TY - JOUR
T1 - Algebraic and topological classification of homogeneous quartic vector fields in the plane
AU - Llibre, Jaume
AU - Martínez, Y. Paulina
AU - Vidal, Claudio
N1 - Publisher Copyright:
© 2021, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2022/2
Y1 - 2022/2
N2 - We provide canonical forms for the homogeneous polynomials of degree five. Then we characterize all the phase portraits in the Poincaré disk for all quartic homogeneous polynomial differential systems. More precisely, there are exactly 23 different topological phase portraits for the quartic homogeneous polynomial differential systems.
AB - We provide canonical forms for the homogeneous polynomials of degree five. Then we characterize all the phase portraits in the Poincaré disk for all quartic homogeneous polynomial differential systems. More precisely, there are exactly 23 different topological phase portraits for the quartic homogeneous polynomial differential systems.
KW - Homogeneous polynomial vector fields
KW - Phase portraits
KW - Quartic homogeneous polynomial differential systems
UR - https://www.scopus.com/pages/publications/85104107086
U2 - 10.1007/s10231-021-01106-5
DO - 10.1007/s10231-021-01106-5
M3 - Article
AN - SCOPUS:85104107086
SN - 0373-3114
VL - 201
SP - 37
EP - 55
JO - Annali di Matematica Pura ed Applicata
JF - Annali di Matematica Pura ed Applicata
IS - 1
ER -