Abstract: In an earlier work with Sonja Štimac, we classified (up to conjugacy) the Hénon maps with strange attractors in terms of three invariants that we introduced for them: (a)
kneading sequences, (b) pruned trees, and (c) folding patterns of the unstable manifold of the hyperbolic fixed point X in the attractor. In my talk, I will introduce yet another
way to determine conjugacy classes of these maps, this time purely from the topology of the stable manifold W of X. We consider a region of dissipation D for the Hénon map and study the connected components of D ∩ W. To each such component, we assign a separation type and prove that two Hénon maps are conjugate if and only if
their corresponding components share the same separation type. This is joint work with Sonja Štimac.
Classification of Hénon maps with strange attractors via the topology of a stable manifold
21.02.2026 12:00 - 12:45
Organiser:
H. Bruin, R. Zweimüller
Location:
TBA
Location:
HS 12, OMP 1