1. Department of Mathematics and Computer Science, Leiden University, P.O. Box 9512, 2300 RA, Leiden, The Netherlands 2. Mathematisches Institut, Universit?t Tübingen, Auf der Morgenstelle 10, D-72076, Tübingen, Germany
Abstract:
This paper deals with the long-time behaviour of numerical solutions of delay differential equations that have asymptotically
stable periodic orbits. It is shown that Runge-Kutta discretizations of such equations have attractive invariant curves which
approximate the periodic orbit with the order of the method.
The research by this author has been made possible by a fellowship of the Royal Netherlands Academy of Arts and Sciences.