RT Journal Article
T1 Topological robustness of non-saddle sets
A1 Giraldo, A.
A1 Rodríguez Sanjurjo, José Manuel
AB 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.
PB Elsevier Science
SN 0166-8641
YR 2009
FD 2009
LK https://hdl.handle.net/20.500.14352/50142
UL https://hdl.handle.net/20.500.14352/50142
LA eng
NO Conference on General Topology in Honour of Peter Collins and Mike Reed, AUG 07-10, 2006, Oxford, ENGLAND
DS Docta Complutense
RD 19 dic 2025