Speaker
Description
In an earlier work with Boronski, we classified (up to conjugacy) the Henon 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 via the stable manifold $W^s$ of $X$. We consider a region of dissipation $D$ for the Henon map and study the connected components of $D \cap W^s$. To each such component, we assign a separation type and prove that two Henon maps are conjugate if and only if their corresponding components share the same separation type.
This is joint work with Jan Boronski.