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The Book of Numbers

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2114)

Abstract

In this chapter the first number in the title of a section denotes the dimension of the slow variable, the second one denotes the dimension of the fast variable. A series of examples, of increasing complexity, are given to illustrate the theoretical concepts. The main examples come from applications in enzyme kinetics. These examples illustrate the effectiveness of the order reduction method.

Keywords

  • Asymptotic Expansion
  • Invariant Manifold
  • Slow Manifold
  • Zero Order Approximation
  • Invariance Equation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 2014 Springer International Publishing Switzerland

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Shchepakina, E., Sobolev, V., Mortell, M.P. (2014). The Book of Numbers. In: Singular Perturbations. Lecture Notes in Mathematics, vol 2114. Springer, Cham. https://doi.org/10.1007/978-3-319-09570-7_3

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