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math.DS2024
Planar vector fields in the kernel of a 1--form
Stavros Anastassiou
We classify, up to a natural equivalence relation, vector fields of the plane which belong to the kernel of a 1--form. This form can be closed, in which case the vector fields are…
math.DS2024
Local models for smooth vector fields of the line
Stavros Anastassiou
We present the local classification of singularities of smooth vector fields on the line, with respect to the equivalence relation of --conjugacy. Along the way, we recall the…