Centro de Matemática

output

20012022

most citedAutomated polyp detection in colon capsule endoscopy

306 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.

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Showing 2015 · math.DSShow all

8 papers · 2 filters

math.DS2015

Is there switching without suspended horseshoes?

Alexandre Rodrigues

In general, infinite switching behaviour near networks is associated with the existence of suspended horseshoes. Trajectories that realize switching lie within these transitive set…

math.DS2015

Limit cycles for a class of $Z_{2 n} -$ equivariant systems without infinite equilibria

Isabel S. Labouriau, Adrian C. Murza

We analyze the dynamics of a class of $Z_{2 n}$ -equivariant differential equations on the plane, depending on 4 real parameters. This study is the generalisation to $\mathb…

math.DS2015★ 18 cited

On Equilibrium States for Partially Hyperbolic Horseshoes

Isabel Rios, Jaqueline Siqueira

We prove existence and uniqueness of equilibrium states for a family of partially hyperbolic systems, with respect to Holder continuous potentials with small variation. The family…

math.DS2015★ 19 cited

Clustering of extreme events created by multiple correlated maxima

Davide Azevedo, Ana Cristina Moreira Freitas, Jorge Milhazes Freitas +1

We consider stochastic processes arising from dynamical systems by evaluating an observable function along the orbits of the system. The novelty is that we will consider observable…

math.DS2015★ 8 cited

Construction of heteroclinic networks in $R^{4}$

Alexander Lohse, Sofia B. S. D. Castro

We study heteroclinic networks in $R^{4}$ , made of a certain type of simple robust heteroclinic cycle. In simple cycles all the connections are of saddle-sink type in two-di…

math.DS2015★ 31 cited

Rare Events for the Manneville-Pomeau map

Ana Cristina Moreira Freitas, Jorge Milhazes Freitas, Mike Todd +1

We prove a dichotomy for Manneville-Pomeau maps $f : [0, 1] \to [0, 1]$ : given any point $ζ \in [0, 1]$ , either the Rare Events Point Processes (REPP), counting the number of exceedances…

math.DS2015★ 4 cited

Dynamics of the birational maps arising from $F_{0}$ and $d P_{3}$ quivers

Inês Cruz, Helena Mena-Matos, M. Esmeralda Sousa-Dias

The dynamics of the maps associated to $F_{0}$ and $d P_{3}$ quivers is studied in detail. We show that the corresponding reduced symplectic maps are conjugate to globally periodic maps…

math.DS2015★ 25 cited

Extremal dichotomy for uniformly hyperbolic systems

Maria Carvalho, Ana Cristina Moreira Freitas, Jorge Milhazes Freitas +2

We consider the extreme value theory of a hyperbolic toral automorphism $T : T^{2} \to T^{2}$ showing that if a Hölder observation $ϕ$ which is a function of a Euclide…