RT Journal Article T1 Topology and dynamics of unstable attractors A1 Alonso Morón, Manuel A1 Sánchez Gabites, Jaime Jorge A1 Rodríguez Sanjurjo, José Manuel AB This 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 some hints on how Conley's index is related to stability. Then the setting is specialized to the case of flows in R-n, where unstable attractors are seen to be dynamically complex since they must have external explosions PB Polish acad sciences inst mathematics SN 0016-2736 YR 2007 FD 2007 LK https://hdl.handle.net/20.500.14352/49998 UL https://hdl.handle.net/20.500.14352/49998 NO Alonso Morón, M., Sánchez Gabites, J. J. y Rodríguez Sanjurjo, J. M. «Topology and Dynamics of Unstable Attractors». Fundamenta Mathematicae, vol. 197, 2007, pp. 239-52. DOI.org (Crossref), https://doi.org/10.4064/fm197-0-11. NO International Conference on Geometric Topology Honoring the 100th Birth Anniversary of Karol Borsuk, JUL 03-10, 2005, Bedlewo, POLAND DS Docta Complutense RD 8 abr 2025