title: Topological scaling and gap filling at crisis
abstract: Scaling laws associated with an interior crisis of chaotic dynamical systems are studied. We argue that open gaps of the chaotic set become densely filled at the crisis due to the sudden appearance of unstable periodic orbits with extremely long periods. We formulate a scaling theory for the associated growth of the topological entropy.
authors.affiliation: Department of Mathematics, University of Kansas, Lawrence 66045, USA.
authors.initials: KG
authors.lastname: Szabo
authors.initials: YC
authors.lastname: Lai
authors.initials: T
authors.lastname: Tel
authors.initials: C
authors.lastname: Grebogi