Structurally stable quadratic foliations

DOI10.1216/RMJ-2008-38-2-489zbMath1170.34038MaRDI QIDQ1011015

Jaume Llibre, Douglas S. Shafer, Xavier Jarque

Publication date: 7 April 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

structural stabilityphase portraitsquadratic vector fieldsquadratic foliations

Mathematics Subject Classification ID

Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Flows on surfaces (37E35) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

Related Items (2)

Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems ⋮ Structural stability of planar quasihomogeneous vector fields

Cites Work

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• Variétés (non separees) à une dimension et structures feuilletees du plan
• Structural stability on two-dimensional manifolds
• Chordal quadratic systems
• Stable planar polynomial vector fields
• Structural stability and generic properties of planar polynomial vector fields
• Structural stability of planar polynomial foliations
• Planar Polynomial Foliations
• Global structural stability of flows on open surfaces
• Classification of Continuous Flows on 2-Manifolds
• Structurally stable quadratic vector fields
• Generic Properties of Polynomial Vector Fields at Infinity
• Global Structure of Ordinary Differential Equations in the Plane

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