Binary differential equations with discriminant having a cusp singularity

DOI10.1007/s10883-011-9116-1zbMath1222.34009OpenAlexW2043867630MaRDI QIDQ548712

Yong-Cai Geng, Sumit K. Garg

Publication date: 30 June 2011

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-011-9116-1

zbMATH Keywords

classificationnormal formsingularitybinary differential equationtopological model

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Geometric methods in ordinary differential equations (34A26) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15)

Related Items (2)

On the geometry of the cross-cap in the Minkoswki 3-space and binary differential equations ⋮ Binary differential equations at parabolic and umbilical points for 2-parameter families of surfaces

Cites Work

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• Two-parameter families of implicit differential equations
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• On the multiplicity of implicit differential equations
• Locally stable singularities for positive quadratic differential forms
• Lines of principal curvature around umbilics and Whitney umbrellas
• On pairs of geometric foliations on a cross-cap
• On binary differential equations
• On binary differential equations and umbilics

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