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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.DS2018
Darboux polynomials and global phase portraits for the D_2 vector field
Kostas Katsios, Stavros Anastassiou
We study a vector field of R^3 equivariant under the D_2 symmetry group, called "the D_2 field" in the literature. We construct the complete list of Darboux polynomials for it, sol…