Publicación: ONE-DIMENSIONAL CONTRACTING SINGULAR HORSESHOE
Fecha
2010
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PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Resumen
IN THIS PAPER WE PROVE SOME KIND OF STRUCTURAL STABILITY DEFINED AS USUAL BUT RESTRICTED TO A CERTAIN SUBSET OF ONE-DIMENSIONAL MAPS COMING FROM FIRST RETURN MAPS ASSOCIATED TO SINGULAR CYCLES FOR VECTOR FIELDS IN MANIFOLDS WITH BOUNDARY. THE MOTIVATION IS THE STABILITY OF THE SINGULAR HORSESHOES INTRODUCED BY LABARCA AND PACIFICO WHERE AN EXPANDING CONDITION ON THE SINGULARITY HOLDS. HERE WE OBTAIN ANALOGOUS RESULT BUT UNDER A CONTRACTING CONDITION.
