RT Journal Article
T1 Higher dimensional topology and generalized Hopf bifurcations for discrete dynamical systems
A1 Barge, Héctor
A1 Sanjurjo, José M. R.
AB In this paper we study generalized Poincar´e-Andronov-Hopf bifurcations of discrete dynamical systems. We prove a general result for attractors in n-dimensional manifolds satisfying some suitable conditions. This result allows us to obtain sharper Hopf bifurcation theorems for fixed points in the general case and other attractors in low dimensional manifolds. Topological techniques based on the notion of concentricity of manifolds play a substantial role in the paper.
PB American Institute of Mathematical Sciences
SN 1078-0947
YR 2022
FD 2022
LK https://hdl.handle.net/20.500.14352/72026
UL https://hdl.handle.net/20.500.14352/72026
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
DS Docta Complutense
RD 9 abr 2025