RT Journal Article T1 Bifurcations and Attractor-Repeller Splittings of Non-Saddle Sets A1 Barge, Héctor A1 Rodríguez Sanjurjo, José Manuel AB This paper is devoted to the study of some aspects of the stability theory of flows. In particular, we study Morse decompositions induced by non-saddle sets, including their corresponding Morse equations, attractor-repeller splittings of non-saddle sets and bifurcations originated by implosions of the basin of attraction of asymptotically stable fixed points. We also characterize the non-saddle sets of the plane in terms of the Euler characteristic of their region of influence. PB Springer SN 1040-7294 YR 2017 FD 2017 LK https://hdl.handle.net/20.500.14352/17653 UL https://hdl.handle.net/20.500.14352/17653 LA eng NO Ministerio de Economía y Competitividad (MINECO) NO FPI DS Docta Complutense RD 21 abr 2025