Finite dimensional state representation of nonlinear delay systems

2015-10-26
10:00-11:00
Famnit-VP
Mats Gyllenberg (Finnish Centre of Excellence in Analysis and Dynamics Research, Department of Mathematics and Statistics, University of Helsinki)
Finite dimensional state representation of nonlinear delay systems

In this talk I give necessary and sufficient conditions for when a system of nonlinear delay equations can be reduced to a system of ordinary differential equations. The class of systems considered contains nonlinear models of physiologically structured populations.

 My talk is based on joint work (in progress) with Odo Diekmann and Hans Metz.