - This is a survey on the Darboux theory of integrability for polynomial vector fields, first in and second in the n-dimensional sphere . We also provide new results about the maximum number of invariant parallels and meridians that a polynomial vector field on 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 in can have in function of the degree of
AB - This is a survey on the Darboux theory of integrability for polynomial vector fields, first in and second in the n-dimensional sphere . We also provide new results about the maximum number of invariant parallels and meridians that a polynomial vector field on 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 in can have in function of the degree of
UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-85040988923&partnerID=MN8TOARS
U2 - 10.1080/14689367.2017.1420141
DO - 10.1080/14689367.2017.1420141
M3 - Article
SN - 1468-9367
VL - 33
SP - 646
EP - 659
JO - Dynamical systems : An International Journal
JF - Dynamical systems : An International Journal
IS - 4
ER -