612 citations
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- Universidade de São PauloBR22 papers
- Centro Brasileiro de Pesquisas FísicasBR20 papers
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- Centre National de la Recherche ScientifiqueFR12 papers
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Showing 2012 · math.DSShow all
3 papers · 2 filters
math.DS2012
Attractors and repellers near generic elliptic points of reversible maps
Sergey Gonchenko, Jeroen Lamb, Isabel Rios +1
We show that resonance zones near an elliptic periodic point of a reversible map must, generically, contain asymptotically stable and asymptotically unstable periodic orbits, along…
math.DS2012★ 1 cited
A characterization of annularity for area-preserving toral homeomorphisms
Nancy Guelman, Andres Koropecki, Fabio Armando Tal
We prove that if an area-preserving homeomorphism of the torus in the homotopy class of the identity has a rotation set which is a nondegenerate vertical segment containing the ori…
math.DS2012
On cohomological -(in)stability
Alejandro Kocsard
After Katok, a homeomorphism is said to be cohomologically -stable when its space of real -coboundaries is closed in . In this short note we comp…