The isolated saddle-node bifurcation occurring inside a horseshoe

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dc.creatorCao, Yongluo
dc.creatorKiriki, Shin
dc.date1998-10-19
dc.date.accessioned2026-07-07T05:26:32Z
dc.date.available2026-07-07T05:26:32Z
dc.descriptionIn this paper, we consider a smooth arc of diffeomorphisms which has a saddle-node bifurcation inside a nontrivial invariant set which is a deformation of a horseshoe. We show that this saddle-node bifurcation is isolated, that is, its hyperbolicity is maintained before and after the saddle-node bifurcation. Moreover we construct a $C^2$-open set of arcs having the same property.
dc.description18 pages, 4 figures, to apper Dynamics and Stability of Systems
dc.identifierhttps://arxiv.org/abs/math/9810118
dc.identifierhttp://arxiv.org/abs/math/9810118
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77582
dc.subjectDynamical Systems
dc.subject58F09; 58F14; 58F15
dc.titleThe isolated saddle-node bifurcation occurring inside a horseshoe
dc.typetext

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