15 citations · 42 across the 14 of their papers we have counts for
18 papers · 1 filter
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 genus we construct a p…
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…
Newhouse Laminations
Michael Benedicks, Marco Martens, Liviana Palmisano
Newhouse laminations occur in unfoldings of rank-one homoclinic tangencies. Namely, in these unfoldings, there exist codimension laminations of maps with infinitely many sinks…
Coexistence phenomena in the Hénon family
Michael Benedicks, Liviana Palmisano
We study the classical Hénon family , , , and prove that given an integer , there is a set of parameters of positive…
Full families of generalized interval exchange transformations
Luca Marchese, Liviana Palmisano
We consider generalized interval exchange transformations, or briefly GIETs, that is bijections of the interval which are piecewise increasing homeomorphisms with finite branches.…
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…
The Rigidity Conjecture
Marco Martens, Liviana Palmisano, Björn Winckler
A central question in dynamics is whether the topology of a system determines its geometry. This is known as rigidity. Under mild topological conditions rigidity holds for many cla…
Ergodic properties of bimodal circle maps
Sylvain Crovisier, Pablo Guarino, Liviana Palmisano
We give conditions that characterize the existence of an absolutely continuous invariant probability measure for a degree one endomorphism of the circle which is bimodal, suc…
Quasi-Symmetric Conjugacy for Circle Maps with a Flat Interval
Liviana Palmisano
In this paper we study quasi-symmetric conjugations of weakly order-preserving circle maps with a flat interval. Under the assumption that the maps have the same rotation num…
Cherry flows with non trivial attractors
Liviana Palmisano
We provide an example of Cherry flow (i.e. smooth flow on the -dimensional torus with a sink and a saddle) having quasi-minimal set which is an attractor. The first return map f…
On Physical Measures for Cherry Flows
Liviana Palmisano
Studies of the physical measures for Cherry flows were initiated by R. Saghin and E. Vargas in "Invariant measures for Cherry flows". While the non-positive divergence case was res…
Unbounded Regime for Circle Maps with a Flat Interval
Liviana Palmisano
We study C^2 weakly order preserving circle maps with a flat interval. In particular we are interested in the geometry of the mapping near to the singularities at the boundary of t…
A Denjoy counterexample for circle maps with an half-critical point
Liviana Palmisano
Modifying Hall's idea in "A C^{\infty} Denjoy counterexample" we construct an example of homeomorphism of the circle which is a Denjoy counterexample (i.e. it is not conjugated to…
A Phase Transition for Circle Maps and Cherry Flows
Liviana Palmisano
We study weakly order preserving circle maps with a flat interval. The main result of the paper is about a sharp transition from degenerate geometry to bounded geometry dep…