title: Unstable periodic orbits and discretization cycles.
abstract: Limit cycles that arise from discretizing the variable(s) of a nonlinear map are generally found to shadow individual unstable periodic orbits (UPOs) of the corresponding continuous map. In a few cases the discretization cycles can only be explained with other mechanisms, such as the near-occurrence of an UPO, or crossover between two or more UPOs.
authors.affiliation: Department of Physics and Astronomy, University of Hawaii, Hilo, Hawaii 96720-4091, USA. pbinder@hawaii.edu
authors.forename: P-M
authors.initials: PM
authors.lastname: Binder
authors.forename: Nicholas H
authors.initials: NH
authors.lastname: Okamoto