output
19932026
most citedThe Gaia mission

7.1k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions
Showing 2018 · math.DSShow all

8 papers · 2 filters

math.DS2018

Large deviations for dynamical systems with stretched exponential decay of correlations

Romain Aimino, Jorge Milhazes Freitas

We obtain large deviations estimates for systems with stretched exponential decay of correlations, which improve the ones obtained in \cite{AFLV11}. As a consequence we obtain bett…

math.DS2018★ 16 cited

Almost complete and equable heteroclinic networks

Peter Ashwin, Sofia Castro, Alexander Lohse

Heteroclinic connections are trajectories that link invariant sets for an autonomous dynamical flow: these connections can robustly form networks between equilibria, for systems wi…

math.DS2018★ 6 cited

Chaos near a reversible homoclinic bifocus

Pablo G. Barrientos, Artem Raibekas, Alexandre A. P. Rodrigues

We show that any neighborhood of a non-degenerate reversible bifocal homoclinic orbit contains chaotic suspended invariant sets on -symbols for all . This will be achie…

math.DS2018

Periodic Functions, Lattices and Their Projections

Isabel S. Labouriau, Eliana M. Pinho

Functions whose symmetries form a crystallographic group in particular have a lattice of periods, and the set of their level curves forms a periodic pattern. We show how after proj…

math.DS2018

Equilibrium states for a class of skew-products

Maria Carvalho, Sebastián A. Pérez

We consider skew-products on , where is the two-sphere or the two-torus, which are partially hyperbolic and semi-conjugate to an Axiom A diffeomorphism. T…

math.DS2018★ 10 cited

Dynamical counterexamples regarding the Extremal Index and the mean of the limiting cluster size distribution

Miguel Abadi, Ana Cristina Moreira Freitas, Jorge Milhazes Freitas

The Extremal Index is a parameter that measures the intensity of clustering of rare events and is usually equal to the reciprocal of the mean of the limiting cluster size distribut…

math.DS2018★ 7 cited

Hénon-like families and blender-horseshoes at non-transverse heterodimensional cycles

Lorenzo J. Díaz, Sebastián A. Pérez

In dimension three and under certain regularity assumptions, we construct a renormalisation scheme at the heterodimensional tangency of a non-transverse heterodimensional cycle ass…

math.DS2018

Strange attractors and non wandering domains near a homoclinic cycle to a bifocus

Alexandre A. P. Rodrigues

In this paper, we explore the three-dimensional chaotic set near a homoclinic cycle to a hyperbolic bifocus at which the vector field has negative divergence. If the invariant mani…