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Stationary Points

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Reaction Kinetics: Exercises, Programs and Theorems

Abstract

What happens in a reaction when nothing seems to happen macroscopically? This is the case of constant solutions or stationary points (also called equilibria or steady states) of the induced kinetic differential equations. Existence, nonnegativity, and uniqueness are treated and also special properties such as complex balancing and detailed balancing. These properties will turn out to be useful to study stability properties in the chapter on transient behavior. Connections of stationary points with first integrals are also mentioned.

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Authors and Affiliations

  1. Department of Analysis, Budapest University of Technology and Economics, Budapest, Hungary

    János Tóth

  2. Chemical Kinetics Laboratory, Eötvös Loránd University, Budapest, Hungary

    János Tóth

  3. Department of Stochastics, Budapest University of Technology and Economics, Budapest, Hungary

    Attila László Nagy

  4. Department of Mathematics, North Carolina State University, Raleigh, USA

    Dávid Papp

Authors
  1. János Tóth
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  2. Attila László Nagy
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  3. Dávid Papp
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Tóth, J., Nagy, A.L., Papp, D. (2018). Stationary Points. In: Reaction Kinetics: Exercises, Programs and Theorems. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-8643-9_7

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