output
20082022
most citedStochastic Differential Equations Driven by Fractional Brownian Motion and Standard Brownian Motion

146 citations

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

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7 papers · 1 filter

math.DS2021★ 10 cited

Persistent Strange attractors in 3D Polymatrix Replicators

Telmo Peixe, Alexandre A. Rodrigues

We introduce a one-parameter family of polymatrix replicators defined in a three-dimensional cube and study its bifurcations. For a given interval of parameters, this family exhibi…

math.DS2019★ 1 cited

Periodic attractor in the discrete time best-response dynamics of the Rock-Paper-Scissors game

José Pedro Gaivão, Telmo Peixe

The Rock-Paper-Scissors (RPS) game is a classic non-cooperative game widely studied in terms of its theoretical analysis as well as in its applications, ranging from sociology and…

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.DS2011★ 16 cited

Chaos in the square billiard with a modified reflection law

Gianluigi Del Magno, João Lopes Dias, Pedro Duarte +2

The purpose of this paper is to study the dynamics of a square billiard with a non-standard reflection law such that the angle of reflection of the particle is a linear contraction…

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…