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Large-Scale Networks in Engineering and Life SciencesIntroduction to the Geometric Theory of ODEs with Applications to Chemical Processes

Large-Scale Networks in Engineering and Life Sciences: Introduction to the Geometric Theory of... [We give an introduction to the geometric theory of ordinary differential equations (ODEs) tailored to applications to biochemical reaction networks and chemical separation processes. Quite often, the ordinary differential equations under investigation are “reduced” partial differential equations (PDEs) as in the search of traveling wave solutions. So, we also address ODE topics that have their origin in the PDE context.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Large-Scale Networks in Engineering and Life SciencesIntroduction to the Geometric Theory of ODEs with Applications to Chemical Processes

Part of the Modeling and Simulation in Science, Engineering and Technology Book Series
Editors: Benner, Peter; Findeisen, Rolf; Flockerzi, Dietrich; Reichl, Udo; Sundmacher, Kai
Flockerzi, Dietrich
Large-Scale Networks in Engineering and Life Sciences — Jul 30, 2014
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122 pages

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Publisher
Springer International Publishing
Copyright
© Springer International Publishing Switzerland 2014
ISBN
978-3-319-08436-7
Pages
1 –123
DOI
10.1007/978-3-319-08437-4_1
Publisher site
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Abstract

[We give an introduction to the geometric theory of ordinary differential equations (ODEs) tailored to applications to biochemical reaction networks and chemical separation processes. Quite often, the ordinary differential equations under investigation are “reduced” partial differential equations (PDEs) as in the search of traveling wave solutions. So, we also address ODE topics that have their origin in the PDE context.]

Published: Jul 30, 2014

Keywords: Stability; Integral manifolds and method of characteristics; Center manifolds and asymptotic phases; Reduction methods and bifurcations; Quasi-stationary approximations and singular perturbations; Slow invariant manifolds; Reactive and chromatographic separation networks

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