Covering relations, cone conditions and blenders

Speaker. Maciej Capiński
Date. 20.12.22 at 2:00 pm

Abstract. We shall discuss a blender construction, which is based on correct topological alignment of sets combined with propagation of cones. The method is also applicable for establishing heterodimensional cycles. The assumptions of our theorems allow for computer assisted validation. We apply the method to the Hénon-like family of diffeomorphisms, obtaining a computer assisted proof of the existence of blenders for a given parameter range.