RT Journal Article
T1 On the topology of the boundary of a basin of attraction
A1 Sánchez Gabites, Jaime Jorge
A1 Rodríguez Sanjurjo, José Manuel
AB Suppose 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 be shown how the Conley index of D plays an important role in determining the topological nature of D and allows one to obtain information about the global dynamics of phi in M.
PB American Mathematical Society
SN 0002-9939
YR 2007
FD 2007
LK https://hdl.handle.net/20.500.14352/50153
UL https://hdl.handle.net/20.500.14352/50153
LA eng
DS Docta Complutense
RD 10 abr 2025