Higher dimensional topology and generalized Hopf bifurcations for discrete dynamical systems

Impacto

Downloads

Downloads per month over past year



Barge, Héctor and Sanjurjo, José M. R. (2022) Higher dimensional topology and generalized Hopf bifurcations for discrete dynamical systems. Discrete and Continuous Dynamical Systems. Series A., 42 (6). ISSN 1078-0947

[thumbnail of sanjurjo_higher.pdf] PDF
Creative Commons Attribution.

215kB

Official URL: https://www.aimsciences.org/article/doi/10.3934/dcds.2021204



Abstract

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.


Item Type:Article
Uncontrolled Keywords:Hopf bifurcation, Attractor, Bosuk’s homotopy
Subjects:Sciences > Mathematics > Topology
ID Code:74699
Deposited On:22 Sep 2022 11:47
Last Modified:23 Sep 2022 07:46

Origin of downloads

Repository Staff Only: item control page