12 papers
Higher genus Cherry flows and full families of GIETs
Luca Marchese, Liviana Palmisano
Cherry flows are classical examples of flows on the two-dimensional torus exhibiting non-trivial recurrent dynamics. For every higher genus we construct a $C^\i…
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…
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…
Newhouse Laminations of polynomials on
Marco Martens, Liviana Palmisano, Zhuang Tao
It has been recently discovered that in smooth unfoldings of maps with a rank-one homoclinic tangency there are codimension two laminations of maps with infinitely many sinks. Inde…
A Phase Transition for Circle Maps with a Flat Spot and Different Critical Exponents
Liviana Palmisano, Bertuel Tangue
We study circle maps with a flat interval where the critical exponents at the two boundary points of the flat spot might be different. The space of such systems is partitioned in t…
Coexistence of non-periodic attractors
Liviana Palmisano
In the space of polynomial maps of of degree at least two, there are codimension laminations of maps with at least period doubling Cantor attractors. The leaf…