TY - JOUR
T1 - Global Structure of Planar Quadratic Semi-Quasi-Homogeneous Polynomial Systems
AU - He , Zecen
AU - Liang , Haihua
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 561
EP - 572
PY - 2021
DA - 2021/04
SN - 1
DO - http://doi.org/10.12150/jnma.2019.561
UR - https://global-sci.org/intro/article_detail/jnma/18840.html
KW - Semi-quasi-homogeneous, quadratic system, singular point, global
phase portraits.
AB - <p style="text-align: justify;">This paper study the planar quadratic semi-quasi-homogeneous
polynomial systems (short for PQSQHPS). By using the nilpotent singular
points theorem, blow-up technique, Poincaré index formula, and Poincaré compaction method, the global phase portraits of such systems in canonical forms
are discussed. Furthermore, we show that all the global phase portraits of
PQSQHPS can be classed into six topological equivalence classes.</p>