Smooth normal forms of folded elementary singular points

DOI10.1007/BF02255893zbMath0949.37025MaRDI QIDQ1972702

L. Ortiz-Bobadilla, Alexey Davydov

Publication date: 13 April 2000

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

zbMATH Keywords

singular pointsaddle-node typesmooth and topological normal forms

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Normal forms for dynamical systems (37G05) Bifurcations of singular points in dynamical systems (37G10) Other special methods applied to PDEs (35A25)

Related Items (9)

Normal forms of linear second order partial differential equations on the plane ⋮ Rank-1 codimension one singularities of positive quadratic differential forms ⋮ Dupin indicatrices and families of curve congruences ⋮ Invariants of binary differential equations ⋮ Binary differential equations at parabolic and umbilical points for 2-parameter families of surfaces ⋮ On pleated singular points of first-order implicit differential equations ⋮ On pairs of geometric foliations on a cross-cap ⋮ Multidimensional Poincaré construction and singularities of lifted fields for implicit differential equations ⋮ On the multiplicity of implicit differential equations

Cites Work

• Unnamed Item
• Normal form of a differential equation, not solvable for the derivative, in a neighborhood of a singular point
• On finite determinacy of formal vector fields
• Dulac's memoir “On limit cycles” and related problems of the local theory of differential equations
• On binary differential equations

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