The projective vector field of a kind of three-dimensional quasi-homogeneous system on \(\mathbb S\)

DOI10.1016/j.na.2011.03.043zbMath1226.34032OpenAlexW2061247571MaRDI QIDQ544173

Jianfeng Huang, Yulin Zhao

Publication date: 14 June 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.03.043

zbMATH Keywords

limit cyclequasi-homogeneous systemprojection vector field

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items (1)

Extended quasi-homogeneous polynomial system in \({\mathbb{R}^{3}}\)

Cites Work

• Trajectories tending to a critical point in 3-space
• A certain class of integral curves in 3-space
• Invariant circles for homogeneous polynomial vector fields on the 2-dimensional sphere
• Structural stability of planar homogeneous polynomial vector fields: Applications to critical points and to infinity
• The limit set of trajectory in quasi-homogeneous system in ℝ³
• Polynomial first integrals for quasi-homogeneous polynomial differential systems
• Geometric Properties of Homogeneous Vector Fields of Degree Two in R 3
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