3 papers
math.DS2026
Equation free data-driven modelling of chaotic processes
Aurora Poggi, Marco Martens, Hjalmar Brismar +2
We introduce a method for constructing predictive models of non cyclic physical processes directly from time-series data, without assuming an underlying differential equation. The…
math.DS2025
Non-Hyperbolic Chaotic Dynamics: Renormalization and More
Marco Martens, Liviana Palmisano
In two-dimensional unfoldings of homoclinic tangencies, the parameter space contains codimension-1 laminations whose leaves consist of maps with invariant non-hyperbolic Cantor set…
math.DS2017
Invariant Manifolds for Non-differentiable Operators
M. Martens, L. Palmisano
A general invariant manifold theorem is needed to study the topological classes of smooth dynamical systems. These classes are often invariant under renormalization. The classical…