Quasi normal sectors and orbits in regular critical directions of planar system

DOI10.1007/s11401-017-1030-8zbMath1383.34052OpenAlexW2750694986MaRDI QIDQ681059

Shimin Li, Yulin Zhao

Publication date: 30 January 2018

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-017-1030-8

zbMATH Keywords

generalized normal sectornormal sectorquasi normal sector

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20)

Related Items (1)

On the Poincaré-Bendixson formula for planar piecewise smooth vector fields

Cites Work

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• Focus-center problem of planar degenerate system
• Singularities of vector fields on the plane
• Stability of motion
• Investigation of the behaviour of the integral curves of a system of two differential equations in the neighbourhood of a singular point
• Differential Equations Defined by the Sum of two Quasi-Homogeneous Vector Fields
• Generalized normal sectors and orbits in exceptional directions
• A SURVEY ON THE BLOW UP TECHNIQUE

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