Invariant Manifolds and Applications for Functional Differential-Algebraic Equations of Mixed Type
by
Hermen Jan Hupkes
University of Leiden
Coauthors: E. Augeraud-Véron (University of La Rochelle) S.M. Verduyn-Lunel (University of Leiden)

Recently, differential equations involving both delayed and advanced arguments have appeared in an increasing number of models, originating from a wide variety of scientific disciplines. We present recent results concerning the existence of center manifolds and the occurrence of Hopf bifurcations for various types of such equations. In particular, we focus on a differential-algebraic equation with mixed arguments that arises from an economic life-cycle model and exhibit, both analytically and numerically, the presence of periodic cycles in the economy under consideration.

Date received: June 29, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavj-25.