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math.DS2026
Normal forms and first integrals of planar maps at elliptic fixed points
Stavros Anastassiou
We study real-analytic, planar, maps, at a neighbourhood of an elliptic fixed point. We construct normal forms for them, when they admit a real-analytic first integral. We prove th…
math.DS2026
Detecting invariant manifolds of dynamical systems using persistent homology
Stavros Anastassiou, Žiga 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…