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20012022
most citedAutomated polyp detection in colon capsule endoscopy

306 citations

Showing 2018 · math.DSShow all

5 papers · 2 filters

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

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…