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.

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