Model reduction of multiple time scale processes in non-standard singularly perturbed form

Abstract

This work considers multiple time scale models in non standard singularly perturbed form. These systems naturally arise as descriptions of detailed rate-based process models of fast-rate chemical processes with several large parameters of different orders of magnitude. We propose a systematic framework to derive representations of the dynamics in individual time scales. A nonlinear coordinate transformation is presented to yield a standard singularly perturbed form of the original system. This approach is applied to a representative multiple time scale chemical process with reactions whose reaction rates span different orders of magnitude. © 2006 Springer-Verlag Berlin Heidelberg.