Introduction to the Geometric Theory of ODEs with Applications to Chemical Processes

DOI10.1007/978-3-319-08437-4_1zbMath1322.34002OpenAlexW12973396MaRDI QIDQ5256760

Dietrich Flockerzi

Publication date: 19 June 2015

Published in: Large-Scale Networks in Engineering and Life Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-08437-4_1

zbMATH Keywords

stabilityslow invariant manifoldscenter manifolds and asymptotic phasesintegral manifolds and method of characteristicsquasi-stationary approximations and singular perturbationsreactive and chromatographic separation networksreduction methods and bifurcations

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Classical flows, reactions, etc. in chemistry (92E20) Geometric methods in ordinary differential equations (34A26) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Invariant manifolds for ordinary differential equations (34C45) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

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