Year: 2019
Author: Zecen He, Haihua Liang
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 4 : pp. 561–572
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2019.561
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 4 : pp. 561–572
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Semi-quasi-homogeneous quadratic system singular point global phase portraits.