RT Journal Article
T1 A dynamical interpretation of the connection map of an attractor-repeller decomposition
A1 Sánchez Gabites, Jaime Jorge
AB In Conley index theory one may study an invariant set S by decomposing it into an attractor A, a repeller R, and the orbits connecting the two. The Conley indices of S, A and R fit into an exact sequence where a certain connection homomorphism Γ plays an important role. In this paper we provide a dynamical interpretation of this map. Roughly, R “emits” an element of its Conley index as a “wavefront”, part of which intersects the connecting orbits in S. This subset of the wavefront evolves towards A and is then “received” by it to produce an element in its Conley index.
PB Elselvier
SN 0022-0396
YR 2025
FD 2025
LK https://hdl.handle.net/20.500.14352/132696
UL https://hdl.handle.net/20.500.14352/132696
LA eng
NO Sánchez-Gabites, J. J. A dynamical interpretation of the connection map of an attractor-repeller decomposition. Journal of Differential Equations 428 (2025): 688-720.
NO Acuerdos transformativos CRUE 2025
NO Ministerio de Ciencia e Innovación
NO Agencia Estatal de Investigación
DS Docta Complutense
RD 26 feb 2026