Unstable periodic orbits and discretization cycles.
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.
Binder
P-M
PM
Department of Physics and Astronomy, University of Hawaii, Hilo, Hawaii 96720-4091, USA. pbinder@hawaii.edu
Okamoto
Nicholas H
NH