PageHeader : Funkcialaj Ekvacioj, 42 (1999) 201-223 Title : Exceptional Complex Solutions of the Forced Title : van der Pol Equation AuthorInfo : By AuthorInfo : Augustin FRUCHARD and Reinhard SCHAFKE AuthorInfo : (Universite de La Rochelle and Universite Louis Pasteur, France) AuthorInfo : Dedicated to the memory of Jean-Louis Callot section : 1. Introduction section : 2. The linear equation subsection : 2.1 Construction of the domain $D_{\delta}$ . subsection : 2.2 Exceptional values and solutions section : 3. Exceptional values in the case of positive $\epsilon$ section : 4. Analytic continuation of the exceptional values section : 5. Consequences for the $\epsilon$ -shadow expansions section : Appendix: Some basics of Nonstandard Analysis section : References