Chara Pantazi
Polytechnic University of Catalonia
21 Papers
89 Citations
Chara Pantazi is an academic researcher from Polytechnic University of Catalonia. The author has contributed to research in topics: Vector field & Polynomial. The author has an hindex of 9, co-authored 21 publications.
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Papers
Inverse problems for invariant algebraic curves: explicit computations
TL;DR: In this article, the authors describe how to determine polynomial vector fields which leave a planar algebraic curve invariant in the complex affine plane and give an explicit expression for these vector fields.
Centers of quasi-homogeneous polynomial differential equations of degree three
TL;DR: In this paper, the centers of the quasi-homogeneous planar polynomial differential systems of degree three were characterized and shown to not admit isochronous centers, and the average theory of first order was used to characterize the centers.
31
On planar polynomial vector fields with elementary first integrals
TL;DR: In this paper, it was shown that a polynomial differential system having an elementary first integral already admits a Darboux first integral, and explicitly characterized the vector fields in this class.
20
Differential Galois theory and non-integrability of planar polynomial vector fields
TL;DR: In this paper, a necessary condition for the integrability of polynomials vector fields in the plane by means of the differential Galois theory is studied, which is equivalent to the existence of a rational solution of a certain first order linear equation.
20
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Differential Galois Theory and non-Integrability of Planar Polynomial Vector Fields
TL;DR: In this article, a necessary condition for the integrability of polynomials fields in the plane by means of the differential Galois theory is studied, which is equivalent to the existence of a rational solution of a certain first order linear equation.
18