Multiscale Geometry of the Olsen Model and Non-classical Relaxation Oscillations

  title={Multiscale Geometry of the Olsen Model and Non-classical Relaxation Oscillations},
  author={C. Kuehn and P. Szmolyan},
  journal={Journal of Nonlinear Science},
  • C. Kuehn, P. Szmolyan
  • Published 2015
  • Computer Science, Mathematics, Physics
  • Journal of Nonlinear Science
  • We study the Olsen model for the peroxidase–oxidase reaction. The dynamics is analyzed using a geometric decomposition based on multiple timescales. The Olsen model is four-dimensional, not in a standard form required by geometric singular perturbation theory and contains multiple small parameters. These three obstacles are the main challenges we resolve by our analysis. Scaling and the blow-up method are used to identify several subsystems. The results presented here provide a rigorous… CONTINUE READING
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