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  Numerical analysis of higher order singularities in chemical process models

Krasnyk, M., Ginkel, M., Mangold, M., & Kienle, A. (2007). Numerical analysis of higher order singularities in chemical process models. Computers and Chemical Engineering, 31(9), 1100-1110. doi:10.1016/j.compchemeng.2006.09.010.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-989C-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-3887-B
Genre: Journal Article

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 Creators:
Krasnyk, M.1, Author              
Ginkel, Martin2, Author              
Mangold, M.1, Author              
Kienle, A.1, 3, Author              
Affiliations:
1Process Synthesis and Process Dynamics, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society, ou_1738153              
2Systems Biology, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society, ou_1738155              
3Otto-von-Guericke-Universität Magdeburg, External Organizations, ou_1738156              

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Free keywords: Singularity analysis; Organising centre; Continuation
 Abstract: In this contribution, a tool is presented that allows the continuation of singularities of higher codimension for complex chemical process models. The tool is an extension of the process-modelling tool ProMoT. It allows creating augmented systems for simple zero eigenvalue bifurcation points. Parameter continuation of such points allows to produce different varieties for hysteresis, isolas, pitchforks or winged cusps singularities. Required higher order directional derivatives are obtained analytically via an interface to the computer algebra system Maxima. © 2006 Elsevier Ltd. All rights reserved. [accessed 2013 December 4th]

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Language(s): eng - English
 Dates: 2007
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 297151
Other: 8/07
DOI: 10.1016/j.compchemeng.2006.09.010
 Degree: -

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Title: Computers and Chemical Engineering
  Other : Comp. Chem. Engng.
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: Oxford : Pergamon
Pages: - Volume / Issue: 31 (9) Sequence Number: - Start / End Page: 1100 - 1110 Identifier: ISSN: 0098-1354
CoNE: https://pure.mpg.de/cone/journals/resource/954925466259