output
20012020
most citedMultidimensional continued fractions, dynamical renormalization and KAM theory

54 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 math.DSShow all

6 papers · 1 filter

math.DS2014★ 5 cited

Asymptotic Poincaré Maps along the edges of Polytopes

Hassan Najafi Alishah, Pedro Duarte, Telmo Peixe

For a class of flows on polytopes, including many examples from Evolutionary Game Theory, we describe a piecewise linear model which encapsulates the asymptotic dynamics along the…

math.DS2013★ 7 cited

Ergodicity of polygonal slap maps

Gianluigi Del Magno, João Lopes Dias, Pedro Duarte +1

Polygonal slap maps are piecewise affine expanding maps of the interval obtained by projecting the sides of a polygon along their normals onto the perimeter of the polygon. These m…

math.DS2013★ 3 cited

Dissipative outer billiards: a case study

Gianluigi Del Magno, José Pedro Gaivão, Eugene Gutkin

We study dissipative polygonal outer billiards, i.e. outer billiards about convex polygons with a contractive reflection law. We prove that dissipative outer billiards about any tr…

math.DS2010★ 3 cited

A new proof of the Herman-Avila-Bochi formula for Lyapunov exponents of SL(2,R)-cocycles

Alexandre T. Baraviera, Joao Lopes Dias, Pedro Duarte

We study the geometry of the action of SL(2,R) on the projective line in order to present a new and simpler proof of the Herman-Avila-Bochi formula. This formula gives the average…

math.DS2008★ 1 cited

Hamiltonian elliptic dynamics on symplectic 4-manifolds

Mario Bessa, Joao Lopes Dias

We consider C2 Hamiltonian functions on compact 4-dimensional symplectic manifolds to study elliptic dynamics of the Hamiltonian flow, namely the so-called Newhouse dichotomy. We s…

math.DS2007★ 31 cited

Generic dynamics of 4-dimensional C2 Hamiltonian systems

Mario Bessa, Joao Lopes Dias

We study the dynamical behaviour of Hamiltonian flows defined on 4-dimensional compact symplectic manifolds. We find the existence of a C2-residual set of Hamiltonians for which ev…