Stavros Anastassiou

collaborators

4 papers

math.DS2026

Detecting invariant manifolds of dynamical systems using persistent homology

Stavros Anastassiou, Å½iga Virk

We use methods of Persistent Homology Theory to study invariant manifolds of dynamical systems. We first establish connections between the persistence diagrams of two sets which ar…

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 $C^{1}$ --conjugacy. Along the way, we recall the…

math.DS2024

Singularities of 3d vector fields preserving the form of Martinet

Stavros Anastassiou

We study the local structure of vector fields on $R^{3}$ which preserve the Martinet $1$ -form $I^\pm = (1 + x) d y \pm z d z$ . We present the classification of their singularities, up t…