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Sánchez Gabites, Jaime Jorge | Universidad Complutense de Madrid, Servicio de Publicaciones | 2008-07-04En el marco del análisis de flujos continuos en variedades la teoría del índice de Conley juega un papel destacado. En ella se relaciona información local, que involucra al flujo en torno a compactos invariantes aislados, con información global [...]texto impreso
Under suitable hypotheses the well known notion of first prolongational set J(+) gives rise to a multivalued map Psi : X -> 2(X) which is continuous when the upper semifinite topology is considered in the hyperspace of X. Some important dynamic[...]texto impreso
Sánchez Gabites, Jaime Jorge ; Rodríguez Sanjurjo, José Manuel | American Mathematical Society | 2007Suppose phi : M x R -> M is a continuous flow on a locally compact metrizable space M and K is an ( asymptotically stable) attractor. Let D =partial derivative A( K) be the boundary of the basin of attraction of K. In the present paper it will [...]texto impreso
Sánchez Gabites, Jaime Jorge ; Rodríguez Sanjurjo, José Manuel | Croatian Mathematical Society; Department of Mathematics, University of Zagreb | 2007-06A compact stable attractor K of a continuous flow on a locally compact metric space is shape equivalent to a compact positively invariant neighbourhood P in its basin of attraction, the shape equivalence being induced by the inclusion map. In [...]texto impreso
Morón, Manuel A. ; Sánchez Gabites, Jaime Jorge ; Rodríguez Sanjurjo, José Manuel | Polish acad sciences inst mathematics | 2007This article aims to explore the theory of unstable attractors with topological tools. A short topological analysis of the isolating blocks for unstable attractors with no external explosions leads quickly to sharp results about their shapes and[...]
