29 citations · 77 across the 27 of their papers we have counts for
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math.DS2013★ 3 cited
N-expansive homeomorphisms on surfaces
Alfonso Artigue, Maria José Pacifico, José Vieitez
We exploit the techniques developed in [Le] to study N-expansive homeomorphisms on surfaces. We prove that when f is a 2-expansive homeomorphism defined on a compact boundaryless s…
math.DS2013
Low dimensional bifurcations of snap-back repellors
Alfonso Artigue
We study the relationship between homoclinic orbits associated to repellors, usually called snap-back repellors, and expanding sets of smooth endomorphisms. Critical homoclinic orb…
math.DS2013★ 3 cited
Hyper-expansive Homeomorphisms
Alfonso Artigue
A homeomorphism on a compact metric space is said hyper-expansive if every pair of different compact sets are separated by the homeomorphism in the Hausdorff metric. We characteriz…