Dirk Lebiedz and Pascal Heiter

Department of Numerical Mathematics, Ulm University

Tuesday, June 03, 2014, 15:00 - 16:30

Room 02-012, Georges-Köhler Allee 102, Freiburg 79110, Germany

A key issue in dimension reduction of dissipative dynamical systems with spectral gaps, which occur in particular in chemical kinetics, is the identification of slow invariant manifolds. We present theoretical and numerical results for a variational approach to the problem of computing such manifolds for finite-dimensional dynamical systems using trajectory optimization. The corresponding objective functional reflects a variational principle that characterizes trajectories on slow invariant manifolds.