Bifurcations of the Hénon map with additive bounded noise
File(s)
Author(s)
Lamb, Jeroen SW
Rasmussen, Martin
Tey, Wei Hao
Type
Journal Article
Abstract
We numerically study bifurcations of attractors of the Hénon map with additive bounded noise with spherical reach. The bifurcations are analyzed using a finite-dimensional boundary map. We distinguish between two types of bifurcations: topological bifurcations and boundary bifurcations. Topological bifurcations describe discontinuous changes of attractors, and boundary bifurcations occur when singularities of an attractor’s boundary are created or destroyed. We identify correspondences between topological and boundary bifurcations of attractors and local and global bifurcations of the boundary map.
Date Issued
2026-03-31
Date Acceptance
2025-08-20
Citation
SIAM Journal on Applied Dynamical Systems, 2026, 25 (1), pp.351-374
ISSN
1536-0040
Publisher
Society for Industrial and Applied Mathematics
Start Page
351
End Page
374
Journal / Book Title
SIAM Journal on Applied Dynamical Systems
Volume
25
Issue
1
Copyright Statement
Copyright © 2026 Society for Industrial and Applied Mathematics. This is the author’s accepted manuscript made available under a CC-BY licence in accordance with Imperial’s Research Publications Open Access policy (www.imperial.ac.uk/oa-policy)
License URL
Publication Status
Published
Date Publish Online
2026-01-28