2026-06-28T20:10:04Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/501422023-08-28T07:02:14Zcom_20.500.14352_14col_20.500.14352_15

Topological robustness of non-saddle sets Giraldo, A. Rodríguez Sanjurjo, José Manuel Conference on General Topology in Honour of Peter Collins and Mike Reed, AUG 07-10, 2006, Oxford, ENGLAND We study in this paper preservation of dynamical and shape theoretical properties under Continuation for parametrized families of flows. We show that, although attractors continue. the same does not hold for non-saddle sets. However, when they continue, their shape is preserved in quite general settings, which include differentiable families of flows and regular non-saddle sets for general flows, not necessarily differentiable. We also Study how the continuation of a non-saddle set influences that of its dual non-saddle set. 2023-06-20T09:39:57Z 2023-06-20T09:39:57Z 2009 journal article 0166-8641 10.1016/j.topol.2009.03.020 https://hdl.handle.net/20.500.14352/50142 http://www.sciencedirect.com/science/article/pii/S0166864109000868 http://www.sciencedirect.com/ eng restricted access Elsevier Science