Taylor‐model‐based enclosure of invariant manifolds for planar diffeomorphisms and applications
Taylor‐model‐based enclosure of invariant manifolds for planar diffeomorphisms and applications
Abstract Fundamental questions in the study of interesting dynamics of planar diffeomorphisms like the Hénon map involve homoclinic phenomena, topological entropy and strange attractors. Inherently, answering these questions requires knowledge about the stable and unstable manifolds, which in the typical case in the plane are smooth curves. We present a …